[
  {
    "id": "ProntoQA_train_hop-3_case-22_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Wumpuses are sweet. Every rompus is not small. Every wumpus is a zumpus. Zumpuses are cold. Each zumpus is an impus. Impuses are small. Each impus is a tumpus. Each tumpus is earthy. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Sweet($x, True)\nrule2: Rompus($x, True) → Small($x, False)\nrule3: Wumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Cold($x, True)\nrule5: Zumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Small($x, True)\nrule7: Impus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Earthy($x, True)\nrule9: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nImpus('Fae', True)\nTumpus('Fae', True)\nSweet('Fae', True)\nCold('Fae', True)\nSmall('Fae', True)\nEarthy('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Fae', False)\nAccording to the implied fact: Small('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-223_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Every impus is bright. Impuses are wumpuses. Wumpuses are nervous. Wumpuses are yumpuses. Yumpuses are floral. Yumpuses are zumpuses. Every zumpus is not blue. Each rompus is not nervous. Every zumpus is a numpus. Each numpus is luminous. Every numpus is a tumpus. Tumpuses are not transparent. Each tumpus is a vumpus. Vumpuses are not small. Every vumpus is a jompus. Each jompus is not spicy. Each jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Bright($x, True)\nrule2: Impus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Nervous($x, True)\nrule4: Wumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Floral($x, True)\nrule6: Yumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Blue($x, False)\nrule8: Rompus($x, True) → Nervous($x, False)\nrule9: Zumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Luminous($x, True)\nrule11: Numpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Transparent($x, False)\nrule13: Tumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Small($x, False)\nrule15: Vumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Spicy($x, False)\nrule17: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Floral($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Blue($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Luminous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Transparent($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Spicy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Spicy('Stella', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nYumpus('Stella', True)\nZumpus('Stella', True)\nNumpus('Stella', True)\nTumpus('Stella', True)\nVumpus('Stella', True)\nJompus('Stella', True)\nBright('Stella', True)\nNervous('Stella', True)\nFloral('Stella', True)\nBlue('Stella', False)\nLuminous('Stella', True)\nTransparent('Stella', False)\nSmall('Stella', False)\nSpicy('Stella', False)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Stella', False)\nAccording to the implied fact: Wumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-188_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Every wumpus is not brown. Wumpuses are rompuses. Every rompus is aggressive. Zumpuses are sweet. Every rompus is a numpus. Numpuses are not feisty. Numpuses are yumpuses. Every yumpus is hot. Yumpuses are dumpuses. Dumpuses are not sweet. Every dumpus is an impus. Impuses are large. Impuses are jompuses. Jompuses are not opaque. Jompuses are tumpuses. Tumpuses are wooden. Every tumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAggressive($x, bool) ::: Is x aggressive?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Brown($x, False)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Aggressive($x, True)\nrule4: Zumpus($x, True) → Sweet($x, True)\nrule5: Rompus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Feisty($x, False)\nrule7: Numpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Hot($x, True)\nrule9: Yumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Sweet($x, False)\nrule11: Dumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Large($x, True)\nrule13: Impus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Opaque($x, False)\nrule15: Jompus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Wooden($x, True)\nrule17: Tumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Sweet($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nImpus('Sam', True)\nJompus('Sam', True)\nTumpus('Sam', True)\nHot('Sam', True)\nSweet('Sam', False)\nLarge('Sam', True)\nOpaque('Sam', False)\nWooden('Sam', True)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Sam', True)\nAccording to the implied fact: Opaque('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-484_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Rompuses are hot. Rompuses are tumpuses. Every tumpus is luminous. Each zumpus is not sour. Every tumpus is a jompus. Every jompus is sour. Jompuses are wumpuses. Every wumpus is happy. Every wumpus is a numpus. Numpuses are earthy. Each numpus is a vumpus. Each vumpus is not brown. Every vumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Hot($x, True)\nrule2: Rompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Luminous($x, True)\nrule4: Zumpus($x, True) → Sour($x, False)\nrule5: Tumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Sour($x, True)\nrule7: Jompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Happy($x, True)\nrule9: Wumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Earthy($x, True)\nrule11: Numpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Brown($x, False)\nrule13: Vumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Sour($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Brown($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Brown('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nWumpus('Sam', True)\nNumpus('Sam', True)\nVumpus('Sam', True)\nLuminous('Sam', True)\nSour('Sam', True)\nHappy('Sam', True)\nEarthy('Sam', True)\nBrown('Sam', False)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Sam', False)\nAccording to the implied fact: Sour('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-375_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Wumpuses are aggressive. Each wumpus is a yumpus. Yumpuses are not small. Every yumpus is a vumpus. Vumpuses are floral. Vumpuses are impuses. Each zumpus is not hot. Every impus is hot. Impuses are jompuses. Jompuses are opaque. Jompuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Aggressive($x, True)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Small($x, False)\nrule4: Yumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Floral($x, True)\nrule6: Vumpus($x, True) → Impus($x, True)\nrule7: Zumpus($x, True) → Hot($x, False)\nrule8: Impus($x, True) → Hot($x, True)\nrule9: Impus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Opaque($x, True)\nrule11: Jompus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Small($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Impus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nVumpus('Sally', True)\nImpus('Sally', True)\nJompus('Sally', True)\nAggressive('Sally', True)\nSmall('Sally', False)\nFloral('Sally', True)\nHot('Sally', True)\nOpaque('Sally', True)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Sally', False)\nAccording to the implied fact: Floral('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-217_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Numpuses are angry. Every vumpus is not blue. Every numpus is a yumpus. Each yumpus is temperate. Yumpuses are impuses. Each impus is bright. Impuses are tumpuses. Each tumpus is transparent. Tumpuses are dumpuses. Each dumpus is not small. Dumpuses are rompuses. Rompuses are blue. Every rompus is a zumpus. Zumpuses are floral. Zumpuses are jompuses. Each jompus is bitter. Every jompus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAngry($x, bool) ::: Is x angry?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Angry($x, True)\nrule2: Vumpus($x, True) → Blue($x, False)\nrule3: Numpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Temperate($x, True)\nrule5: Yumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Bright($x, True)\nrule7: Impus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Transparent($x, True)\nrule9: Tumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Small($x, False)\nrule11: Dumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Blue($x, True)\nrule13: Rompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Floral($x, True)\nrule15: Zumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Bitter($x, True)\nrule17: Jompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Impus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Small($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Bitter($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nDumpus('Alex', True)\nRompus('Alex', True)\nZumpus('Alex', True)\nJompus('Alex', True)\nBright('Alex', True)\nTransparent('Alex', True)\nSmall('Alex', False)\nBlue('Alex', True)\nFloral('Alex', True)\nBitter('Alex', True)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Alex', True)\nAccording to the implied fact: Blue('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-40_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Each yumpus is not shy. Each tumpus is shy. Every tumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Shy($x, False)\nrule2: Tumpus($x, True) → Shy($x, True)\nrule3: Tumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nShy('Max', True)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Max', True)\nAccording to the implied fact: Jompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-139_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Each vumpus is brown. Every vumpus is a tumpus. Wumpuses are not luminous. Each tumpus is not floral. Every tumpus is a jompus. Jompuses are luminous. Each jompus is a zumpus. Zumpuses are amenable. Each zumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Brown($x, True)\nrule2: Vumpus($x, True) → Tumpus($x, True)\nrule3: Wumpus($x, True) → Luminous($x, False)\nrule4: Tumpus($x, True) → Floral($x, False)\nrule5: Tumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Luminous($x, True)\nrule7: Jompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Amenable($x, True)\nrule9: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Jompus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Amenable($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nLuminous('Sam', True)\nAmenable('Sam', True)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Sam', True)\nAccording to the implied fact: Luminous('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-292_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Rompuses are bright. Rompuses are numpuses. Every numpus is opaque. Numpuses are yumpuses. Every yumpus is large. Every yumpus is a zumpus. Tumpuses are not large. Each zumpus is not spicy. Each zumpus is a dumpus. Dumpuses are luminous. Dumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, True)\nrule2: Rompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Opaque($x, True)\nrule4: Numpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Large($x, True)\nrule6: Yumpus($x, True) → Zumpus($x, True)\nrule7: Tumpus($x, True) → Large($x, False)\nrule8: Zumpus($x, True) → Spicy($x, False)\nrule9: Zumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Luminous($x, True)\nrule11: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Yumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Zumpus($x, True) → Spicy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Spicy('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nDumpus('Polly', True)\nLarge('Polly', True)\nSpicy('Polly', False)\nLuminous('Polly', True)\nJompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Polly', True)\nAccording to the implied fact: Jompus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-498_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Impuses are not transparent. Every impus is a tumpus. Dumpuses are amenable. Each tumpus is nervous. Each tumpus is a yumpus. Every yumpus is not amenable. Yumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Transparent($x, False)\nrule2: Impus($x, True) → Tumpus($x, True)\nrule3: Dumpus($x, True) → Amenable($x, True)\nrule4: Tumpus($x, True) → Nervous($x, True)\nrule5: Tumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Amenable($x, False)\nrule7: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Nervous('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Amenable($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nNervous('Polly', True)\nAmenable('Polly', False)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Polly', False)\nAccording to the implied fact: Wumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-49_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Each impus is spicy. Vumpuses are not opaque. Every vumpus is a rompus. Every rompus is not brown. Rompuses are jompuses. Each jompus is dull. Every jompus is a wumpus. Each wumpus is luminous. Each wumpus is a tumpus. Every tumpus is not fruity. Each tumpus is a numpus. Numpuses are not amenable. Numpuses are yumpuses. Every yumpus is not shy. Yumpuses are zumpuses. Zumpuses are not spicy. Zumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Spicy($x, True)\nrule2: Vumpus($x, True) → Opaque($x, False)\nrule3: Vumpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Brown($x, False)\nrule5: Rompus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Dull($x, True)\nrule7: Jompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Luminous($x, True)\nrule9: Wumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Fruity($x, False)\nrule11: Tumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Amenable($x, False)\nrule13: Numpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Shy($x, False)\nrule15: Yumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Spicy($x, False)\nrule17: Zumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Numpus($x, True) → Amenable($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Spicy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nZumpus('Alex', True)\nAmenable('Alex', False)\nShy('Alex', False)\nSpicy('Alex', False)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not shy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nShy('Alex', False)\nAccording to the implied fact: Shy('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-272_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Each tumpus is not bitter. Rompuses are shy. Each tumpus is a vumpus. Each vumpus is metallic. Vumpuses are dumpuses. Dumpuses are not shy. Each dumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bitter($x, False)\nrule2: Rompus($x, True) → Shy($x, True)\nrule3: Tumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Metallic($x, True)\nrule5: Vumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Shy($x, False)\nrule7: Dumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Shy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nDumpus('Wren', True)\nMetallic('Wren', True)\nShy('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Wren', True)\nAccording to the implied fact: Metallic('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-22_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Zumpuses are not large. Every zumpus is a numpus. Dumpuses are not angry. Numpuses are nervous. Each numpus is a jompus. Jompuses are wooden. Every jompus is a rompus. Rompuses are bright. Each rompus is a wumpus. Wumpuses are angry. Wumpuses are tumpuses. Tumpuses are brown. Every tumpus is a yumpus. Yumpuses are opaque. Yumpuses are vumpuses. Vumpuses are temperate. Vumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Large($x, False)\nrule2: Zumpus($x, True) → Numpus($x, True)\nrule3: Dumpus($x, True) → Angry($x, False)\nrule4: Numpus($x, True) → Nervous($x, True)\nrule5: Numpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Wooden($x, True)\nrule7: Jompus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Bright($x, True)\nrule9: Rompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Angry($x, True)\nrule11: Wumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Brown($x, True)\nrule13: Tumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Opaque($x, True)\nrule15: Yumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Temperate($x, True)\nrule17: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Large($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Numpus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Angry($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Brown($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Brown('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Temperate($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Sam', True)\nJompus('Sam', True)\nRompus('Sam', True)\nWumpus('Sam', True)\nTumpus('Sam', True)\nYumpus('Sam', True)\nVumpus('Sam', True)\nLarge('Sam', False)\nNervous('Sam', True)\nWooden('Sam', True)\nBright('Sam', True)\nAngry('Sam', True)\nBrown('Sam', True)\nOpaque('Sam', True)\nTemperate('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sam', False)\nAccording to the implied fact: Jompus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-388_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Vumpuses are opaque. Each numpus is not metallic. Vumpuses are impuses. Impuses are blue. Every impus is a zumpus. Every zumpus is metallic. Zumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, True)\nrule2: Numpus($x, True) → Metallic($x, False)\nrule3: Vumpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Blue($x, True)\nrule5: Impus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Metallic($x, True)\nrule7: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nMetallic('Wren', True)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Wren', True)\nAccording to the implied fact: Metallic('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-321_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Wumpuses are blue. Each wumpus is a jompus. Jompuses are luminous. Every jompus is a tumpus. Every tumpus is fruity. Each impus is nervous. Each tumpus is a dumpus. Dumpuses are kind. Every dumpus is a vumpus. Vumpuses are not nervous. Every vumpus is a numpus. Numpuses are hot. Every numpus is a zumpus. Each zumpus is dull. Zumpuses are yumpuses. Yumpuses are small. Yumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Blue($x, True)\nrule2: Wumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Luminous($x, True)\nrule4: Jompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Fruity($x, True)\nrule6: Impus($x, True) → Nervous($x, True)\nrule7: Tumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Kind($x, True)\nrule9: Dumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Nervous($x, False)\nrule11: Vumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Hot($x, True)\nrule13: Numpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Dull($x, True)\nrule15: Zumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Small($x, True)\nrule17: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Luminous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Kind($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Nervous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nTumpus('Alex', True)\nDumpus('Alex', True)\nVumpus('Alex', True)\nNumpus('Alex', True)\nZumpus('Alex', True)\nYumpus('Alex', True)\nBlue('Alex', True)\nLuminous('Alex', True)\nFruity('Alex', True)\nKind('Alex', True)\nNervous('Alex', False)\nHot('Alex', True)\nDull('Alex', True)\nSmall('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not kind.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nKind('Alex', False)\nAccording to the implied fact: Kind('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-181_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Each yumpus is small. Every yumpus is a tumpus. Tumpuses are mean. Every tumpus is a jompus. Every jompus is happy. Every jompus is a vumpus. Vumpuses are orange. Each vumpus is a wumpus. Every wumpus is cold. Dumpuses are not cold. Every wumpus is a zumpus. Zumpuses are transparent. Zumpuses are numpuses. Each numpus is not sweet. Every numpus is an impus. Impuses are not liquid. Impuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Small($x, True)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Mean($x, True)\nrule4: Tumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Happy($x, True)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Orange($x, True)\nrule8: Vumpus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Cold($x, True)\nrule10: Dumpus($x, True) → Cold($x, False)\nrule11: Wumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Transparent($x, True)\nrule13: Zumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Sweet($x, False)\nrule15: Numpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Liquid($x, False)\nrule17: Impus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Mean($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Mean('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Orange($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Sweet($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Liquid($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Liquid('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nVumpus('Sam', True)\nWumpus('Sam', True)\nZumpus('Sam', True)\nNumpus('Sam', True)\nImpus('Sam', True)\nMean('Sam', True)\nHappy('Sam', True)\nOrange('Sam', True)\nCold('Sam', True)\nTransparent('Sam', True)\nSweet('Sam', False)\nLiquid('Sam', False)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sam', True)\nAccording to the implied fact: Numpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-304_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Every zumpus is temperate. Every zumpus is an impus. Impuses are spicy. Numpuses are not large. Every impus is a rompus. Every rompus is opaque. Every rompus is a jompus. Every jompus is fruity. Jompuses are wumpuses. Every wumpus is large. Each wumpus is a tumpus. Every tumpus is shy. Tumpuses are dumpuses. Every dumpus is bright. Dumpuses are vumpuses. Vumpuses are mean. Vumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Temperate($x, True)\nrule2: Zumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Spicy($x, True)\nrule4: Numpus($x, True) → Large($x, False)\nrule5: Impus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Opaque($x, True)\nrule7: Rompus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Fruity($x, True)\nrule9: Jompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Large($x, True)\nrule11: Wumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Shy($x, True)\nrule13: Tumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Bright($x, True)\nrule15: Dumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Mean($x, True)\nrule17: Vumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Impus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Mean($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Mean('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nRompus('Rex', True)\nJompus('Rex', True)\nWumpus('Rex', True)\nTumpus('Rex', True)\nDumpus('Rex', True)\nVumpus('Rex', True)\nTemperate('Rex', True)\nSpicy('Rex', True)\nOpaque('Rex', True)\nFruity('Rex', True)\nLarge('Rex', True)\nShy('Rex', True)\nBright('Rex', True)\nMean('Rex', True)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Rex', False)\nAccording to the implied fact: Mean('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-310_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Wumpuses are not spicy. Each tumpus is large. Every wumpus is a dumpus. Dumpuses are not wooden. Each dumpus is a numpus. Every numpus is cold. Numpuses are impuses. Impuses are aggressive. Every impus is a yumpus. Yumpuses are not fruity. Each yumpus is a vumpus. Every vumpus is bright. Each vumpus is a jompus. Jompuses are red. Each jompus is a zumpus. Zumpuses are not large. Each zumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Spicy($x, False)\nrule2: Tumpus($x, True) → Large($x, True)\nrule3: Wumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Wooden($x, False)\nrule5: Dumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Cold($x, True)\nrule7: Numpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Aggressive($x, True)\nrule9: Impus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Fruity($x, False)\nrule11: Yumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Bright($x, True)\nrule13: Vumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Red($x, True)\nrule15: Jompus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Large($x, False)\nrule17: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Impus($x, True) → Aggressive($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Aggressive('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Fruity($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Red($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nVumpus('Stella', True)\nJompus('Stella', True)\nZumpus('Stella', True)\nAggressive('Stella', True)\nFruity('Stella', False)\nBright('Stella', True)\nRed('Stella', True)\nLarge('Stella', False)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Stella', False)\nAccording to the implied fact: Red('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-371_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Each impus is not opaque. Vumpuses are temperate. Vumpuses are zumpuses. Zumpuses are red. Zumpuses are dumpuses. Dumpuses are earthy. Each dumpus is a rompus. Rompuses are bitter. Every rompus is a jompus. Every jompus is nervous. Each jompus is a wumpus. Every wumpus is opaque. Each wumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Opaque($x, False)\nrule2: Vumpus($x, True) → Temperate($x, True)\nrule3: Vumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Red($x, True)\nrule5: Zumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Earthy($x, True)\nrule7: Dumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Bitter($x, True)\nrule9: Rompus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Nervous($x, True)\nrule11: Jompus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Opaque($x, True)\nrule13: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Dumpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nJompus('Rex', True)\nWumpus('Rex', True)\nEarthy('Rex', True)\nBitter('Rex', True)\nNervous('Rex', True)\nOpaque('Rex', True)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Rex', True)\nAccording to the known fact: Dumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-79_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Each yumpus is spicy. Yumpuses are zumpuses. Zumpuses are floral. Zumpuses are rompuses. Rompuses are cold. Rompuses are tumpuses. Tumpuses are shy. Every tumpus is a wumpus. Each jompus is not blue. Wumpuses are blue. Wumpuses are vumpuses. Each vumpus is not wooden. Each vumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBlue($x, bool) ::: Is x blue?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Spicy($x, True)\nrule2: Yumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Floral($x, True)\nrule4: Zumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Cold($x, True)\nrule6: Rompus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Shy($x, True)\nrule8: Tumpus($x, True) → Wumpus($x, True)\nrule9: Jompus($x, True) → Blue($x, False)\nrule10: Wumpus($x, True) → Blue($x, True)\nrule11: Wumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Wooden($x, False)\nrule13: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Spicy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Wumpus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Wooden($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nRompus('Wren', True)\nTumpus('Wren', True)\nWumpus('Wren', True)\nVumpus('Wren', True)\nSpicy('Wren', True)\nFloral('Wren', True)\nCold('Wren', True)\nShy('Wren', True)\nBlue('Wren', True)\nWooden('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Wren', False)\nAccording to the implied fact: Zumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-469_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Dumpuses are orange. Dumpuses are wumpuses. Every wumpus is aggressive. Each wumpus is a jompus. Jompuses are spicy. Every jompus is a rompus. Rompuses are not opaque. Each rompus is a numpus. Vumpuses are opaque. Every numpus is dull. Numpuses are tumpuses. Tumpuses are floral. Tumpuses are yumpuses. Yumpuses are large. Yumpuses are zumpuses. Zumpuses are temperate. Every zumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Orange($x, True)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Aggressive($x, True)\nrule4: Wumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Spicy($x, True)\nrule6: Jompus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Opaque($x, False)\nrule8: Rompus($x, True) → Numpus($x, True)\nrule9: Vumpus($x, True) → Opaque($x, True)\nrule10: Numpus($x, True) → Dull($x, True)\nrule11: Numpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Floral($x, True)\nrule13: Tumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Large($x, True)\nrule15: Yumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Temperate($x, True)\nrule17: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Aggressive('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Numpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nJompus('Sam', True)\nRompus('Sam', True)\nNumpus('Sam', True)\nTumpus('Sam', True)\nYumpus('Sam', True)\nZumpus('Sam', True)\nOrange('Sam', True)\nAggressive('Sam', True)\nSpicy('Sam', True)\nOpaque('Sam', False)\nDull('Sam', True)\nFloral('Sam', True)\nLarge('Sam', True)\nTemperate('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sam', False)\nAccording to the known fact: Dumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-246_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a vumpus. Tumpuses are bright. Tumpuses are numpuses. Numpuses are fruity. Each numpus is a wumpus. Wumpuses are not temperate. Wumpuses are zumpuses. Jompuses are not transparent. Zumpuses are bitter. Zumpuses are vumpuses. Every vumpus is not luminous. Every vumpus is a rompus. Each rompus is mean. Each rompus is a dumpus. Every dumpus is transparent. Dumpuses are impuses. Impuses are brown. Impuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nVumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bright($x, True)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Fruity($x, True)\nrule4: Numpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Temperate($x, False)\nrule6: Wumpus($x, True) → Zumpus($x, True)\nrule7: Jompus($x, True) → Transparent($x, False)\nrule8: Zumpus($x, True) → Bitter($x, True)\nrule9: Zumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Luminous($x, False)\nrule11: Vumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Mean($x, True)\nrule13: Rompus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Transparent($x, True)\nrule15: Dumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Brown($x, True)\nrule17: Impus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Vumpus($x, True) → Luminous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Mean($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Mean('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Brown($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Brown('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nDumpus('Rex', True)\nImpus('Rex', True)\nLuminous('Rex', False)\nMean('Rex', True)\nTransparent('Rex', True)\nBrown('Rex', True)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Rex', True)\nAccording to the implied fact: Mean('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-113_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Wumpuses are blue. Wumpuses are dumpuses. Dumpuses are liquid. Each dumpus is a zumpus. Numpuses are transparent. Each zumpus is bright. Each zumpus is a tumpus. Tumpuses are not transparent. Every tumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Blue($x, True)\nrule2: Wumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Liquid($x, True)\nrule4: Dumpus($x, True) → Zumpus($x, True)\nrule5: Numpus($x, True) → Transparent($x, True)\nrule6: Zumpus($x, True) → Bright($x, True)\nrule7: Zumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Transparent($x, False)\nrule9: Tumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Liquid($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nZumpus('Fae', True)\nTumpus('Fae', True)\nBlue('Fae', True)\nLiquid('Fae', True)\nBright('Fae', True)\nTransparent('Fae', False)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Fae', True)\nAccording to the implied fact: Liquid('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-63_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Each numpus is large. Each vumpus is cold. Vumpuses are tumpuses. Every tumpus is not large. Tumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Large($x, True)\nrule2: Vumpus($x, True) → Cold($x, True)\nrule3: Vumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Large($x, False)\nrule5: Tumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Vumpus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nCold('Stella', True)\nLarge('Stella', False)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Stella', True)\nAccording to the implied fact: Tumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-63_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Dumpuses are small. Dumpuses are impuses. Impuses are angry. Each impus is a jompus. Jompuses are not dull. Each jompus is a vumpus. Every vumpus is metallic. Vumpuses are yumpuses. Yumpuses are not blue. Yumpuses are wumpuses. Wumpuses are transparent. Wumpuses are rompuses. Each numpus is not transparent. Each rompus is feisty. Every rompus is a zumpus. Each zumpus is not bitter. Zumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Small($x, True)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Angry($x, True)\nrule4: Impus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Dull($x, False)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Metallic($x, True)\nrule8: Vumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Blue($x, False)\nrule10: Yumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Transparent($x, True)\nrule12: Wumpus($x, True) → Rompus($x, True)\nrule13: Numpus($x, True) → Transparent($x, False)\nrule14: Rompus($x, True) → Feisty($x, True)\nrule15: Rompus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Bitter($x, False)\nrule17: Zumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Vumpus($x, True) → Metallic($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Blue($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Rompus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Bitter($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bitter('Stella', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nWumpus('Stella', True)\nRompus('Stella', True)\nZumpus('Stella', True)\nMetallic('Stella', True)\nBlue('Stella', False)\nTransparent('Stella', True)\nFeisty('Stella', True)\nBitter('Stella', False)\nTumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Stella', True)\nAccording to the implied fact: Rompus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-401_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Every dumpus is not transparent. Jompuses are small. Each jompus is an impus. Every impus is not wooden. Each impus is a rompus. Rompuses are transparent. Rompuses are yumpuses. Yumpuses are amenable. Each yumpus is a zumpus. Zumpuses are not bright. Zumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Transparent($x, False)\nrule2: Jompus($x, True) → Small($x, True)\nrule3: Jompus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Wooden($x, False)\nrule5: Impus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Transparent($x, True)\nrule7: Rompus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Amenable($x, True)\nrule9: Yumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Bright($x, False)\nrule11: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Jompus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Wooden($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Amenable($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nRompus('Max', True)\nYumpus('Max', True)\nZumpus('Max', True)\nSmall('Max', True)\nWooden('Max', False)\nTransparent('Max', True)\nAmenable('Max', True)\nBright('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Max', False)\nAccording to the implied fact: Amenable('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-374_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Every yumpus is not small. Every yumpus is a tumpus. Each tumpus is not luminous. Each tumpus is a dumpus. Dumpuses are cold. Every dumpus is a numpus. Numpuses are amenable. Numpuses are impuses. Impuses are nervous. Impuses are jompuses. Every jompus is transparent. Each jompus is a vumpus. Vumpuses are sweet. Each vumpus is a zumpus. Rompuses are not transparent. Each zumpus is earthy. Zumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Small($x, False)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Luminous($x, False)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Cold($x, True)\nrule6: Dumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Amenable($x, True)\nrule8: Numpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Nervous($x, True)\nrule10: Impus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Transparent($x, True)\nrule12: Jompus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Sweet($x, True)\nrule14: Vumpus($x, True) → Zumpus($x, True)\nrule15: Rompus($x, True) → Transparent($x, False)\nrule16: Zumpus($x, True) → Earthy($x, True)\nrule17: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Numpus($x, True) → Amenable($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Nervous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Sweet($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sweet('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nJompus('Sally', True)\nVumpus('Sally', True)\nZumpus('Sally', True)\nAmenable('Sally', True)\nNervous('Sally', True)\nTransparent('Sally', True)\nSweet('Sally', True)\nEarthy('Sally', True)\nWumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', True)\nAccording to the implied fact: Impus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-274_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Each vumpus is not large. Vumpuses are impuses. Every impus is hot. Every impus is a numpus. Every numpus is not bright. Yumpuses are nervous. Every numpus is a rompus. Each rompus is not wooden. Every rompus is a jompus. Jompuses are not nervous. Each jompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Large($x, False)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Hot($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Bright($x, False)\nrule6: Yumpus($x, True) → Nervous($x, True)\nrule7: Numpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Wooden($x, False)\nrule9: Rompus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Nervous($x, False)\nrule11: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Wooden($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Nervous($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Stella', True)\nRompus('Stella', True)\nJompus('Stella', True)\nHot('Stella', True)\nBright('Stella', False)\nWooden('Stella', False)\nNervous('Stella', False)\nTumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Stella', True)\nAccording to the implied fact: Bright('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-327_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Wumpuses are temperate. Rompuses are not bright. Every rompus is a vumpus. Each vumpus is not opaque. Each vumpus is a dumpus. Each dumpus is not temperate. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Temperate($x, True)\nrule2: Rompus($x, True) → Bright($x, False)\nrule3: Rompus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Opaque($x, False)\nrule5: Vumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Temperate($x, False)\nrule7: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Opaque($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Temperate($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nDumpus('Stella', True)\nOpaque('Stella', False)\nTemperate('Stella', False)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Stella', False)\nAccording to the known fact: Vumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-47_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Every impus is opaque. Impuses are yumpuses. Each yumpus is mean. Yumpuses are zumpuses. Each zumpus is happy. Every zumpus is a wumpus. Every wumpus is liquid. Every wumpus is a vumpus. Vumpuses are orange. Vumpuses are numpuses. Numpuses are bitter. Numpuses are tumpuses. Each tumpus is floral. Each tumpus is a rompus. Each jompus is not liquid. Every rompus is small. Rompuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMean($x, bool) ::: Is x mean?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Opaque($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Mean($x, True)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Happy($x, True)\nrule6: Zumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Liquid($x, True)\nrule8: Wumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Orange($x, True)\nrule10: Vumpus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Bitter($x, True)\nrule12: Numpus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Floral($x, True)\nrule14: Tumpus($x, True) → Rompus($x, True)\nrule15: Jompus($x, True) → Liquid($x, False)\nrule16: Rompus($x, True) → Small($x, True)\nrule17: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Mean($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Liquid('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Orange($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Orange('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Bitter($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Rompus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nZumpus('Wren', True)\nWumpus('Wren', True)\nVumpus('Wren', True)\nNumpus('Wren', True)\nTumpus('Wren', True)\nRompus('Wren', True)\nOpaque('Wren', True)\nMean('Wren', True)\nHappy('Wren', True)\nLiquid('Wren', True)\nOrange('Wren', True)\nBitter('Wren', True)\nFloral('Wren', True)\nSmall('Wren', True)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Wren', True)\nAccording to the implied fact: Mean('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-86_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a vumpus. Every dumpus is not opaque. Every dumpus is a wumpus. Wumpuses are temperate. Wumpuses are vumpuses. Vumpuses are sweet. Vumpuses are tumpuses. Tumpuses are not large. Each numpus is large. Every tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, False)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Temperate($x, True)\nrule4: Wumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Sweet($x, True)\nrule6: Vumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Large($x, False)\nrule8: Numpus($x, True) → Large($x, True)\nrule9: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Sweet($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Max', True)\nSweet('Max', True)\nLarge('Max', False)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', False)\nAccording to the implied fact: Impus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-51_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Each yumpus is small. Yumpuses are numpuses. Zumpuses are dull. Numpuses are wooden. Numpuses are rompuses. Rompuses are cold. Each rompus is a wumpus. Wumpuses are bitter. Wumpuses are dumpuses. Dumpuses are not dull. Each dumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Small($x, True)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Zumpus($x, True) → Dull($x, True)\nrule4: Numpus($x, True) → Wooden($x, True)\nrule5: Numpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Cold($x, True)\nrule7: Rompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Bitter($x, True)\nrule9: Wumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Dull($x, False)\nrule11: Dumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Wooden($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Bitter($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nWumpus('Alex', True)\nDumpus('Alex', True)\nWooden('Alex', True)\nCold('Alex', True)\nBitter('Alex', True)\nDull('Alex', False)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Alex', True)\nAccording to the implied fact: Vumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-350_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Each zumpus is earthy. Zumpuses are wumpuses. Every wumpus is not spicy. Each wumpus is a rompus. Dumpuses are not liquid. Every rompus is cold. Rompuses are tumpuses. Tumpuses are opaque. Each tumpus is a numpus. Numpuses are liquid. Every numpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Earthy($x, True)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Spicy($x, False)\nrule4: Wumpus($x, True) → Rompus($x, True)\nrule5: Dumpus($x, True) → Liquid($x, False)\nrule6: Rompus($x, True) → Cold($x, True)\nrule7: Rompus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Opaque($x, True)\nrule9: Tumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Liquid($x, True)\nrule11: Numpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Rompus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Liquid('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nNumpus('Sam', True)\nCold('Sam', True)\nOpaque('Sam', True)\nLiquid('Sam', True)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sam', False)\nAccording to the implied fact: Vumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-36_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a vumpus. Wumpuses are kind. Every numpus is not sweet. Every numpus is a zumpus. Zumpuses are happy. Zumpuses are rompuses. Rompuses are not luminous. Rompuses are impuses. Impuses are not hot. Impuses are dumpuses. Every dumpus is not brown. Dumpuses are vumpuses. Every vumpus is bright. Vumpuses are tumpuses. Every tumpus is earthy. Every tumpus is a jompus. Every jompus is not kind. Each jompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nVumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Kind($x, True)\nrule2: Numpus($x, True) → Sweet($x, False)\nrule3: Numpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Happy($x, True)\nrule5: Zumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Luminous($x, False)\nrule7: Rompus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Hot($x, False)\nrule9: Impus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Brown($x, False)\nrule11: Dumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Bright($x, True)\nrule13: Vumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Earthy($x, True)\nrule15: Tumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Kind($x, False)\nrule17: Jompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Kind($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Max', True)\nJompus('Max', True)\nBright('Max', True)\nEarthy('Max', True)\nKind('Max', False)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Max', True)\nAccording to the implied fact: Bright('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-70_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Numpuses are transparent. Dumpuses are sour. Dumpuses are yumpuses. Each yumpus is not transparent. Yumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Transparent($x, True)\nrule2: Dumpus($x, True) → Sour($x, True)\nrule3: Dumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Transparent($x, False)\nrule5: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Dumpus($x, True) → Sour($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Transparent($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nSour('Wren', True)\nTransparent('Wren', False)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Wren', False)\nAccording to the implied fact: Vumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-139_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Every vumpus is not shy. Every vumpus is a numpus. Numpuses are temperate. Every numpus is a rompus. Each rompus is opaque. Each rompus is a dumpus. Dumpuses are not fruity. Dumpuses are yumpuses. Each yumpus is not small. Yumpuses are jompuses. Jompuses are not spicy. Jompuses are impuses. Each impus is red. Zumpuses are angry. Impuses are wumpuses. Each wumpus is not angry. Wumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAngry($x, bool) ::: Is x angry?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Shy($x, False)\nrule2: Vumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Temperate($x, True)\nrule4: Numpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Opaque($x, True)\nrule6: Rompus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Fruity($x, False)\nrule8: Dumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Small($x, False)\nrule10: Yumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Spicy($x, False)\nrule12: Jompus($x, True) → Impus($x, True)\nrule13: Impus($x, True) → Red($x, True)\nrule14: Zumpus($x, True) → Angry($x, True)\nrule15: Impus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Angry($x, False)\nrule17: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Yumpus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Spicy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Spicy('Polly', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Red($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Angry($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Angry('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Polly', True)\nImpus('Polly', True)\nWumpus('Polly', True)\nSmall('Polly', False)\nSpicy('Polly', False)\nRed('Polly', True)\nAngry('Polly', False)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Polly', False)\nAccording to the implied fact: Spicy('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-264_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Every tumpus is transparent. Each tumpus is a jompus. Jompuses are large. Jompuses are impuses. Each impus is floral. Every impus is a zumpus. Each zumpus is spicy. Zumpuses are vumpuses. Vumpuses are not cold. Each vumpus is a rompus. Each numpus is cold.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Transparent($x, True)\nrule2: Tumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Large($x, True)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Floral($x, True)\nrule6: Impus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Spicy($x, True)\nrule8: Zumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Cold($x, False)\nrule10: Vumpus($x, True) → Rompus($x, True)\nrule11: Numpus($x, True) → Cold($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Cold($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nZumpus('Max', True)\nVumpus('Max', True)\nLarge('Max', True)\nFloral('Max', True)\nSpicy('Max', True)\nCold('Max', False)\nRompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Max', True)\nAccording to the implied fact: Large('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-209_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a tumpus. Numpuses are not red. Numpuses are tumpuses. Every zumpus is floral. Every tumpus is temperate. Tumpuses are vumpuses. Vumpuses are sour. Each vumpus is a dumpus. Each dumpus is not bright. Each dumpus is a yumpus. Yumpuses are wooden. Yumpuses are rompuses. Each rompus is not floral. Rompuses are wumpuses. Wumpuses are not small. Each wumpus is an impus. Each impus is opaque. Every impus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Red($x, False)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Zumpus($x, True) → Floral($x, True)\nrule4: Tumpus($x, True) → Temperate($x, True)\nrule5: Tumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Sour($x, True)\nrule7: Vumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Bright($x, False)\nrule9: Dumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Wooden($x, True)\nrule11: Yumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Floral($x, False)\nrule13: Rompus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Small($x, False)\nrule15: Wumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Opaque($x, True)\nrule17: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Sour($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Floral($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nDumpus('Wren', True)\nYumpus('Wren', True)\nRompus('Wren', True)\nWumpus('Wren', True)\nImpus('Wren', True)\nTemperate('Wren', True)\nSour('Wren', True)\nBright('Wren', False)\nWooden('Wren', True)\nFloral('Wren', False)\nSmall('Wren', False)\nOpaque('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Wren', True)\nAccording to the implied fact: Yumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-111_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Each jompus is not opaque. Jompuses are yumpuses. Yumpuses are not small. Yumpuses are rompuses. Every rompus is hot. Rompuses are wumpuses. Wumpuses are bright. Each wumpus is a vumpus. Every vumpus is not wooden. Each vumpus is a zumpus. Zumpuses are not brown. Zumpuses are impuses. Each impus is amenable. Impuses are numpuses. Numpuses are floral. Each numpus is a dumpus. Every tumpus is not amenable.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Opaque($x, False)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Small($x, False)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Hot($x, True)\nrule6: Rompus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Bright($x, True)\nrule8: Wumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Wooden($x, False)\nrule10: Vumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Brown($x, False)\nrule12: Zumpus($x, True) → Impus($x, True)\nrule13: Impus($x, True) → Amenable($x, True)\nrule14: Impus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Floral($x, True)\nrule16: Numpus($x, True) → Dumpus($x, True)\nrule17: Tumpus($x, True) → Amenable($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Vumpus($x, True) → Wooden($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Brown($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Amenable($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Amenable('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nImpus('Fae', True)\nNumpus('Fae', True)\nWooden('Fae', False)\nBrown('Fae', False)\nAmenable('Fae', True)\nFloral('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', False)\nAccording to the known fact: Vumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-60_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Every rompus is luminous. Every rompus is a tumpus. Tumpuses are transparent. Zumpuses are not spicy. Tumpuses are numpuses. Each numpus is shy. Every numpus is a wumpus. Wumpuses are small. Wumpuses are vumpuses. Every vumpus is fruity. Every vumpus is a yumpus. Yumpuses are bright. Yumpuses are dumpuses. Dumpuses are spicy. Each dumpus is an impus. Each impus is angry. Impuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Luminous($x, True)\nrule2: Rompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Transparent($x, True)\nrule4: Zumpus($x, True) → Spicy($x, False)\nrule5: Tumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Shy($x, True)\nrule7: Numpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Small($x, True)\nrule9: Wumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Fruity($x, True)\nrule11: Vumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Bright($x, True)\nrule13: Yumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Spicy($x, True)\nrule15: Dumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Angry($x, True)\nrule17: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Angry($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nDumpus('Wren', True)\nImpus('Wren', True)\nFruity('Wren', True)\nBright('Wren', True)\nSpicy('Wren', True)\nAngry('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is angry.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAngry('Wren', True)\nAccording to the implied fact: Angry('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-86_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Rompuses are not sweet. Each wumpus is liquid. Rompuses are yumpuses. Yumpuses are fruity. Each yumpus is a zumpus. Every zumpus is not red. Every zumpus is a vumpus. Each vumpus is large. Each vumpus is an impus. Each impus is happy. Every impus is a numpus. Every numpus is not liquid. Numpuses are tumpuses. Every tumpus is angry. Tumpuses are jompuses. Jompuses are cold. Each jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Sweet($x, False)\nrule2: Wumpus($x, True) → Liquid($x, True)\nrule3: Rompus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Fruity($x, True)\nrule5: Yumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Red($x, False)\nrule7: Zumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Large($x, True)\nrule9: Vumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Happy($x, True)\nrule11: Impus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Liquid($x, False)\nrule13: Numpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Angry($x, True)\nrule15: Tumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Cold($x, True)\nrule17: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Yumpus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Red($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Liquid($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Liquid('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Angry($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nVumpus('Wren', True)\nImpus('Wren', True)\nNumpus('Wren', True)\nTumpus('Wren', True)\nJompus('Wren', True)\nFruity('Wren', True)\nRed('Wren', False)\nLarge('Wren', True)\nHappy('Wren', True)\nLiquid('Wren', False)\nAngry('Wren', True)\nCold('Wren', True)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Wren', True)\nAccording to the implied fact: Zumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-497_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a tumpus. Each zumpus is not hot. Each zumpus is a jompus. Jompuses are not red. Jompuses are impuses. Impuses are not large. Impuses are vumpuses. Vumpuses are opaque. Yumpuses are mean. Each vumpus is a tumpus. Every tumpus is fruity. Each tumpus is a wumpus. Wumpuses are not mean. Wumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMean($x, bool) ::: Is x mean?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Hot($x, False)\nrule2: Zumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Red($x, False)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Large($x, False)\nrule6: Impus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Opaque($x, True)\nrule8: Yumpus($x, True) → Mean($x, True)\nrule9: Vumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Fruity($x, True)\nrule11: Tumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Mean($x, False)\nrule13: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Mean($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nFruity('Wren', True)\nMean('Wren', False)\nRompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', True)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-427_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Tumpuses are floral. Every tumpus is a yumpus. Every yumpus is hot. Every yumpus is a rompus. Each rompus is mean. Rompuses are vumpuses. Vumpuses are shy. Every wumpus is not shy. Vumpuses are impuses. Impuses are large. Each impus is a numpus. Numpuses are not metallic. Every numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Floral($x, True)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Hot($x, True)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Mean($x, True)\nrule6: Rompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Shy($x, True)\nrule8: Wumpus($x, True) → Shy($x, False)\nrule9: Vumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Large($x, True)\nrule11: Impus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Metallic($x, False)\nrule13: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Mean($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Mean('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Shy('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Metallic($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nVumpus('Sam', True)\nImpus('Sam', True)\nNumpus('Sam', True)\nHot('Sam', True)\nMean('Sam', True)\nShy('Sam', True)\nLarge('Sam', True)\nMetallic('Sam', False)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', False)\nAccording to the implied fact: Rompus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-84_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a rompus. Rompuses are aggressive. Rompuses are numpuses. Numpuses are opaque. Each numpus is a vumpus. Vumpuses are shy. Vumpuses are impuses. Every impus is not liquid. Impuses are dumpuses. Every dumpus is not earthy. Every wumpus is not shy. Dumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Aggressive($x, True)\nrule2: Rompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Opaque($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Shy($x, True)\nrule6: Vumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Liquid($x, False)\nrule8: Impus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Earthy($x, False)\nrule10: Wumpus($x, True) → Shy($x, False)\nrule11: Dumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Aggressive($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Aggressive('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Liquid($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Earthy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Polly', True)\nVumpus('Polly', True)\nImpus('Polly', True)\nDumpus('Polly', True)\nAggressive('Polly', True)\nOpaque('Polly', True)\nShy('Polly', True)\nLiquid('Polly', False)\nEarthy('Polly', False)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Polly', True)\nAccording to the implied fact: Liquid('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-207_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Dumpuses are red. Dumpuses are rompuses. Rompuses are not temperate. Each rompus is a numpus. Every numpus is dull. Numpuses are tumpuses. Each tumpus is amenable. Every tumpus is a vumpus. Every vumpus is not nervous. Jompuses are nervous. Vumpuses are zumpuses. Zumpuses are opaque. Every zumpus is a yumpus. Each yumpus is earthy. Yumpuses are wumpuses. Wumpuses are not wooden. Wumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Red($x, True)\nrule2: Dumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Temperate($x, False)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Dull($x, True)\nrule6: Numpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Amenable($x, True)\nrule8: Tumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Nervous($x, False)\nrule10: Jompus($x, True) → Nervous($x, True)\nrule11: Vumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Opaque($x, True)\nrule13: Zumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Earthy($x, True)\nrule15: Yumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Wooden($x, False)\nrule17: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Temperate($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Amenable($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Nervous($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nTumpus('Max', True)\nVumpus('Max', True)\nZumpus('Max', True)\nYumpus('Max', True)\nWumpus('Max', True)\nTemperate('Max', False)\nDull('Max', True)\nAmenable('Max', True)\nNervous('Max', False)\nOpaque('Max', True)\nEarthy('Max', True)\nWooden('Max', False)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Max', True)\nAccording to the implied fact: Dull('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-39_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Every yumpus is not orange. Yumpuses are wumpuses. Each wumpus is cold. Wumpuses are impuses. Impuses are not metallic. Each impus is a jompus. Jompuses are dull. Jompuses are tumpuses. Tumpuses are sour. Tumpuses are vumpuses. Every vumpus is large. Vumpuses are dumpuses. Dumpuses are mean. Each zumpus is not mean. Dumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMean($x, bool) ::: Is x mean?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Orange($x, False)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Cold($x, True)\nrule4: Wumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Metallic($x, False)\nrule6: Impus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Dull($x, True)\nrule8: Jompus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Sour($x, True)\nrule10: Tumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Large($x, True)\nrule12: Vumpus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Mean($x, True)\nrule14: Zumpus($x, True) → Mean($x, False)\nrule15: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Metallic($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Metallic('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Mean($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Mean('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nTumpus('Fae', True)\nVumpus('Fae', True)\nDumpus('Fae', True)\nMetallic('Fae', False)\nDull('Fae', True)\nSour('Fae', True)\nLarge('Fae', True)\nMean('Fae', True)\nNumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', False)\nAccording to the implied fact: Vumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-486_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Every tumpus is not bright. Zumpuses are sweet. Every zumpus is a jompus. Each jompus is amenable. Jompuses are numpuses. Every numpus is not nervous. Numpuses are dumpuses. Dumpuses are luminous. Each dumpus is an impus. Impuses are not fruity. Every impus is a wumpus. Wumpuses are bright. Every wumpus is a vumpus. Every vumpus is cold. Each vumpus is a yumpus. Yumpuses are blue. Each yumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bright($x, False)\nrule2: Zumpus($x, True) → Sweet($x, True)\nrule3: Zumpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Amenable($x, True)\nrule5: Jompus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Nervous($x, False)\nrule7: Numpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Luminous($x, True)\nrule9: Dumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Fruity($x, False)\nrule11: Impus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Bright($x, True)\nrule13: Wumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Cold($x, True)\nrule15: Vumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Blue($x, True)\nrule17: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Numpus($x, True) → Nervous($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Luminous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Fruity($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Blue($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Stella', True)\nImpus('Stella', True)\nWumpus('Stella', True)\nVumpus('Stella', True)\nYumpus('Stella', True)\nNervous('Stella', False)\nLuminous('Stella', True)\nFruity('Stella', False)\nBright('Stella', True)\nCold('Stella', True)\nBlue('Stella', True)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Stella', False)\nAccording to the implied fact: Bright('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-175_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Every wumpus is amenable. Each wumpus is an impus. Each impus is orange. Every impus is a jompus. Each jompus is happy. Each jompus is a zumpus. Zumpuses are liquid. Zumpuses are tumpuses. Every tumpus is not fruity. Every tumpus is a dumpus. Every dumpus is not transparent. Each dumpus is a yumpus. Each yumpus is not bright. Yumpuses are rompuses. Vumpuses are fruity. Every rompus is bitter. Each rompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Amenable($x, True)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Orange($x, True)\nrule4: Impus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Happy($x, True)\nrule6: Jompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Liquid($x, True)\nrule8: Zumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Fruity($x, False)\nrule10: Tumpus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Transparent($x, False)\nrule12: Dumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Bright($x, False)\nrule14: Yumpus($x, True) → Rompus($x, True)\nrule15: Vumpus($x, True) → Fruity($x, True)\nrule16: Rompus($x, True) → Bitter($x, True)\nrule17: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Amenable($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Orange($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Orange('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Fruity($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Transparent($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Rompus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nJompus('Sally', True)\nZumpus('Sally', True)\nTumpus('Sally', True)\nDumpus('Sally', True)\nYumpus('Sally', True)\nRompus('Sally', True)\nAmenable('Sally', True)\nOrange('Sally', True)\nHappy('Sally', True)\nLiquid('Sally', True)\nFruity('Sally', False)\nTransparent('Sally', False)\nBright('Sally', False)\nBitter('Sally', True)\nNumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Sally', True)\nAccording to the implied fact: Bright('Sally', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-181_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Each jompus is fruity. Jompuses are numpuses. Each dumpus is temperate. Each numpus is not temperate. Numpuses are zumpuses. Each zumpus is not bright. Zumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Fruity($x, True)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Dumpus($x, True) → Temperate($x, True)\nrule4: Numpus($x, True) → Temperate($x, False)\nrule5: Numpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Bright($x, False)\nrule7: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Temperate($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nTemperate('Alex', False)\nBright('Alex', False)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Alex', False)\nAccording to the implied fact: Temperate('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-24_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Each yumpus is spicy. Each yumpus is a dumpus. Every dumpus is cold. Dumpuses are rompuses. Each rompus is bright. Each rompus is a tumpus. Tumpuses are not opaque. Every tumpus is a zumpus. Each zumpus is not mean. Each zumpus is an impus. Impuses are happy. Every impus is a wumpus. Each wumpus is not wooden. Jompuses are opaque. Every wumpus is a vumpus. Vumpuses are not blue. Each vumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Spicy($x, True)\nrule2: Yumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Cold($x, True)\nrule4: Dumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Bright($x, True)\nrule6: Rompus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Opaque($x, False)\nrule8: Tumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Mean($x, False)\nrule10: Zumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Happy($x, True)\nrule12: Impus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Wooden($x, False)\nrule14: Jompus($x, True) → Opaque($x, True)\nrule15: Wumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Blue($x, False)\nrule17: Vumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Mean($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Mean('Fae', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Happy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Blue($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nZumpus('Fae', True)\nImpus('Fae', True)\nWumpus('Fae', True)\nVumpus('Fae', True)\nBright('Fae', True)\nOpaque('Fae', False)\nMean('Fae', False)\nHappy('Fae', True)\nWooden('Fae', False)\nBlue('Fae', False)\nNumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', True)\nAccording to the implied fact: Vumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-38_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Wumpuses are not sour. Wumpuses are zumpuses. Zumpuses are happy. Zumpuses are yumpuses. Each yumpus is red. Yumpuses are jompuses. Every jompus is angry. Every jompus is a tumpus. Every tumpus is metallic. Tumpuses are vumpuses. Every vumpus is not opaque. Each vumpus is a rompus. Rompuses are hot. Rompuses are dumpuses. Dumpuses are not small. Every dumpus is an impus. Numpuses are not metallic.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Sour($x, False)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Happy($x, True)\nrule4: Zumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Red($x, True)\nrule6: Yumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Angry($x, True)\nrule8: Jompus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Metallic($x, True)\nrule10: Tumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Opaque($x, False)\nrule12: Vumpus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Hot($x, True)\nrule14: Rompus($x, True) → Dumpus($x, True)\nrule15: Dumpus($x, True) → Small($x, False)\nrule16: Dumpus($x, True) → Impus($x, True)\nrule17: Numpus($x, True) → Metallic($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Jompus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Metallic($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Metallic('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Hot($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Small($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nVumpus('Fae', True)\nRompus('Fae', True)\nDumpus('Fae', True)\nAngry('Fae', True)\nMetallic('Fae', True)\nOpaque('Fae', False)\nHot('Fae', True)\nSmall('Fae', False)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Fae', True)\nAccording to the implied fact: Opaque('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-245_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is an impus. Yumpuses are sweet. Each yumpus is a rompus. Rompuses are kind. Every rompus is an impus. Impuses are not temperate. Every impus is a numpus. Each numpus is not shy. Numpuses are tumpuses. Each tumpus is not luminous. Each tumpus is a vumpus. Each vumpus is not large. Every vumpus is a wumpus. Wumpuses are floral. Each wumpus is a jompus. Every jompus is not orange. Each zumpus is shy. Every jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Sweet($x, True)\nrule2: Yumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Kind($x, True)\nrule4: Rompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Temperate($x, False)\nrule6: Impus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Shy($x, False)\nrule8: Numpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Luminous($x, False)\nrule10: Tumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Large($x, False)\nrule12: Vumpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Floral($x, True)\nrule14: Wumpus($x, True) → Jompus($x, True)\nrule15: Jompus($x, True) → Orange($x, False)\nrule16: Zumpus($x, True) → Shy($x, True)\nrule17: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Temperate($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Shy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Luminous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Orange($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nTumpus('Rex', True)\nVumpus('Rex', True)\nWumpus('Rex', True)\nJompus('Rex', True)\nTemperate('Rex', False)\nShy('Rex', False)\nLuminous('Rex', False)\nLarge('Rex', False)\nFloral('Rex', True)\nOrange('Rex', False)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Rex', True)\nAccording to the implied fact: Vumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-50_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Dumpuses are transparent. Tumpuses are small. Tumpuses are numpuses. Numpuses are luminous. Numpuses are yumpuses. Yumpuses are sour. Every yumpus is a zumpus. Zumpuses are not transparent. Every zumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Transparent($x, True)\nrule2: Tumpus($x, True) → Small($x, True)\nrule3: Tumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Luminous($x, True)\nrule5: Numpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Sour($x, True)\nrule7: Yumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Transparent($x, False)\nrule9: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Yumpus($x, True) → Sour($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nSour('Rex', True)\nTransparent('Rex', False)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Rex', False)\nAccording to the known fact: Yumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-400_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Every jompus is not amenable. Jompuses are zumpuses. Each zumpus is liquid. Each zumpus is a rompus. Each wumpus is not small. Every rompus is not nervous. Rompuses are dumpuses. Dumpuses are small. Dumpuses are vumpuses. Each vumpus is spicy. Vumpuses are numpuses. Each numpus is not earthy. Numpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Amenable($x, False)\nrule2: Jompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Liquid($x, True)\nrule4: Zumpus($x, True) → Rompus($x, True)\nrule5: Wumpus($x, True) → Small($x, False)\nrule6: Rompus($x, True) → Nervous($x, False)\nrule7: Rompus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Small($x, True)\nrule9: Dumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Spicy($x, True)\nrule11: Vumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Earthy($x, False)\nrule13: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Rompus($x, True) → Nervous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nDumpus('Sally', True)\nVumpus('Sally', True)\nNumpus('Sally', True)\nLiquid('Sally', True)\nNervous('Sally', False)\nSmall('Sally', True)\nSpicy('Sally', True)\nEarthy('Sally', False)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sally', True)\nAccording to the implied fact: Rompus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-448_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Each wumpus is not metallic. Wumpuses are rompuses. Rompuses are fruity. Jompuses are metallic. Rompuses are numpuses. Numpuses are sour. Numpuses are tumpuses. Tumpuses are temperate. Each tumpus is a yumpus. Yumpuses are transparent. Yumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Metallic($x, False)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Fruity($x, True)\nrule4: Jompus($x, True) → Metallic($x, True)\nrule5: Rompus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Sour($x, True)\nrule7: Numpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Temperate($x, True)\nrule9: Tumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Transparent($x, True)\nrule11: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Metallic($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Sour($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nNumpus('Alex', True)\nTumpus('Alex', True)\nYumpus('Alex', True)\nMetallic('Alex', False)\nFruity('Alex', True)\nSour('Alex', True)\nTemperate('Alex', True)\nTransparent('Alex', True)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Alex', False)\nAccording to the implied fact: Metallic('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-469_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Every wumpus is cold. Every wumpus is a dumpus. Jompuses are not transparent. Each dumpus is nervous. Every dumpus is a tumpus. Each tumpus is earthy. Tumpuses are zumpuses. Zumpuses are transparent. Zumpuses are rompuses. Each rompus is bright. Rompuses are yumpuses. Yumpuses are sweet. Yumpuses are vumpuses. Each vumpus is not luminous. Vumpuses are impuses. Each impus is angry. Impuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Cold($x, True)\nrule2: Wumpus($x, True) → Dumpus($x, True)\nrule3: Jompus($x, True) → Transparent($x, False)\nrule4: Dumpus($x, True) → Nervous($x, True)\nrule5: Dumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Earthy($x, True)\nrule7: Tumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Transparent($x, True)\nrule9: Zumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Bright($x, True)\nrule11: Rompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Sweet($x, True)\nrule13: Yumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Luminous($x, False)\nrule15: Vumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Angry($x, True)\nrule17: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Sweet($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Luminous($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Angry($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Max', True)\nTumpus('Max', True)\nZumpus('Max', True)\nRompus('Max', True)\nYumpus('Max', True)\nVumpus('Max', True)\nImpus('Max', True)\nCold('Max', True)\nNervous('Max', True)\nEarthy('Max', True)\nTransparent('Max', True)\nBright('Max', True)\nSweet('Max', True)\nLuminous('Max', False)\nAngry('Max', True)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Max', False)\nAccording to the implied fact: Earthy('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-479_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a rompus. Impuses are not large. Rompuses are transparent. Every rompus is a numpus. Numpuses are not feisty. Numpuses are wumpuses. Every wumpus is large. Wumpuses are vumpuses. Each vumpus is metallic. Vumpuses are zumpuses. Zumpuses are bitter. Zumpuses are tumpuses. Every tumpus is not cold. Each tumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Large($x, False)\nrule2: Rompus($x, True) → Transparent($x, True)\nrule3: Rompus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Feisty($x, False)\nrule5: Numpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Large($x, True)\nrule7: Wumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Metallic($x, True)\nrule9: Vumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Bitter($x, True)\nrule11: Zumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Cold($x, False)\nrule13: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Feisty($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Cold($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nWumpus('Rex', True)\nVumpus('Rex', True)\nZumpus('Rex', True)\nTumpus('Rex', True)\nTransparent('Rex', True)\nFeisty('Rex', False)\nLarge('Rex', True)\nMetallic('Rex', True)\nBitter('Rex', True)\nCold('Rex', False)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Rex', True)\nAccording to the known fact: Rompus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-479_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Vumpuses are small. Every jompus is not aggressive. Every vumpus is a wumpus. Every wumpus is not dull. Every wumpus is a dumpus. Each dumpus is orange. Every dumpus is a tumpus. Each tumpus is aggressive. Each tumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Small($x, True)\nrule2: Jompus($x, True) → Aggressive($x, False)\nrule3: Vumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Dull($x, False)\nrule5: Wumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Orange($x, True)\nrule7: Dumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Aggressive($x, True)\nrule9: Tumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Aggressive($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Aggressive('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Stella', True)\nTumpus('Stella', True)\nDull('Stella', False)\nOrange('Stella', True)\nAggressive('Stella', True)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Stella', True)\nAccording to the implied fact: Numpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-397_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Each tumpus is transparent. Tumpuses are yumpuses. Yumpuses are not nervous. Yumpuses are dumpuses. Jompuses are nervous. Dumpuses are not large. Dumpuses are impuses. Impuses are hot. Each impus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Transparent($x, True)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Nervous($x, False)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Jompus($x, True) → Nervous($x, True)\nrule6: Dumpus($x, True) → Large($x, False)\nrule7: Dumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Hot($x, True)\nrule9: Impus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Nervous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Nervous('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Dumpus($x, True) → Large($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Hot($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nImpus('Polly', True)\nNervous('Polly', False)\nLarge('Polly', False)\nHot('Polly', True)\nVumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Polly', True)\nAccording to the implied fact: Vumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-381_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Each wumpus is small. Each numpus is spicy. Numpuses are vumpuses. Every vumpus is wooden. Every vumpus is a tumpus. Tumpuses are not brown. Every tumpus is a jompus. Every jompus is bright. Every jompus is a dumpus. Every dumpus is not small. Dumpuses are rompuses. Rompuses are mean. Rompuses are impuses. Impuses are cold. Impuses are zumpuses. Zumpuses are floral. Zumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, True)\nrule2: Numpus($x, True) → Spicy($x, True)\nrule3: Numpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Wooden($x, True)\nrule5: Vumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Brown($x, False)\nrule7: Tumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Bright($x, True)\nrule9: Jompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Small($x, False)\nrule11: Dumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Mean($x, True)\nrule13: Rompus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Cold($x, True)\nrule15: Impus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Floral($x, True)\nrule17: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Numpus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Wooden($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Brown($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Small($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Mean($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Mean('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Alex', True)\nTumpus('Alex', True)\nJompus('Alex', True)\nDumpus('Alex', True)\nRompus('Alex', True)\nImpus('Alex', True)\nZumpus('Alex', True)\nSpicy('Alex', True)\nWooden('Alex', True)\nBrown('Alex', False)\nBright('Alex', True)\nSmall('Alex', False)\nMean('Alex', True)\nCold('Alex', True)\nFloral('Alex', True)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Alex', True)\nAccording to the implied fact: Vumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-110_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Each rompus is dull. Every rompus is an impus. Impuses are brown. Every zumpus is not dull. Impuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Dull($x, True)\nrule2: Rompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Brown($x, True)\nrule4: Zumpus($x, True) → Dull($x, False)\nrule5: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Brown($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Brown('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nDull('Sam', True)\nBrown('Sam', True)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', True)\nAccording to the known fact: Rompus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-155_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Each dumpus is bright. Each dumpus is a numpus. Numpuses are not small. Every numpus is an impus. Impuses are not temperate. Each impus is a vumpus. Vumpuses are not red. Every vumpus is a tumpus. Tumpuses are nervous. Tumpuses are zumpuses. Zumpuses are transparent. Zumpuses are jompuses. Jompuses are sweet. Every jompus is a rompus. Every rompus is not angry. Rompuses are wumpuses. Each yumpus is red.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAngry($x, bool) ::: Is x angry?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Bright($x, True)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Small($x, False)\nrule4: Numpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Temperate($x, False)\nrule6: Impus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Red($x, False)\nrule8: Vumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Nervous($x, True)\nrule10: Tumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Transparent($x, True)\nrule12: Zumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Sweet($x, True)\nrule14: Jompus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Angry($x, False)\nrule16: Rompus($x, True) → Wumpus($x, True)\nrule17: Yumpus($x, True) → Red($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Temperate($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Red($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Red('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Sweet($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Angry($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nVumpus('Max', True)\nTumpus('Max', True)\nZumpus('Max', True)\nJompus('Max', True)\nRompus('Max', True)\nSmall('Max', False)\nTemperate('Max', False)\nRed('Max', False)\nNervous('Max', True)\nTransparent('Max', True)\nSweet('Max', True)\nAngry('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Max', True)\nAccording to the implied fact: Nervous('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-155_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Dumpuses are brown. Every tumpus is floral. Tumpuses are vumpuses. Vumpuses are not brown. Vumpuses are wumpuses. Wumpuses are hot. Wumpuses are rompuses. Rompuses are transparent. Rompuses are jompuses. Jompuses are not wooden. Every jompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Brown($x, True)\nrule2: Tumpus($x, True) → Floral($x, True)\nrule3: Tumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Brown($x, False)\nrule5: Vumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Hot($x, True)\nrule7: Wumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Transparent($x, True)\nrule9: Rompus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Wooden($x, False)\nrule11: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Tumpus($x, True) → Floral($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Floral('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Brown($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Hot($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Wooden($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nWumpus('Polly', True)\nRompus('Polly', True)\nJompus('Polly', True)\nFloral('Polly', True)\nBrown('Polly', False)\nHot('Polly', True)\nTransparent('Polly', True)\nWooden('Polly', False)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Polly', False)\nAccording to the implied fact: Wooden('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-379_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Jompuses are bright. Jompuses are impuses. Every yumpus is not transparent. Impuses are metallic. Impuses are dumpuses. Dumpuses are temperate. Dumpuses are rompuses. Rompuses are transparent. Rompuses are vumpuses. Every vumpus is nervous. Each vumpus is a tumpus. Tumpuses are aggressive. Tumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bright($x, True)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Yumpus($x, True) → Transparent($x, False)\nrule4: Impus($x, True) → Metallic($x, True)\nrule5: Impus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Temperate($x, True)\nrule7: Dumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Transparent($x, True)\nrule9: Rompus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Nervous($x, True)\nrule11: Vumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Aggressive($x, True)\nrule13: Tumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Impus($x, True) → Metallic($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Aggressive('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nRompus('Sam', True)\nVumpus('Sam', True)\nTumpus('Sam', True)\nMetallic('Sam', True)\nTemperate('Sam', True)\nTransparent('Sam', True)\nNervous('Sam', True)\nAggressive('Sam', True)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Sam', True)\nAccording to the implied fact: Temperate('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-245_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Every jompus is not luminous. Each jompus is a yumpus. Each yumpus is not small. Each yumpus is a rompus. Rompuses are sour. Rompuses are zumpuses. Each tumpus is not mean. Zumpuses are mean. Zumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Luminous($x, False)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Small($x, False)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Sour($x, True)\nrule6: Rompus($x, True) → Zumpus($x, True)\nrule7: Tumpus($x, True) → Mean($x, False)\nrule8: Zumpus($x, True) → Mean($x, True)\nrule9: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Luminous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Small($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Sour($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Zumpus($x, True) → Mean($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Mean('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Rex', True)\nRompus('Rex', True)\nZumpus('Rex', True)\nLuminous('Rex', False)\nSmall('Rex', False)\nSour('Rex', True)\nMean('Rex', True)\nWumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Rex', False)\nAccording to the implied fact: Small('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-428_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Each vumpus is not dull. Rompuses are floral. Every rompus is a jompus. Jompuses are luminous. Each jompus is a yumpus. Yumpuses are not cold. Each yumpus is a zumpus. Each zumpus is angry. Every zumpus is a tumpus. Tumpuses are sweet. Each tumpus is a dumpus. Dumpuses are dull. Each dumpus is a numpus. Each numpus is orange. Every numpus is a wumpus. Wumpuses are nervous. Every wumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Dull($x, False)\nrule2: Rompus($x, True) → Floral($x, True)\nrule3: Rompus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Luminous($x, True)\nrule5: Jompus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Cold($x, False)\nrule7: Yumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Angry($x, True)\nrule9: Zumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Sweet($x, True)\nrule11: Tumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Dull($x, True)\nrule13: Dumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Orange($x, True)\nrule15: Numpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Nervous($x, True)\nrule17: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Jompus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Cold($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Angry($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Angry('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Sweet($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Sweet('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Nervous('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nZumpus('Polly', True)\nTumpus('Polly', True)\nDumpus('Polly', True)\nNumpus('Polly', True)\nWumpus('Polly', True)\nLuminous('Polly', True)\nCold('Polly', False)\nAngry('Polly', True)\nSweet('Polly', True)\nDull('Polly', True)\nOrange('Polly', True)\nNervous('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Polly', True)\nAccording to the known fact: Jompus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-39_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Each wumpus is large. Every wumpus is a jompus. Each jompus is dull. Every jompus is a vumpus. Each vumpus is metallic. Every vumpus is a dumpus. Dumpuses are transparent. Each dumpus is a yumpus. Each yumpus is not temperate. Zumpuses are temperate. Yumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Large($x, True)\nrule2: Wumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Dull($x, True)\nrule4: Jompus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Metallic($x, True)\nrule6: Vumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Transparent($x, True)\nrule8: Dumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Temperate($x, False)\nrule10: Zumpus($x, True) → Temperate($x, True)\nrule11: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Metallic($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Temperate($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nVumpus('Sally', True)\nDumpus('Sally', True)\nYumpus('Sally', True)\nLarge('Sally', True)\nDull('Sally', True)\nMetallic('Sally', True)\nTransparent('Sally', True)\nTemperate('Sally', False)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sally', True)\nAccording to the implied fact: Dumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-81_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Each wumpus is liquid. Wumpuses are yumpuses. Yumpuses are cold. Each yumpus is a dumpus. Every dumpus is spicy. Every jompus is not small. Dumpuses are numpuses. Numpuses are bright. Numpuses are rompuses. Each rompus is small. Every rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Liquid($x, True)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Cold($x, True)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Spicy($x, True)\nrule6: Jompus($x, True) → Small($x, False)\nrule7: Dumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Bright($x, True)\nrule9: Numpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Small($x, True)\nrule11: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nDumpus('Max', True)\nNumpus('Max', True)\nRompus('Max', True)\nLiquid('Max', True)\nCold('Max', True)\nSpicy('Max', True)\nBright('Max', True)\nSmall('Max', True)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Max', False)\nAccording to the implied fact: Yumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-371_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Each wumpus is not spicy. Each wumpus is a zumpus. Each dumpus is earthy. Each zumpus is hot. Each zumpus is a jompus. Every jompus is not earthy. Every jompus is a yumpus. Each yumpus is kind. Yumpuses are impuses. Every impus is not liquid. Every impus is a numpus. Each numpus is not bright. Each numpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Spicy($x, False)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Dumpus($x, True) → Earthy($x, True)\nrule4: Zumpus($x, True) → Hot($x, True)\nrule5: Zumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Earthy($x, False)\nrule7: Jompus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Kind($x, True)\nrule9: Yumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Liquid($x, False)\nrule11: Impus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Bright($x, False)\nrule13: Numpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Spicy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Kind($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Kind('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Liquid($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Sally', True)\nJompus('Sally', True)\nYumpus('Sally', True)\nImpus('Sally', True)\nNumpus('Sally', True)\nSpicy('Sally', False)\nHot('Sally', True)\nEarthy('Sally', False)\nKind('Sally', True)\nLiquid('Sally', False)\nBright('Sally', False)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Sally', True)\nAccording to the implied fact: Yumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-132_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Each vumpus is hot. Every vumpus is a tumpus. Tumpuses are metallic. Tumpuses are zumpuses. Zumpuses are not bright. Zumpuses are wumpuses. Every wumpus is happy. Each wumpus is a yumpus. Yumpuses are aggressive. Each yumpus is an impus. Impuses are bitter. Every impus is a numpus. Every numpus is transparent. Numpuses are jompuses. Rompuses are not aggressive.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Hot($x, True)\nrule2: Vumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Metallic($x, True)\nrule4: Tumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Bright($x, False)\nrule6: Zumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Happy($x, True)\nrule8: Wumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Aggressive($x, True)\nrule10: Yumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Bitter($x, True)\nrule12: Impus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Transparent($x, True)\nrule14: Numpus($x, True) → Jompus($x, True)\nrule15: Rompus($x, True) → Aggressive($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Hot($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Bitter($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nZumpus('Wren', True)\nWumpus('Wren', True)\nYumpus('Wren', True)\nImpus('Wren', True)\nNumpus('Wren', True)\nHot('Wren', True)\nMetallic('Wren', True)\nBright('Wren', False)\nHappy('Wren', True)\nAggressive('Wren', True)\nBitter('Wren', True)\nTransparent('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Wren', True)\nAccording to the implied fact: Jompus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-188_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Rompuses are opaque. Rompuses are vumpuses. Vumpuses are not small. Every numpus is hot. Every vumpus is an impus. Impuses are angry. Every impus is a jompus. Jompuses are luminous. Every jompus is a dumpus. Every dumpus is not bright. Dumpuses are zumpuses. Every zumpus is not happy. Zumpuses are tumpuses. Every tumpus is not bitter. Every tumpus is a wumpus. Every wumpus is not hot. Wumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Opaque($x, True)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Small($x, False)\nrule4: Numpus($x, True) → Hot($x, True)\nrule5: Vumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Angry($x, True)\nrule7: Impus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Luminous($x, True)\nrule9: Jompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Bright($x, False)\nrule11: Dumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Happy($x, False)\nrule13: Zumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Bitter($x, False)\nrule15: Tumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Hot($x, False)\nrule17: Wumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule16: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nHot('Rex', False)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Rex', False)\nAccording to the implied fact: Yumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-239_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Yumpuses are not temperate. Yumpuses are impuses. Impuses are not transparent. Each impus is a numpus. Every numpus is luminous. Numpuses are zumpuses. Every zumpus is orange. Every zumpus is a dumpus. Rompuses are not angry. Dumpuses are large. Dumpuses are tumpuses. Every tumpus is feisty. Tumpuses are jompuses. Jompuses are angry. Jompuses are vumpuses. Vumpuses are not sweet. Every vumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Temperate($x, False)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Transparent($x, False)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Luminous($x, True)\nrule6: Numpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Orange($x, True)\nrule8: Zumpus($x, True) → Dumpus($x, True)\nrule9: Rompus($x, True) → Angry($x, False)\nrule10: Dumpus($x, True) → Large($x, True)\nrule11: Dumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Feisty($x, True)\nrule13: Tumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Angry($x, True)\nrule15: Jompus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Sweet($x, False)\nrule17: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Dumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Feisty($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Feisty('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Angry($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Angry('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Sweet($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Sweet('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nJompus('Sally', True)\nVumpus('Sally', True)\nLarge('Sally', True)\nFeisty('Sally', True)\nAngry('Sally', True)\nSweet('Sally', False)\nWumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sally', False)\nAccording to the implied fact: Tumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-98_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Impuses are not floral. Jompuses are transparent. Impuses are rompuses. Rompuses are not transparent. Each rompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Floral($x, False)\nrule2: Jompus($x, True) → Transparent($x, True)\nrule3: Impus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Transparent($x, False)\nrule5: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Floral($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Impus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Transparent($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nFloral('Wren', False)\nTransparent('Wren', False)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', True)\nAccording to the known fact: Impus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-457_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Tumpuses are not orange. Each yumpus is not opaque. Every yumpus is a dumpus. Dumpuses are orange. Every dumpus is a jompus. Jompuses are not bright. Every jompus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Orange($x, False)\nrule2: Yumpus($x, True) → Opaque($x, False)\nrule3: Yumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Orange($x, True)\nrule5: Dumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Bright($x, False)\nrule7: Jompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Bright($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nOrange('Rex', True)\nBright('Rex', False)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Rex', False)\nAccording to the known fact: Dumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-407_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Jompuses are not earthy. Jompuses are wumpuses. Wumpuses are large. Each numpus is not large. Every wumpus is a rompus. Every rompus is bright. Rompuses are vumpuses. Each vumpus is shy. Every vumpus is a tumpus. Tumpuses are transparent. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Earthy($x, False)\nrule2: Jompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Large($x, True)\nrule4: Numpus($x, True) → Large($x, False)\nrule5: Wumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Bright($x, True)\nrule7: Rompus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Shy($x, True)\nrule9: Vumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Transparent($x, True)\nrule11: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Earthy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nRompus('Polly', True)\nVumpus('Polly', True)\nTumpus('Polly', True)\nEarthy('Polly', False)\nLarge('Polly', True)\nBright('Polly', True)\nShy('Polly', True)\nTransparent('Polly', True)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Polly', True)\nAccording to the implied fact: Earthy('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-232_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Wumpuses are temperate. Every wumpus is a yumpus. Each yumpus is shy. Each yumpus is a rompus. Jompuses are not luminous. Rompuses are earthy. Rompuses are dumpuses. Dumpuses are luminous. Dumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Temperate($x, True)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Shy($x, True)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Jompus($x, True) → Luminous($x, False)\nrule6: Rompus($x, True) → Earthy($x, True)\nrule7: Rompus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Luminous($x, True)\nrule9: Dumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Rompus($x, True) → Earthy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Luminous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nRompus('Stella', True)\nDumpus('Stella', True)\nTemperate('Stella', True)\nShy('Stella', True)\nEarthy('Stella', True)\nLuminous('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Stella', True)\nAccording to the implied fact: Rompus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-176_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Zumpuses are not amenable. Each zumpus is a yumpus. Each yumpus is not large. Yumpuses are dumpuses. Every dumpus is earthy. Dumpuses are tumpuses. Each tumpus is not bright. Tumpuses are rompuses. Each rompus is not opaque. Rompuses are jompuses. Each jompus is cold. Jompuses are numpuses. Each numpus is not wooden. Numpuses are impuses. Each wumpus is not cold. Impuses are sweet. Every impus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Amenable($x, False)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Large($x, False)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Earthy($x, True)\nrule6: Dumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Bright($x, False)\nrule8: Tumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Opaque($x, False)\nrule10: Rompus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Cold($x, True)\nrule12: Jompus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Wooden($x, False)\nrule14: Numpus($x, True) → Impus($x, True)\nrule15: Wumpus($x, True) → Cold($x, False)\nrule16: Impus($x, True) → Sweet($x, True)\nrule17: Impus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Wooden($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Impus($x, True) → Sweet($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nNumpus('Max', True)\nImpus('Max', True)\nOpaque('Max', False)\nCold('Max', True)\nWooden('Max', False)\nSweet('Max', True)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', False)\nAccording to the implied fact: Vumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-38_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a jompus. Each jompus is transparent. Every jompus is a tumpus. Each numpus is not dull. Tumpuses are metallic. Tumpuses are rompuses. Every rompus is not kind. Every rompus is an impus. Each impus is dull. Each impus is a wumpus. Wumpuses are not happy. Every wumpus is a dumpus. Each dumpus is not orange. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Transparent($x, True)\nrule2: Jompus($x, True) → Tumpus($x, True)\nrule3: Numpus($x, True) → Dull($x, False)\nrule4: Tumpus($x, True) → Metallic($x, True)\nrule5: Tumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Kind($x, False)\nrule7: Rompus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Dull($x, True)\nrule9: Impus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Happy($x, False)\nrule11: Wumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Orange($x, False)\nrule13: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Tumpus($x, True) → Metallic($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Kind($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Happy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Orange($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nRompus('Alex', True)\nImpus('Alex', True)\nWumpus('Alex', True)\nDumpus('Alex', True)\nTransparent('Alex', True)\nMetallic('Alex', True)\nKind('Alex', False)\nDull('Alex', True)\nHappy('Alex', False)\nOrange('Alex', False)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Alex', True)\nAccording to the known fact: Jompus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-272_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a dumpus. Every dumpus is not large. Dumpuses are tumpuses. Every tumpus is amenable. Tumpuses are numpuses. Each numpus is sour. Rompuses are large. Every numpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nDumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, False)\nrule2: Dumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Amenable($x, True)\nrule4: Tumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Sour($x, True)\nrule6: Rompus($x, True) → Large($x, True)\nrule7: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Amenable($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Amenable('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Sour($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sour('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nNumpus('Stella', True)\nLarge('Stella', False)\nAmenable('Stella', True)\nSour('Stella', True)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Stella', False)\nAccording to the implied fact: Sour('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-346_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Every wumpus is brown. Every wumpus is a rompus. Each impus is not liquid. Each rompus is not aggressive. Rompuses are jompuses. Jompuses are dull. Each jompus is a dumpus. Dumpuses are not floral. Dumpuses are tumpuses. Tumpuses are feisty. Tumpuses are zumpuses. Every zumpus is liquid. Every zumpus is a vumpus. Every vumpus is opaque. Each vumpus is a numpus. Every numpus is sweet. Each numpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Brown($x, True)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Impus($x, True) → Liquid($x, False)\nrule4: Rompus($x, True) → Aggressive($x, False)\nrule5: Rompus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Dull($x, True)\nrule7: Jompus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Floral($x, False)\nrule9: Dumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Feisty($x, True)\nrule11: Tumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Liquid($x, True)\nrule13: Zumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Opaque($x, True)\nrule15: Vumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Sweet($x, True)\nrule17: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Rompus($x, True) → Aggressive($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nDumpus('Fae', True)\nTumpus('Fae', True)\nZumpus('Fae', True)\nVumpus('Fae', True)\nNumpus('Fae', True)\nAggressive('Fae', False)\nDull('Fae', True)\nFloral('Fae', False)\nFeisty('Fae', True)\nLiquid('Fae', True)\nOpaque('Fae', True)\nSweet('Fae', True)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', False)\nAccording to the implied fact: Tumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-277_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Wumpuses are small. Every wumpus is a dumpus. Dumpuses are not opaque. Dumpuses are zumpuses. Rompuses are not angry. Zumpuses are angry. Zumpuses are yumpuses. Each yumpus is not bitter. Yumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAngry($x, bool) ::: Is x angry?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, True)\nrule2: Wumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Opaque($x, False)\nrule4: Dumpus($x, True) → Zumpus($x, True)\nrule5: Rompus($x, True) → Angry($x, False)\nrule6: Zumpus($x, True) → Angry($x, True)\nrule7: Zumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Bitter($x, False)\nrule9: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Angry($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Bitter($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nAngry('Sam', True)\nBitter('Sam', False)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not angry.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAngry('Sam', False)\nAccording to the implied fact: Angry('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-270_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a tumpus. Each rompus is wooden. Each rompus is a tumpus. Tumpuses are fruity. Each wumpus is not shy. Tumpuses are impuses. Every impus is not temperate. Every impus is a numpus. Each numpus is shy. Every numpus is a vumpus. Every vumpus is blue. Vumpuses are dumpuses. Each dumpus is mean. Every dumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Wooden($x, True)\nrule2: Rompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Fruity($x, True)\nrule4: Wumpus($x, True) → Shy($x, False)\nrule5: Tumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Temperate($x, False)\nrule7: Impus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Shy($x, True)\nrule9: Numpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Blue($x, True)\nrule11: Vumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Mean($x, True)\nrule13: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Temperate($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Mean($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Mean('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Stella', True)\nNumpus('Stella', True)\nVumpus('Stella', True)\nDumpus('Stella', True)\nFruity('Stella', True)\nTemperate('Stella', False)\nShy('Stella', True)\nBlue('Stella', True)\nMean('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Stella', True)\nAccording to the implied fact: Mean('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-268_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a rompus. Tumpuses are not bitter. Each tumpus is a wumpus. Wumpuses are not metallic. Wumpuses are rompuses. Rompuses are floral. Rompuses are zumpuses. Each zumpus is not small. Each zumpus is a dumpus. Each dumpus is opaque. Every dumpus is a yumpus. Each yumpus is not hot. Every yumpus is a numpus. Each jompus is small. Every numpus is bright. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bitter($x, False)\nrule2: Tumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Metallic($x, False)\nrule4: Wumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Floral($x, True)\nrule6: Rompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Small($x, False)\nrule8: Zumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Opaque($x, True)\nrule10: Dumpus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Hot($x, False)\nrule12: Yumpus($x, True) → Numpus($x, True)\nrule13: Jompus($x, True) → Small($x, True)\nrule14: Numpus($x, True) → Bright($x, True)\nrule15: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Floral($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Floral('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Hot($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Numpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nDumpus('Polly', True)\nYumpus('Polly', True)\nNumpus('Polly', True)\nFloral('Polly', True)\nSmall('Polly', False)\nOpaque('Polly', True)\nHot('Polly', False)\nBright('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Polly', True)\nAccording to the implied fact: Impus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-305_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Every wumpus is spicy. Wumpuses are zumpuses. Zumpuses are shy. Zumpuses are rompuses. Every rompus is large. Rompuses are jompuses. Each jompus is wooden. Each jompus is a dumpus. Every numpus is transparent. Every dumpus is not transparent. Every dumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Spicy($x, True)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Shy($x, True)\nrule4: Zumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Large($x, True)\nrule6: Rompus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Wooden($x, True)\nrule8: Jompus($x, True) → Dumpus($x, True)\nrule9: Numpus($x, True) → Transparent($x, True)\nrule10: Dumpus($x, True) → Transparent($x, False)\nrule11: Dumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Jompus($x, True) → Wooden($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Dumpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nWooden('Fae', True)\nTransparent('Fae', False)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Fae', True)\nAccording to the known fact: Jompus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-58_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Impuses are not large. Impuses are wumpuses. Every wumpus is not dull. Each wumpus is a jompus. Jompuses are floral. Jompuses are vumpuses. Rompuses are not floral.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Large($x, False)\nrule2: Impus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Dull($x, False)\nrule4: Wumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Floral($x, True)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Rompus($x, True) → Floral($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nJompus('Fae', True)\nLarge('Fae', False)\nDull('Fae', False)\nFloral('Fae', True)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', True)\nAccording to the implied fact: Vumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-84_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Each vumpus is large. Yumpuses are fruity. Each yumpus is a tumpus. Every tumpus is not sweet. Tumpuses are jompuses. Jompuses are transparent. Every jompus is an impus. Impuses are not blue. Impuses are dumpuses. Dumpuses are mean. Each dumpus is a zumpus. Each zumpus is dull. Every zumpus is a wumpus. Every wumpus is feisty. Every wumpus is a numpus. Numpuses are not large. Every numpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMean($x, bool) ::: Is x mean?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Large($x, True)\nrule2: Yumpus($x, True) → Fruity($x, True)\nrule3: Yumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Sweet($x, False)\nrule5: Tumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Transparent($x, True)\nrule7: Jompus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Blue($x, False)\nrule9: Impus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Mean($x, True)\nrule11: Dumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Dull($x, True)\nrule13: Zumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Feisty($x, True)\nrule15: Wumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Large($x, False)\nrule17: Numpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule16: Numpus($x, True) → Large($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nLarge('Sally', False)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Sally', True)\nAccording to the implied fact: Large('Sally', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-261_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Each dumpus is not kind. Each dumpus is a vumpus. Vumpuses are small. Each vumpus is a zumpus. Each yumpus is not feisty. Zumpuses are bright. Every zumpus is a jompus. Every jompus is opaque. Jompuses are wumpuses. Wumpuses are feisty. Wumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Kind($x, False)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Small($x, True)\nrule4: Vumpus($x, True) → Zumpus($x, True)\nrule5: Yumpus($x, True) → Feisty($x, False)\nrule6: Zumpus($x, True) → Bright($x, True)\nrule7: Zumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Opaque($x, True)\nrule9: Jompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Feisty($x, True)\nrule11: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Kind($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Kind('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Feisty('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nZumpus('Sally', True)\nJompus('Sally', True)\nWumpus('Sally', True)\nKind('Sally', False)\nSmall('Sally', True)\nBright('Sally', True)\nOpaque('Sally', True)\nFeisty('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sally', False)\nAccording to the implied fact: Vumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-210_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Wumpuses are not large. Each wumpus is a zumpus. Zumpuses are happy. Zumpuses are numpuses. Dumpuses are not happy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Large($x, False)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Happy($x, True)\nrule4: Zumpus($x, True) → Numpus($x, True)\nrule5: Dumpus($x, True) → Happy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Large($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nLarge('Wren', False)\nHappy('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Wren', True)\nAccording to the implied fact: Zumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-158_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Every vumpus is liquid. Vumpuses are jompuses. Jompuses are cold. Jompuses are impuses. Every impus is not aggressive. Every tumpus is not cold. Each impus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nAggressive($x, bool) ::: Is x aggressive?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Liquid($x, True)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Cold($x, True)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Aggressive($x, False)\nrule6: Tumpus($x, True) → Cold($x, False)\nrule7: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Aggressive($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Aggressive('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Stella', True)\nCold('Stella', True)\nAggressive('Stella', False)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAggressive('Stella', True)\nAccording to the implied fact: Aggressive('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-56_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Numpuses are opaque. Each wumpus is kind. Every numpus is a zumpus. Zumpuses are not kind. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nKind($x, bool) ::: Is x kind?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Opaque($x, True)\nrule2: Wumpus($x, True) → Kind($x, True)\nrule3: Numpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Kind($x, False)\nrule5: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Zumpus($x, True) → Kind($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nKind('Alex', False)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Alex', False)\nAccording to the implied fact: Impus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-384_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Vumpuses are not hot. Numpuses are fruity. Every vumpus is a yumpus. Every yumpus is angry. Yumpuses are tumpuses. Tumpuses are not small. Tumpuses are zumpuses. Every zumpus is not fruity. Zumpuses are wumpuses. Wumpuses are wooden. Each wumpus is a rompus. Each rompus is blue. Rompuses are dumpuses. Each dumpus is not spicy. Every dumpus is a jompus. Jompuses are not bright. Each jompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Hot($x, False)\nrule2: Numpus($x, True) → Fruity($x, True)\nrule3: Vumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Angry($x, True)\nrule5: Yumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Small($x, False)\nrule7: Tumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Fruity($x, False)\nrule9: Zumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Wooden($x, True)\nrule11: Wumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Blue($x, True)\nrule13: Rompus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Spicy($x, False)\nrule15: Dumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Bright($x, False)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Small($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Fruity($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Blue($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Spicy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Bright($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nZumpus('Sam', True)\nWumpus('Sam', True)\nRompus('Sam', True)\nDumpus('Sam', True)\nJompus('Sam', True)\nAngry('Sam', True)\nSmall('Sam', False)\nFruity('Sam', False)\nWooden('Sam', True)\nBlue('Sam', True)\nSpicy('Sam', False)\nBright('Sam', False)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Sam', False)\nAccording to the implied fact: Wooden('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-462_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Tumpuses are feisty. Every zumpus is small. Zumpuses are vumpuses. Vumpuses are not feisty. Vumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Feisty($x, True)\nrule2: Zumpus($x, True) → Small($x, True)\nrule3: Zumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Feisty($x, False)\nrule5: Vumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Zumpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Feisty($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nSmall('Wren', True)\nFeisty('Wren', False)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Wren', True)\nAccording to the implied fact: Feisty('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-42_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a zumpus. Tumpuses are shy. Tumpuses are rompuses. Each rompus is bitter. Rompuses are zumpuses. Zumpuses are wooden. Each zumpus is a jompus. Each jompus is red. Each numpus is not wooden. Every jompus is a yumpus. Yumpuses are not earthy. Each yumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Shy($x, True)\nrule2: Tumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Bitter($x, True)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Wooden($x, True)\nrule6: Zumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Red($x, True)\nrule8: Numpus($x, True) → Wooden($x, False)\nrule9: Jompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Earthy($x, False)\nrule11: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Wooden($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Red($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Earthy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Polly', True)\nYumpus('Polly', True)\nWooden('Polly', True)\nRed('Polly', True)\nEarthy('Polly', False)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Polly', True)\nAccording to the implied fact: Jompus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-263_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Rompuses are kind. Each rompus is a zumpus. Zumpuses are small. Zumpuses are wumpuses. Wumpuses are liquid. Wumpuses are yumpuses. Numpuses are not liquid. Each yumpus is transparent. Yumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Kind($x, True)\nrule2: Rompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Small($x, True)\nrule4: Zumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Liquid($x, True)\nrule6: Wumpus($x, True) → Yumpus($x, True)\nrule7: Numpus($x, True) → Liquid($x, False)\nrule8: Yumpus($x, True) → Transparent($x, True)\nrule9: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nLiquid('Fae', True)\nTransparent('Fae', True)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Fae', True)\nAccording to the implied fact: Transparent('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-433_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Every yumpus is not wooden. Yumpuses are wumpuses. Every vumpus is wooden.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Wooden($x, False)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Vumpus($x, True) → Wooden($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Wooden($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nWooden('Stella', False)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Stella', False)\nAccording to the implied fact: Wooden('Stella', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-455_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Each yumpus is amenable. Yumpuses are jompuses. Jompuses are red. Each jompus is a dumpus. Every dumpus is transparent. Each dumpus is a wumpus. Every numpus is not fruity. Each wumpus is bright. Each wumpus is a vumpus. Vumpuses are small. Every vumpus is a rompus. Rompuses are spicy. Rompuses are tumpuses. Tumpuses are not happy. Each tumpus is a zumpus. Each zumpus is fruity. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSpicy($x, bool) ::: Is x spicy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Amenable($x, True)\nrule2: Yumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Red($x, True)\nrule4: Jompus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Transparent($x, True)\nrule6: Dumpus($x, True) → Wumpus($x, True)\nrule7: Numpus($x, True) → Fruity($x, False)\nrule8: Wumpus($x, True) → Bright($x, True)\nrule9: Wumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Small($x, True)\nrule11: Vumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Spicy($x, True)\nrule13: Rompus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Happy($x, False)\nrule15: Tumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Fruity($x, True)\nrule17: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Vumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Spicy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Happy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nTumpus('Sally', True)\nZumpus('Sally', True)\nSmall('Sally', True)\nSpicy('Sally', True)\nHappy('Sally', False)\nFruity('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', False)\nAccording to the implied fact: Impus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-93_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Dumpuses are not luminous. Each dumpus is a rompus. Each yumpus is small. Rompuses are not small. Each rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Luminous($x, False)\nrule2: Dumpus($x, True) → Rompus($x, True)\nrule3: Yumpus($x, True) → Small($x, True)\nrule4: Rompus($x, True) → Small($x, False)\nrule5: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Luminous($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Rompus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nLuminous('Wren', False)\nSmall('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Wren', True)\nAccording to the implied fact: Rompus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-34_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Each dumpus is large. Dumpuses are jompuses. Zumpuses are mean. Jompuses are not mean. Every jompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMean($x, bool) ::: Is x mean?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Zumpus($x, True) → Mean($x, True)\nrule4: Jompus($x, True) → Mean($x, False)\nrule5: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Jompus($x, True) → Mean($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Mean('Sally', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nLarge('Sally', True)\nMean('Sally', False)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Sally', True)\nAccording to the implied fact: Mean('Sally', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-400_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Every impus is sweet. Every impus is a numpus. Each numpus is cold. Every numpus is a zumpus. Zumpuses are bright. Rompuses are not bright. Zumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Sweet($x, True)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Cold($x, True)\nrule4: Numpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Bright($x, True)\nrule6: Rompus($x, True) → Bright($x, False)\nrule7: Zumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nCold('Alex', True)\nBright('Alex', True)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Alex', False)\nAccording to the implied fact: Dumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-243_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Jompuses are dull. Numpuses are not large. Every jompus is a vumpus. Vumpuses are large. Every vumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Dull($x, True)\nrule2: Numpus($x, True) → Large($x, False)\nrule3: Jompus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Large($x, True)\nrule5: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nLarge('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sam', False)\nAccording to the implied fact: Tumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-499_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Every dumpus is red. Every dumpus is a yumpus. Every yumpus is wooden. Yumpuses are tumpuses. Each tumpus is not opaque. Tumpuses are rompuses. Every rompus is dull. Each rompus is an impus. Impuses are small. Impuses are wumpuses. Jompuses are not red.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Red($x, True)\nrule2: Dumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Wooden($x, True)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Opaque($x, False)\nrule6: Tumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Dull($x, True)\nrule8: Rompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Small($x, True)\nrule10: Impus($x, True) → Wumpus($x, True)\nrule11: Jompus($x, True) → Red($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Red($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Wooden($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nTumpus('Polly', True)\nRompus('Polly', True)\nImpus('Polly', True)\nRed('Polly', True)\nWooden('Polly', True)\nOpaque('Polly', False)\nDull('Polly', True)\nSmall('Polly', True)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Polly', True)\nAccording to the implied fact: Small('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-195_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Each rompus is luminous. Each rompus is a tumpus. Every tumpus is feisty. Tumpuses are impuses. Numpuses are mean. Every impus is not mean. Every impus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nMean($x, bool) ::: Is x mean?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Luminous($x, True)\nrule2: Rompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Feisty($x, True)\nrule4: Tumpus($x, True) → Impus($x, True)\nrule5: Numpus($x, True) → Mean($x, True)\nrule6: Impus($x, True) → Mean($x, False)\nrule7: Impus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Luminous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Impus($x, True) → Mean($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Mean('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nImpus('Alex', True)\nLuminous('Alex', True)\nFeisty('Alex', True)\nMean('Alex', False)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Alex', True)\nAccording to the implied fact: Mean('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-197_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Every numpus is transparent. Yumpuses are large. Yumpuses are vumpuses. Every vumpus is not transparent. Vumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Transparent($x, True)\nrule2: Yumpus($x, True) → Large($x, True)\nrule3: Yumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Transparent($x, False)\nrule5: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Yumpus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Transparent($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nVumpus('Alex', True)\nLarge('Alex', True)\nTransparent('Alex', False)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Alex', True)\nAccording to the implied fact: Transparent('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-268_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Every jompus is not transparent. Jompuses are numpuses. Numpuses are nervous. Numpuses are dumpuses. Dumpuses are not hot. Dumpuses are vumpuses. Vumpuses are orange. Each rompus is not orange. Vumpuses are yumpuses. Yumpuses are bright. Every yumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Transparent($x, False)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Nervous($x, True)\nrule4: Numpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Hot($x, False)\nrule6: Dumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Orange($x, True)\nrule8: Rompus($x, True) → Orange($x, False)\nrule9: Vumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Bright($x, True)\nrule11: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Hot($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Orange($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Rex', True)\nYumpus('Rex', True)\nHot('Rex', False)\nOrange('Rex', True)\nBright('Rex', True)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Rex', True)\nAccording to the implied fact: Impus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-462_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Each wumpus is floral. Every yumpus is not bitter. Yumpuses are jompuses. Each jompus is not floral. Each jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Floral($x, True)\nrule2: Yumpus($x, True) → Bitter($x, False)\nrule3: Yumpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Floral($x, False)\nrule5: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Yumpus($x, True) → Bitter($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Floral($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Floral('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nJompus('Polly', True)\nBitter('Polly', False)\nFloral('Polly', False)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Polly', True)\nAccording to the known fact: Yumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-126_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Every numpus is earthy. Numpuses are yumpuses. Yumpuses are transparent. Every yumpus is an impus. Wumpuses are not earthy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Earthy($x, True)\nrule2: Numpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Transparent($x, True)\nrule4: Yumpus($x, True) → Impus($x, True)\nrule5: Wumpus($x, True) → Earthy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nEarthy('Alex', True)\nTransparent('Alex', True)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Alex', True)\nAccording to the implied fact: Earthy('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-280_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Every dumpus is opaque. Every numpus is fruity. Each numpus is an impus. Impuses are not small. Every impus is a yumpus. Each yumpus is bitter. Each yumpus is a jompus. Every jompus is bright. Jompuses are vumpuses. Every vumpus is not opaque. Vumpuses are wumpuses. Wumpuses are metallic. Each wumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, True)\nrule2: Numpus($x, True) → Fruity($x, True)\nrule3: Numpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Small($x, False)\nrule5: Impus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Bitter($x, True)\nrule7: Yumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Bright($x, True)\nrule9: Jompus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Opaque($x, False)\nrule11: Vumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Metallic($x, True)\nrule13: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Impus($x, True) → Small($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Metallic($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nJompus('Sam', True)\nVumpus('Sam', True)\nWumpus('Sam', True)\nSmall('Sam', False)\nBitter('Sam', True)\nBright('Sam', True)\nOpaque('Sam', False)\nMetallic('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sam', True)\nAccording to the implied fact: Vumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-323_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a wumpus. Each wumpus is not temperate. Wumpuses are impuses. Every impus is liquid. Each impus is a vumpus. Jompuses are not angry. Vumpuses are angry. Vumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nWumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Temperate($x, False)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Liquid($x, True)\nrule4: Impus($x, True) → Vumpus($x, True)\nrule5: Jompus($x, True) → Angry($x, False)\nrule6: Vumpus($x, True) → Angry($x, True)\nrule7: Vumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Temperate($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Liquid($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Vumpus($x, True) → Angry($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Angry('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Polly', True)\nVumpus('Polly', True)\nTemperate('Polly', False)\nLiquid('Polly', True)\nAngry('Polly', True)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not angry.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAngry('Polly', False)\nAccording to the implied fact: Angry('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-385_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a numpus. Zumpuses are not red. Zumpuses are rompuses. Each rompus is wooden. Rompuses are wumpuses. Each wumpus is hot. Each wumpus is a numpus. Each numpus is floral. Every numpus is a dumpus. Dumpuses are sweet. Each dumpus is a vumpus. Vumpuses are happy. Vumpuses are yumpuses. Yumpuses are large. Yumpuses are tumpuses. Tumpuses are not bright. Each jompus is not sweet. Every tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Red($x, False)\nrule2: Zumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Wooden($x, True)\nrule4: Rompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Hot($x, True)\nrule6: Wumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Floral($x, True)\nrule8: Numpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Sweet($x, True)\nrule10: Dumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Happy($x, True)\nrule12: Vumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Large($x, True)\nrule14: Yumpus($x, True) → Tumpus($x, True)\nrule15: Tumpus($x, True) → Bright($x, False)\nrule16: Jompus($x, True) → Sweet($x, False)\nrule17: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Numpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Sweet($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Bright($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nVumpus('Sam', True)\nYumpus('Sam', True)\nTumpus('Sam', True)\nFloral('Sam', True)\nSweet('Sam', True)\nHappy('Sam', True)\nLarge('Sam', True)\nBright('Sam', False)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not sweet.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSweet('Sam', False)\nAccording to the implied fact: Sweet('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-330_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Each zumpus is not large. Each zumpus is a wumpus. Numpuses are large.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Large($x, False)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Numpus($x, True) → Large($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nLarge('Stella', False)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', False)\nAccording to the known fact: Zumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-70_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Each yumpus is large. Every wumpus is bright. Each yumpus is a numpus. Numpuses are not bright. Numpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Large($x, True)\nrule2: Wumpus($x, True) → Bright($x, True)\nrule3: Yumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Bright($x, False)\nrule5: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Bright($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nBright('Alex', False)\nTumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', False)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-438_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a dumpus. Each rompus is not amenable. Every rompus is a dumpus. Every dumpus is brown. Dumpuses are wumpuses. Wumpuses are feisty. Every wumpus is an impus. Impuses are large. Impuses are yumpuses. Each yumpus is not fruity. Every vumpus is fruity. Each yumpus is a numpus. Each numpus is opaque. Numpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nDumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Amenable($x, False)\nrule2: Rompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Brown($x, True)\nrule4: Dumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Feisty($x, True)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Large($x, True)\nrule8: Impus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Fruity($x, False)\nrule10: Vumpus($x, True) → Fruity($x, True)\nrule11: Yumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Opaque($x, True)\nrule13: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Large($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Fruity($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nImpus('Stella', True)\nYumpus('Stella', True)\nNumpus('Stella', True)\nBrown('Stella', True)\nFeisty('Stella', True)\nLarge('Stella', True)\nFruity('Stella', False)\nOpaque('Stella', True)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', True)\nAccording to the implied fact: Zumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-222_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Yumpuses are bright. Rompuses are temperate. Rompuses are dumpuses. Dumpuses are not metallic. Each dumpus is a tumpus. Tumpuses are small. Tumpuses are numpuses. Numpuses are not bright. Numpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Bright($x, True)\nrule2: Rompus($x, True) → Temperate($x, True)\nrule3: Rompus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Metallic($x, False)\nrule5: Dumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Small($x, True)\nrule7: Tumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Bright($x, False)\nrule9: Numpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Tumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Bright($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nSmall('Alex', True)\nBright('Alex', False)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Alex', False)\nAccording to the implied fact: Numpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-330_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Every vumpus is not opaque. Each vumpus is a dumpus. Each dumpus is not orange. Each dumpus is a wumpus. Wumpuses are cold. Wumpuses are impuses. Each impus is not bright. Every impus is a yumpus. Yumpuses are feisty. Yumpuses are numpuses. Numpuses are sour. Every numpus is a jompus. Each jompus is not floral. Each zumpus is bright. Jompuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, False)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Orange($x, False)\nrule4: Dumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Cold($x, True)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Bright($x, False)\nrule8: Impus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Feisty($x, True)\nrule10: Yumpus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Sour($x, True)\nrule12: Numpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Floral($x, False)\nrule14: Zumpus($x, True) → Bright($x, True)\nrule15: Jompus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Impus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Sour($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sour('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nNumpus('Stella', True)\nJompus('Stella', True)\nBright('Stella', False)\nFeisty('Stella', True)\nSour('Stella', True)\nFloral('Stella', False)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Stella', False)\nAccording to the implied fact: Yumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-347_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Each jompus is bright. Numpuses are luminous. Numpuses are zumpuses. Zumpuses are earthy. Every zumpus is a dumpus. Dumpuses are not bright. Each dumpus is a wumpus. Wumpuses are not spicy. Wumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bright($x, True)\nrule2: Numpus($x, True) → Luminous($x, True)\nrule3: Numpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Earthy($x, True)\nrule5: Zumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Bright($x, False)\nrule7: Dumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Spicy($x, False)\nrule9: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Bright($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Spicy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Rex', True)\nWumpus('Rex', True)\nEarthy('Rex', True)\nBright('Rex', False)\nSpicy('Rex', False)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Rex', False)\nAccording to the implied fact: Spicy('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-208_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Impuses are small. Impuses are tumpuses. Tumpuses are blue. Tumpuses are dumpuses. Dumpuses are dull. Dumpuses are zumpuses. Zumpuses are sour. Each zumpus is a vumpus. Jompuses are not sour. Vumpuses are aggressive. Vumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Small($x, True)\nrule2: Impus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Blue($x, True)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Dull($x, True)\nrule6: Dumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Sour($x, True)\nrule8: Zumpus($x, True) → Vumpus($x, True)\nrule9: Jompus($x, True) → Sour($x, False)\nrule10: Vumpus($x, True) → Aggressive($x, True)\nrule11: Vumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Sour($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Vumpus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nVumpus('Rex', True)\nDull('Rex', True)\nSour('Rex', True)\nAggressive('Rex', True)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Rex', False)\nAccording to the implied fact: Dull('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-73_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Vumpuses are amenable. Vumpuses are yumpuses. Every yumpus is not blue. Yumpuses are zumpuses. Zumpuses are not wooden. Zumpuses are jompuses. Jompuses are spicy. Every jompus is a numpus. Every numpus is earthy. Numpuses are wumpuses. Wumpuses are dull. Wumpuses are impuses. Each dumpus is cold. Impuses are not cold. Impuses are tumpuses. Each tumpus is shy. Tumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Amenable($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Blue($x, False)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Wooden($x, False)\nrule6: Zumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Spicy($x, True)\nrule8: Jompus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Earthy($x, True)\nrule10: Numpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Dull($x, True)\nrule12: Wumpus($x, True) → Impus($x, True)\nrule13: Dumpus($x, True) → Cold($x, True)\nrule14: Impus($x, True) → Cold($x, False)\nrule15: Impus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Shy($x, True)\nrule17: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Jompus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Impus($x, True) → Cold($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nWumpus('Max', True)\nImpus('Max', True)\nTumpus('Max', True)\nSpicy('Max', True)\nEarthy('Max', True)\nDull('Max', True)\nCold('Max', False)\nShy('Max', True)\nRompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Max', False)\nAccording to the implied fact: Cold('Max', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-147_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Jompuses are not temperate. Jompuses are yumpuses. Yumpuses are not brown. Yumpuses are vumpuses. Vumpuses are feisty. Every vumpus is a zumpus. Zumpuses are not luminous. Dumpuses are sweet. Every zumpus is a rompus. Rompuses are not sweet. Rompuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Temperate($x, False)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Brown($x, False)\nrule4: Yumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Feisty($x, True)\nrule6: Vumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Luminous($x, False)\nrule8: Dumpus($x, True) → Sweet($x, True)\nrule9: Zumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Sweet($x, False)\nrule11: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Luminous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Sweet($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nRompus('Sam', True)\nFeisty('Sam', True)\nLuminous('Sam', False)\nSweet('Sam', False)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sam', False)\nAccording to the known fact: Vumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-457_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Every impus is not temperate. Each numpus is not fruity. Impuses are zumpuses. Zumpuses are not brown. Every zumpus is a vumpus. Vumpuses are dull. Vumpuses are dumpuses. Dumpuses are bitter. Dumpuses are rompuses. Rompuses are large. Rompuses are yumpuses. Each yumpus is not happy. Each yumpus is a jompus. Each jompus is opaque. Every jompus is a wumpus. Wumpuses are fruity. Wumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Temperate($x, False)\nrule2: Numpus($x, True) → Fruity($x, False)\nrule3: Impus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Brown($x, False)\nrule5: Zumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Dull($x, True)\nrule7: Vumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Bitter($x, True)\nrule9: Dumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Large($x, True)\nrule11: Rompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Happy($x, False)\nrule13: Yumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Opaque($x, True)\nrule15: Jompus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Fruity($x, True)\nrule17: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Dumpus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Happy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Fruity($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nYumpus('Sally', True)\nJompus('Sally', True)\nWumpus('Sally', True)\nBitter('Sally', True)\nLarge('Sally', True)\nHappy('Sally', False)\nOpaque('Sally', True)\nFruity('Sally', True)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Sally', False)\nAccording to the implied fact: Bitter('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-139_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a tumpus. Tumpuses are not cold. Each jompus is cold. Each tumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Cold($x, False)\nrule2: Jompus($x, True) → Cold($x, True)\nrule3: Tumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Cold($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nCold('Wren', False)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Wren', False)\nAccording to the implied fact: Cold('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-105_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Every dumpus is luminous. Each dumpus is a numpus. Numpuses are cold. Numpuses are tumpuses. Tumpuses are bright. Each tumpus is a yumpus. Every yumpus is opaque. Jompuses are amenable. Yumpuses are zumpuses. Every zumpus is not amenable. Zumpuses are rompuses. Rompuses are blue. Rompuses are wumpuses. Wumpuses are spicy. Every wumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Luminous($x, True)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Cold($x, True)\nrule4: Numpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Bright($x, True)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Opaque($x, True)\nrule8: Jompus($x, True) → Amenable($x, True)\nrule9: Yumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Amenable($x, False)\nrule11: Zumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Blue($x, True)\nrule13: Rompus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Spicy($x, True)\nrule15: Wumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Zumpus($x, True) → Amenable($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Spicy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nWumpus('Wren', True)\nAmenable('Wren', False)\nBlue('Wren', True)\nSpicy('Wren', True)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Wren', False)\nAccording to the implied fact: Vumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-60_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Vumpuses are not red. Each vumpus is a jompus. Jompuses are floral. Each jompus is a wumpus. Each wumpus is not large. Zumpuses are large. Wumpuses are tumpuses. Each tumpus is angry. Each tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Red($x, False)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Floral($x, True)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Large($x, False)\nrule6: Zumpus($x, True) → Large($x, True)\nrule7: Wumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Angry($x, True)\nrule9: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nLarge('Fae', False)\nAngry('Fae', True)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', True)\nAccording to the implied fact: Tumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-497_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Every zumpus is not aggressive. Every dumpus is small. Every dumpus is a rompus. Rompuses are liquid. Each rompus is a yumpus. Yumpuses are aggressive. Each yumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Aggressive($x, False)\nrule2: Dumpus($x, True) → Small($x, True)\nrule3: Dumpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Liquid($x, True)\nrule5: Rompus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Aggressive($x, True)\nrule7: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Rompus($x, True) → Liquid($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Aggressive($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nLiquid('Fae', True)\nAggressive('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Fae', True)\nAccording to the implied fact: Yumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-419_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a numpus. Every numpus is large. Wumpuses are not transparent. Numpuses are zumpuses. Each zumpus is bright. Zumpuses are jompuses. Every jompus is hot. Jompuses are yumpuses. Yumpuses are transparent. Every yumpus is an impus. Impuses are spicy. Each impus is a dumpus. Each dumpus is happy. Each dumpus is a rompus. Each rompus is fruity. Each rompus is a vumpus. Every vumpus is red. Vumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Large($x, True)\nrule2: Wumpus($x, True) → Transparent($x, False)\nrule3: Numpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Bright($x, True)\nrule5: Zumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Hot($x, True)\nrule7: Jompus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Transparent($x, True)\nrule9: Yumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Spicy($x, True)\nrule11: Impus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Happy($x, True)\nrule13: Dumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Fruity($x, True)\nrule15: Rompus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Red($x, True)\nrule17: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nJompus('Sam', True)\nYumpus('Sam', True)\nImpus('Sam', True)\nDumpus('Sam', True)\nRompus('Sam', True)\nVumpus('Sam', True)\nLarge('Sam', True)\nBright('Sam', True)\nHot('Sam', True)\nTransparent('Sam', True)\nSpicy('Sam', True)\nHappy('Sam', True)\nFruity('Sam', True)\nRed('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Sam', False)\nAccording to the implied fact: Spicy('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-120_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Every tumpus is metallic. Every tumpus is a dumpus. Each dumpus is transparent. Each dumpus is a zumpus. Zumpuses are bright. Each zumpus is a rompus. Rompuses are blue. Each rompus is a jompus. Each jompus is kind. Each numpus is fruity. Jompuses are yumpuses. Every yumpus is not fruity. Yumpuses are vumpuses. Vumpuses are feisty. Vumpuses are wumpuses. Wumpuses are sour. Wumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Metallic($x, True)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Transparent($x, True)\nrule4: Dumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Bright($x, True)\nrule6: Zumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Blue($x, True)\nrule8: Rompus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Kind($x, True)\nrule10: Numpus($x, True) → Fruity($x, True)\nrule11: Jompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Fruity($x, False)\nrule13: Yumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Feisty($x, True)\nrule15: Vumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Sour($x, True)\nrule17: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Fruity($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Sour($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nRompus('Rex', True)\nJompus('Rex', True)\nYumpus('Rex', True)\nVumpus('Rex', True)\nWumpus('Rex', True)\nTransparent('Rex', True)\nBright('Rex', True)\nBlue('Rex', True)\nKind('Rex', True)\nFruity('Rex', False)\nFeisty('Rex', True)\nSour('Rex', True)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Rex', True)\nAccording to the implied fact: Vumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-481_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Wumpuses are luminous. Wumpuses are vumpuses. Each vumpus is not small. Every tumpus is small. Vumpuses are rompuses. Rompuses are opaque. Each rompus is a dumpus. Every dumpus is not mean. Each dumpus is a yumpus. Yumpuses are not shy. Each yumpus is a jompus. Each jompus is not spicy. Each jompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMean($x, bool) ::: Is x mean?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Luminous($x, True)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Small($x, False)\nrule4: Tumpus($x, True) → Small($x, True)\nrule5: Vumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Opaque($x, True)\nrule7: Rompus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Mean($x, False)\nrule9: Dumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Shy($x, False)\nrule11: Yumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Spicy($x, False)\nrule13: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Luminous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Small($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Mean($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Mean('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Spicy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Rex', True)\nRompus('Rex', True)\nDumpus('Rex', True)\nYumpus('Rex', True)\nJompus('Rex', True)\nLuminous('Rex', True)\nSmall('Rex', False)\nOpaque('Rex', True)\nMean('Rex', False)\nShy('Rex', False)\nSpicy('Rex', False)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Rex', True)\nAccording to the implied fact: Dumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-261_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Each vumpus is aggressive. Vumpuses are zumpuses. Every zumpus is bright. Each zumpus is a wumpus. Wumpuses are sour. Every wumpus is a numpus. Each numpus is brown. Numpuses are dumpuses. Dumpuses are not temperate. Dumpuses are tumpuses. Each tumpus is earthy. Every rompus is not brown. Tumpuses are impuses. Each impus is nervous. Impuses are yumpuses. Each yumpus is opaque. Every yumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Aggressive($x, True)\nrule2: Vumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Bright($x, True)\nrule4: Zumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Sour($x, True)\nrule6: Wumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Brown($x, True)\nrule8: Numpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Temperate($x, False)\nrule10: Dumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Earthy($x, True)\nrule12: Rompus($x, True) → Brown($x, False)\nrule13: Tumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Nervous($x, True)\nrule15: Impus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Opaque($x, True)\nrule17: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Sour($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Brown($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Brown('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Temperate($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nNumpus('Rex', True)\nDumpus('Rex', True)\nTumpus('Rex', True)\nImpus('Rex', True)\nYumpus('Rex', True)\nBright('Rex', True)\nSour('Rex', True)\nBrown('Rex', True)\nTemperate('Rex', False)\nEarthy('Rex', True)\nNervous('Rex', True)\nOpaque('Rex', True)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Rex', True)\nAccording to the implied fact: Earthy('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-492_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Yumpuses are not cold. Every yumpus is a jompus. Wumpuses are cold.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Cold($x, False)\nrule2: Yumpus($x, True) → Jompus($x, True)\nrule3: Wumpus($x, True) → Cold($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Cold($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nCold('Max', False)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Max', True)\nAccording to the implied fact: Jompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-484_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Each tumpus is not amenable. Jompuses are not opaque. Every jompus is a vumpus. Vumpuses are large. Vumpuses are rompuses. Rompuses are amenable. Rompuses are zumpuses. Zumpuses are not temperate. Zumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Amenable($x, False)\nrule2: Jompus($x, True) → Opaque($x, False)\nrule3: Jompus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Large($x, True)\nrule5: Vumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Amenable($x, True)\nrule7: Rompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Temperate($x, False)\nrule9: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Rompus($x, True) → Amenable($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Amenable('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Temperate($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nAmenable('Fae', True)\nTemperate('Fae', False)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', True)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-241_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is an impus. Impuses are metallic. Every impus is a numpus. Every numpus is spicy. Numpuses are jompuses. Jompuses are happy. Every jompus is a dumpus. Each wumpus is not large. Dumpuses are bright. Every dumpus is a yumpus. Each yumpus is large. Yumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Metallic($x, True)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Spicy($x, True)\nrule4: Numpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Happy($x, True)\nrule6: Jompus($x, True) → Dumpus($x, True)\nrule7: Wumpus($x, True) → Large($x, False)\nrule8: Dumpus($x, True) → Bright($x, True)\nrule9: Dumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Large($x, True)\nrule11: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Metallic($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Spicy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Spicy('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Happy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Polly', True)\nJompus('Polly', True)\nDumpus('Polly', True)\nYumpus('Polly', True)\nMetallic('Polly', True)\nSpicy('Polly', True)\nHappy('Polly', True)\nBright('Polly', True)\nLarge('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Polly', True)\nAccording to the implied fact: Large('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-248_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Wumpuses are hot. Each wumpus is a yumpus. Every yumpus is not floral. Each yumpus is a tumpus. Tumpuses are feisty. Tumpuses are impuses. Every impus is transparent. Each impus is a dumpus. Dumpuses are orange. Every dumpus is a zumpus. Vumpuses are not large. Zumpuses are large. Zumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Hot($x, True)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Floral($x, False)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Feisty($x, True)\nrule6: Tumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Transparent($x, True)\nrule8: Impus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Orange($x, True)\nrule10: Dumpus($x, True) → Zumpus($x, True)\nrule11: Vumpus($x, True) → Large($x, False)\nrule12: Zumpus($x, True) → Large($x, True)\nrule13: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Zumpus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Alex', True)\nDumpus('Alex', True)\nZumpus('Alex', True)\nFeisty('Alex', True)\nTransparent('Alex', True)\nOrange('Alex', True)\nLarge('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Alex', False)\nAccording to the implied fact: Feisty('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-28_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Zumpuses are nervous. Each zumpus is a rompus. Every rompus is not small. Every rompus is a numpus. Wumpuses are dull. Numpuses are liquid. Numpuses are impuses. Impuses are not dull. Impuses are vumpuses. Vumpuses are not sweet. Vumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Nervous($x, True)\nrule2: Zumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Small($x, False)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Wumpus($x, True) → Dull($x, True)\nrule6: Numpus($x, True) → Liquid($x, True)\nrule7: Numpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Dull($x, False)\nrule9: Impus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Sweet($x, False)\nrule11: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dull($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Sweet($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nImpus('Max', True)\nVumpus('Max', True)\nSmall('Max', False)\nLiquid('Max', True)\nDull('Max', False)\nSweet('Max', False)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', True)\nAccording to the implied fact: Impus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-381_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Rompuses are transparent. Rompuses are dumpuses. Dumpuses are happy. Every dumpus is a yumpus. Each vumpus is not mean. Every yumpus is hot. Yumpuses are numpuses. Numpuses are mean. Every numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Transparent($x, True)\nrule2: Rompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Happy($x, True)\nrule4: Dumpus($x, True) → Yumpus($x, True)\nrule5: Vumpus($x, True) → Mean($x, False)\nrule6: Yumpus($x, True) → Hot($x, True)\nrule7: Yumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Mean($x, True)\nrule9: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Mean($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Mean('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nHot('Fae', True)\nMean('Fae', True)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Fae', False)\nAccording to the implied fact: Mean('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-450_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Each dumpus is metallic. Dumpuses are impuses. Numpuses are not shy. Impuses are spicy. Every impus is a tumpus. Tumpuses are bright. Each tumpus is a rompus. Rompuses are kind. Rompuses are zumpuses. Zumpuses are hot. Each zumpus is a vumpus. Every vumpus is earthy. Vumpuses are yumpuses. Each yumpus is shy. Every yumpus is a wumpus. Each wumpus is not opaque. Each wumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Metallic($x, True)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Numpus($x, True) → Shy($x, False)\nrule4: Impus($x, True) → Spicy($x, True)\nrule5: Impus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Bright($x, True)\nrule7: Tumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Kind($x, True)\nrule9: Rompus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Hot($x, True)\nrule11: Zumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Earthy($x, True)\nrule13: Vumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Shy($x, True)\nrule15: Yumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Opaque($x, False)\nrule17: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nZumpus('Rex', True)\nVumpus('Rex', True)\nYumpus('Rex', True)\nWumpus('Rex', True)\nBright('Rex', True)\nKind('Rex', True)\nHot('Rex', True)\nEarthy('Rex', True)\nShy('Rex', True)\nOpaque('Rex', False)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is shy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nShy('Rex', True)\nAccording to the implied fact: Shy('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-429_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Each rompus is red. Dumpuses are not floral. Each rompus is a tumpus. Tumpuses are not sweet. Tumpuses are numpuses. Numpuses are not liquid. Every numpus is a vumpus. Every vumpus is floral. Vumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Red($x, True)\nrule2: Dumpus($x, True) → Floral($x, False)\nrule3: Rompus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Sweet($x, False)\nrule5: Tumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Liquid($x, False)\nrule7: Numpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Floral($x, True)\nrule9: Vumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Red($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Red('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Sweet($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Liquid($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nNumpus('Alex', True)\nVumpus('Alex', True)\nRed('Alex', True)\nSweet('Alex', False)\nLiquid('Alex', False)\nFloral('Alex', True)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Alex', False)\nAccording to the known fact: Rompus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-114_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a wumpus. Every rompus is kind. Rompuses are wumpuses. Wumpuses are not opaque. Each wumpus is a tumpus. Tumpuses are small. Tumpuses are dumpuses. Every dumpus is hot. Each dumpus is a numpus. Numpuses are wooden. Each zumpus is not brown. Every numpus is a jompus. Jompuses are brown. Jompuses are impuses. Each impus is happy. Every impus is a yumpus. Yumpuses are bitter. Yumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nWumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Kind($x, True)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Opaque($x, False)\nrule4: Wumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Small($x, True)\nrule6: Tumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Hot($x, True)\nrule8: Dumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Wooden($x, True)\nrule10: Zumpus($x, True) → Brown($x, False)\nrule11: Numpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Brown($x, True)\nrule13: Jompus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Happy($x, True)\nrule15: Impus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Bitter($x, True)\nrule17: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Brown($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Brown('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nDumpus('Sam', True)\nNumpus('Sam', True)\nJompus('Sam', True)\nImpus('Sam', True)\nYumpus('Sam', True)\nOpaque('Sam', False)\nSmall('Sam', True)\nHot('Sam', True)\nWooden('Sam', True)\nBrown('Sam', True)\nHappy('Sam', True)\nBitter('Sam', True)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sam', False)\nAccording to the implied fact: Vumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-221_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Every yumpus is cold. Yumpuses are wumpuses. Wumpuses are not fruity. Vumpuses are not kind. Wumpuses are jompuses. Jompuses are kind. Jompuses are tumpuses. Tumpuses are not bitter. Each tumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Cold($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Fruity($x, False)\nrule4: Vumpus($x, True) → Kind($x, False)\nrule5: Wumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Kind($x, True)\nrule7: Jompus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Bitter($x, False)\nrule9: Tumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Fruity($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Kind($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Bitter($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nJompus('Wren', True)\nTumpus('Wren', True)\nCold('Wren', True)\nFruity('Wren', False)\nKind('Wren', True)\nBitter('Wren', False)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', False)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-387_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Every rompus is cold. Every rompus is a zumpus. Zumpuses are not liquid. Every zumpus is a dumpus. Dumpuses are not feisty. Every dumpus is a wumpus. Each wumpus is dull. Each wumpus is a tumpus. Tumpuses are blue. Each tumpus is a jompus. Numpuses are not dull. Each jompus is not mean. Each jompus is a vumpus. Vumpuses are not earthy. Every vumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Cold($x, True)\nrule2: Rompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Liquid($x, False)\nrule4: Zumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Feisty($x, False)\nrule6: Dumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Dull($x, True)\nrule8: Wumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Blue($x, True)\nrule10: Tumpus($x, True) → Jompus($x, True)\nrule11: Numpus($x, True) → Dull($x, False)\nrule12: Jompus($x, True) → Mean($x, False)\nrule13: Jompus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Earthy($x, False)\nrule15: Vumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Jompus($x, True) → Mean($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Mean('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Earthy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nTumpus('Rex', True)\nJompus('Rex', True)\nVumpus('Rex', True)\nDull('Rex', True)\nBlue('Rex', True)\nMean('Rex', False)\nEarthy('Rex', False)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Rex', False)\nAccording to the implied fact: Jompus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-222_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a rompus. Zumpuses are not shy. Zumpuses are rompuses. Rompuses are not floral. Numpuses are floral. Each rompus is a wumpus. Every wumpus is not hot. Wumpuses are jompuses. Jompuses are large. Each jompus is a vumpus. Each vumpus is wooden. Vumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Shy($x, False)\nrule2: Zumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Floral($x, False)\nrule4: Numpus($x, True) → Floral($x, True)\nrule5: Rompus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Hot($x, False)\nrule7: Wumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Large($x, True)\nrule9: Jompus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Wooden($x, True)\nrule11: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Floral($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Wooden($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nJompus('Sally', True)\nVumpus('Sally', True)\nFloral('Sally', False)\nHot('Sally', False)\nLarge('Sally', True)\nWooden('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sally', True)\nAccording to the implied fact: Wumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-238_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Every wumpus is not small. Each wumpus is a rompus. Rompuses are sweet. Each impus is mean. Rompuses are yumpuses. Each yumpus is fruity. Every yumpus is a dumpus. Each dumpus is not mean. Every dumpus is a tumpus. Every tumpus is not opaque. Every tumpus is a vumpus. Vumpuses are dull. Every vumpus is a numpus. Numpuses are blue. Numpuses are zumpuses. Each zumpus is metallic. Zumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nMean($x, bool) ::: Is x mean?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, False)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Sweet($x, True)\nrule4: Impus($x, True) → Mean($x, True)\nrule5: Rompus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Fruity($x, True)\nrule7: Yumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Mean($x, False)\nrule9: Dumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Opaque($x, False)\nrule11: Tumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Dull($x, True)\nrule13: Vumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Blue($x, True)\nrule15: Numpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Metallic($x, True)\nrule17: Zumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Small($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Mean($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Mean('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Metallic($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nYumpus('Alex', True)\nDumpus('Alex', True)\nTumpus('Alex', True)\nVumpus('Alex', True)\nNumpus('Alex', True)\nZumpus('Alex', True)\nSmall('Alex', False)\nSweet('Alex', True)\nFruity('Alex', True)\nMean('Alex', False)\nOpaque('Alex', False)\nDull('Alex', True)\nBlue('Alex', True)\nMetallic('Alex', True)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Alex', False)\nAccording to the implied fact: Small('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-496_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Zumpuses are transparent. Every zumpus is a vumpus. Each vumpus is not feisty. Vumpuses are rompuses. Each rompus is earthy. Dumpuses are not bright. Each rompus is a numpus. Every numpus is bright. Each numpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, True)\nrule2: Zumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Feisty($x, False)\nrule4: Vumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Earthy($x, True)\nrule6: Dumpus($x, True) → Bright($x, False)\nrule7: Rompus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Bright($x, True)\nrule9: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Feisty($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nVumpus('Fae', True)\nRompus('Fae', True)\nNumpus('Fae', True)\nTransparent('Fae', True)\nFeisty('Fae', False)\nEarthy('Fae', True)\nBright('Fae', True)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', True)\nAccording to the known fact: Zumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-358_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Every tumpus is bitter. Tumpuses are yumpuses. Yumpuses are earthy. Every rompus is not bitter. Yumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bitter($x, True)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Earthy($x, True)\nrule4: Rompus($x, True) → Bitter($x, False)\nrule5: Yumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Bitter($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nBitter('Polly', True)\nEarthy('Polly', True)\nZumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Polly', False)\nAccording to the implied fact: Yumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-42_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Every numpus is mean. Numpuses are impuses. Impuses are dull. Every dumpus is not dull. Every impus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Mean($x, True)\nrule2: Numpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Dull($x, True)\nrule4: Dumpus($x, True) → Dull($x, False)\nrule5: Impus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Mean($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Mean('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nMean('Max', True)\nDull('Max', True)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Max', False)\nAccording to the implied fact: Tumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-287_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Each jompus is not hot. Each jompus is a yumpus. Zumpuses are hot.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Hot($x, False)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Zumpus($x, True) → Hot($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Hot($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nHot('Max', False)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not hot.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHot('Max', False)\nAccording to the implied fact: Hot('Max', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-245_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Each yumpus is brown. Each yumpus is a zumpus. Each zumpus is fruity. Every zumpus is a wumpus. Impuses are large. Wumpuses are spicy. Each wumpus is a numpus. Each numpus is not large. Each numpus is a rompus. Every rompus is liquid. Rompuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Brown($x, True)\nrule2: Yumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Fruity($x, True)\nrule4: Zumpus($x, True) → Wumpus($x, True)\nrule5: Impus($x, True) → Large($x, True)\nrule6: Wumpus($x, True) → Spicy($x, True)\nrule7: Wumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Large($x, False)\nrule9: Numpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Liquid($x, True)\nrule11: Rompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Wumpus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Liquid($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nWumpus('Alex', True)\nNumpus('Alex', True)\nRompus('Alex', True)\nBrown('Alex', True)\nFruity('Alex', True)\nSpicy('Alex', True)\nLarge('Alex', False)\nLiquid('Alex', True)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Alex', False)\nAccording to the implied fact: Liquid('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-312_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Each zumpus is not liquid. Each yumpus is liquid. Each zumpus is a dumpus. Dumpuses are not amenable. Dumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Liquid($x, False)\nrule2: Yumpus($x, True) → Liquid($x, True)\nrule3: Zumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Amenable($x, False)\nrule5: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Liquid($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Amenable($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nLiquid('Alex', False)\nAmenable('Alex', False)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Alex', True)\nAccording to the implied fact: Amenable('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-188_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Vumpuses are not sour. Every vumpus is a jompus. Jompuses are not floral. Jompuses are zumpuses. Zumpuses are brown. Each zumpus is an impus. Each impus is not hot. Every impus is a dumpus. Every dumpus is small. Each dumpus is a rompus. Each rompus is bright. Rompuses are wumpuses. Each tumpus is not small.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Sour($x, False)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Floral($x, False)\nrule4: Jompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Brown($x, True)\nrule6: Zumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Hot($x, False)\nrule8: Impus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Small($x, True)\nrule10: Dumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Bright($x, True)\nrule12: Rompus($x, True) → Wumpus($x, True)\nrule13: Tumpus($x, True) → Small($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Sour($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Floral($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Hot($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nZumpus('Alex', True)\nImpus('Alex', True)\nDumpus('Alex', True)\nRompus('Alex', True)\nSour('Alex', False)\nFloral('Alex', False)\nBrown('Alex', True)\nHot('Alex', False)\nSmall('Alex', True)\nBright('Alex', True)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Alex', True)\nAccording to the implied fact: Rompus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-484_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Each vumpus is not cold. Every vumpus is a tumpus. Every tumpus is wooden. Rompuses are cold. Tumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Cold($x, False)\nrule2: Vumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Wooden($x, True)\nrule4: Rompus($x, True) → Cold($x, True)\nrule5: Tumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Cold($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Wooden($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nCold('Alex', False)\nWooden('Alex', True)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', False)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-336_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Every zumpus is transparent. Vumpuses are not transparent. Zumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, True)\nrule2: Vumpus($x, True) → Transparent($x, False)\nrule3: Zumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nTransparent('Alex', True)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Alex', False)\nAccording to the implied fact: Numpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-103_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Each dumpus is red. Every dumpus is a vumpus. Each vumpus is not large. Vumpuses are jompuses. Every jompus is aggressive. Jompuses are numpuses. Numpuses are not dull. Each yumpus is sour. Numpuses are rompuses. Rompuses are not sour. Every rompus is a tumpus. Each tumpus is luminous. Every tumpus is a wumpus. Wumpuses are not feisty. Every wumpus is a zumpus. Every zumpus is hot. Each zumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Red($x, True)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Large($x, False)\nrule4: Vumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Aggressive($x, True)\nrule6: Jompus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Dull($x, False)\nrule8: Yumpus($x, True) → Sour($x, True)\nrule9: Numpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Sour($x, False)\nrule11: Rompus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Luminous($x, True)\nrule13: Tumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Feisty($x, False)\nrule15: Wumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Hot($x, True)\nrule17: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Dull($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Sour($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Luminous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Feisty($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nRompus('Rex', True)\nTumpus('Rex', True)\nWumpus('Rex', True)\nZumpus('Rex', True)\nAggressive('Rex', True)\nDull('Rex', False)\nSour('Rex', False)\nLuminous('Rex', True)\nFeisty('Rex', False)\nHot('Rex', True)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Rex', True)\nAccording to the known fact: Jompus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-327_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Every wumpus is happy. Wumpuses are dumpuses. Each dumpus is not fruity. Each dumpus is an impus. Impuses are bitter. Each impus is a numpus. Every numpus is not bright. Numpuses are rompuses. Every rompus is not opaque. Each rompus is a jompus. Jompuses are not liquid. Every jompus is a yumpus. Tumpuses are opaque. Every yumpus is small. Every yumpus is a vumpus. Vumpuses are cold. Vumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Happy($x, True)\nrule2: Wumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Fruity($x, False)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Bitter($x, True)\nrule6: Impus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Bright($x, False)\nrule8: Numpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Opaque($x, False)\nrule10: Rompus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Liquid($x, False)\nrule12: Jompus($x, True) → Yumpus($x, True)\nrule13: Tumpus($x, True) → Opaque($x, True)\nrule14: Yumpus($x, True) → Small($x, True)\nrule15: Yumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Cold($x, True)\nrule17: Vumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Numpus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Liquid($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Yumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nJompus('Sally', True)\nYumpus('Sally', True)\nVumpus('Sally', True)\nBright('Sally', False)\nOpaque('Sally', False)\nLiquid('Sally', False)\nSmall('Sally', True)\nCold('Sally', True)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sally', False)\nAccording to the implied fact: Jompus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-239_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Every wumpus is not hot. Wumpuses are numpuses. Each numpus is bitter. Numpuses are zumpuses. Zumpuses are opaque. Every zumpus is a jompus. Impuses are hot.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Hot($x, False)\nrule2: Wumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Bitter($x, True)\nrule4: Numpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Opaque($x, True)\nrule6: Zumpus($x, True) → Jompus($x, True)\nrule7: Impus($x, True) → Hot($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nZumpus('Fae', True)\nHot('Fae', False)\nBitter('Fae', True)\nOpaque('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', False)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-430_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a rompus. Each jompus is bright. Each jompus is an impus. Impuses are liquid. Impuses are wumpuses. Each wumpus is mean. Wumpuses are rompuses. Each rompus is brown. Every tumpus is not brown. Rompuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nRompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bright($x, True)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Liquid($x, True)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Mean($x, True)\nrule6: Wumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Brown($x, True)\nrule8: Tumpus($x, True) → Brown($x, False)\nrule9: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Rompus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nBrown('Stella', True)\nYumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Stella', True)\nAccording to the implied fact: Brown('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-211_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a rompus. Every zumpus is bitter. Dumpuses are not bright. Every zumpus is a tumpus. Every tumpus is transparent. Tumpuses are rompuses. Every rompus is bright. Rompuses are numpuses. Numpuses are kind. Each numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Bitter($x, True)\nrule2: Dumpus($x, True) → Bright($x, False)\nrule3: Zumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Transparent($x, True)\nrule5: Tumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Bright($x, True)\nrule7: Rompus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Kind($x, True)\nrule9: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Rompus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Kind($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Stella', True)\nBright('Stella', True)\nKind('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Stella', True)\nAccording to the implied fact: Bright('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-306_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Zumpuses are spicy. Each zumpus is a tumpus. Tumpuses are not bright. Every tumpus is a wumpus. Every wumpus is orange. Wumpuses are impuses. Each impus is hot. Impuses are jompuses. Vumpuses are happy. Jompuses are not happy. Jompuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSpicy($x, bool) ::: Is x spicy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Spicy($x, True)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Bright($x, False)\nrule4: Tumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Orange($x, True)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Hot($x, True)\nrule8: Impus($x, True) → Jompus($x, True)\nrule9: Vumpus($x, True) → Happy($x, True)\nrule10: Jompus($x, True) → Happy($x, False)\nrule11: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Bright($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Orange($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Jompus($x, True) → Happy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nWumpus('Sam', True)\nImpus('Sam', True)\nJompus('Sam', True)\nSpicy('Sam', True)\nBright('Sam', False)\nOrange('Sam', True)\nHot('Sam', True)\nHappy('Sam', False)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sam', False)\nAccording to the known fact: Zumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-22_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Wumpuses are small. Each wumpus is a yumpus. Each numpus is not bright. Yumpuses are red. Each yumpus is a rompus. Rompuses are transparent. Rompuses are dumpuses. Each dumpus is earthy. Dumpuses are jompuses. Every jompus is not angry. Each jompus is a zumpus. Each zumpus is happy. Zumpuses are tumpuses. Every tumpus is luminous. Tumpuses are vumpuses. Every vumpus is bright. Vumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, True)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Numpus($x, True) → Bright($x, False)\nrule4: Yumpus($x, True) → Red($x, True)\nrule5: Yumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Transparent($x, True)\nrule7: Rompus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Earthy($x, True)\nrule9: Dumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Angry($x, False)\nrule11: Jompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Happy($x, True)\nrule13: Zumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Luminous($x, True)\nrule15: Tumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Bright($x, True)\nrule17: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Luminous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nVumpus('Stella', True)\nHappy('Stella', True)\nLuminous('Stella', True)\nBright('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Stella', True)\nAccording to the implied fact: Tumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-294_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Each yumpus is not dull. Each yumpus is a vumpus. Vumpuses are fruity. Vumpuses are zumpuses. Each zumpus is mean. Each zumpus is a tumpus. Each tumpus is transparent. Every tumpus is a jompus. Jompuses are sweet. Numpuses are not sweet. Jompuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMean($x, bool) ::: Is x mean?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Dull($x, False)\nrule2: Yumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Fruity($x, True)\nrule4: Vumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Mean($x, True)\nrule6: Zumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Transparent($x, True)\nrule8: Tumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Sweet($x, True)\nrule10: Numpus($x, True) → Sweet($x, False)\nrule11: Jompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Jompus($x, True) → Sweet($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nSweet('Sam', True)\nWumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', False)\nAccording to the implied fact: Wumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-55_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a rompus. Every zumpus is shy. Each zumpus is a yumpus. Each yumpus is liquid. Yumpuses are rompuses. Every rompus is transparent. Every rompus is a vumpus. Vumpuses are large. Every vumpus is a numpus. Every wumpus is not large. Numpuses are angry. Every numpus is a tumpus. Each tumpus is hot. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Shy($x, True)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Liquid($x, True)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Transparent($x, True)\nrule6: Rompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Large($x, True)\nrule8: Vumpus($x, True) → Numpus($x, True)\nrule9: Wumpus($x, True) → Large($x, False)\nrule10: Numpus($x, True) → Angry($x, True)\nrule11: Numpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Hot($x, True)\nrule13: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Numpus($x, True) → Angry($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Angry('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nNumpus('Sally', True)\nTumpus('Sally', True)\nTransparent('Sally', True)\nLarge('Sally', True)\nAngry('Sally', True)\nHot('Sally', True)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Sally', False)\nAccording to the implied fact: Large('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-56_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Zumpuses are not feisty. Each jompus is fruity. Zumpuses are numpuses. Every numpus is sour. Numpuses are vumpuses. Vumpuses are not amenable. Every vumpus is a yumpus. Yumpuses are not fruity. Every yumpus is a rompus. Each rompus is not small. Rompuses are tumpuses. Tumpuses are orange. Tumpuses are dumpuses. Each dumpus is dull. Dumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Feisty($x, False)\nrule2: Jompus($x, True) → Fruity($x, True)\nrule3: Zumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Sour($x, True)\nrule5: Numpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Amenable($x, False)\nrule7: Vumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Fruity($x, False)\nrule9: Yumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Small($x, False)\nrule11: Rompus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Orange($x, True)\nrule13: Tumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Dull($x, True)\nrule15: Dumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Feisty($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Sour($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Amenable($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Fruity($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Orange($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nVumpus('Max', True)\nYumpus('Max', True)\nRompus('Max', True)\nTumpus('Max', True)\nDumpus('Max', True)\nFeisty('Max', False)\nSour('Max', True)\nAmenable('Max', False)\nFruity('Max', False)\nSmall('Max', False)\nOrange('Max', True)\nDull('Max', True)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Max', True)\nAccording to the implied fact: Sour('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-51_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Every dumpus is opaque. Each tumpus is large. Each tumpus is a yumpus. Each yumpus is wooden. Each yumpus is a numpus. Each numpus is angry. Numpuses are zumpuses. Zumpuses are not opaque. Each zumpus is a jompus. Each jompus is nervous. Every jompus is a vumpus. Each vumpus is floral. Vumpuses are wumpuses. Every wumpus is bright. Wumpuses are impuses. Impuses are not spicy. Impuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, True)\nrule2: Tumpus($x, True) → Large($x, True)\nrule3: Tumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Wooden($x, True)\nrule5: Yumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Angry($x, True)\nrule7: Numpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Opaque($x, False)\nrule9: Zumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Nervous($x, True)\nrule11: Jompus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Floral($x, True)\nrule13: Vumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Bright($x, True)\nrule15: Wumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Spicy($x, False)\nrule17: Impus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Tumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Wooden($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Spicy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Spicy('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nNumpus('Fae', True)\nZumpus('Fae', True)\nJompus('Fae', True)\nVumpus('Fae', True)\nWumpus('Fae', True)\nImpus('Fae', True)\nLarge('Fae', True)\nWooden('Fae', True)\nAngry('Fae', True)\nOpaque('Fae', False)\nNervous('Fae', True)\nFloral('Fae', True)\nBright('Fae', True)\nSpicy('Fae', False)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Fae', True)\nAccording to the implied fact: Wooden('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-109_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is an impus. Dumpuses are hot. Rompuses are metallic. Rompuses are numpuses. Numpuses are dull. Each numpus is a tumpus. Tumpuses are not opaque. Every tumpus is a zumpus. Zumpuses are large. Each zumpus is a jompus. Every jompus is floral. Jompuses are impuses. Every impus is not hot. Each impus is a wumpus. Every wumpus is not spicy. Every wumpus is a vumpus. Vumpuses are blue. Every vumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Hot($x, True)\nrule2: Rompus($x, True) → Metallic($x, True)\nrule3: Rompus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Dull($x, True)\nrule5: Numpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Opaque($x, False)\nrule7: Tumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Large($x, True)\nrule9: Zumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Floral($x, True)\nrule11: Jompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Hot($x, False)\nrule13: Impus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Spicy($x, False)\nrule15: Wumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Blue($x, True)\nrule17: Vumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Impus($x, True) → Hot($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Spicy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Spicy('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Blue('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nVumpus('Polly', True)\nHot('Polly', False)\nSpicy('Polly', False)\nBlue('Polly', True)\nYumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not hot.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHot('Polly', False)\nAccording to the implied fact: Hot('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-481_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Impuses are kind. Impuses are wumpuses. Vumpuses are floral. Each wumpus is not transparent. Every wumpus is a zumpus. Every zumpus is not floral. Every zumpus is a rompus. Rompuses are not bright. Each rompus is a tumpus. Each tumpus is not sour. Tumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Kind($x, True)\nrule2: Impus($x, True) → Wumpus($x, True)\nrule3: Vumpus($x, True) → Floral($x, True)\nrule4: Wumpus($x, True) → Transparent($x, False)\nrule5: Wumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Floral($x, False)\nrule7: Zumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Bright($x, False)\nrule9: Rompus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Sour($x, False)\nrule11: Tumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Sour($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Sour('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Stella', True)\nTumpus('Stella', True)\nFloral('Stella', False)\nBright('Stella', False)\nSour('Stella', False)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', False)\nAccording to the known fact: Zumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-348_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Wumpuses are cold. Every wumpus is a rompus. Rompuses are spicy. Rompuses are zumpuses. Each zumpus is not floral. Each zumpus is a tumpus. Each tumpus is not transparent. Every tumpus is a yumpus. Vumpuses are red. Each yumpus is not red. Yumpuses are dumpuses. Dumpuses are dull. Dumpuses are numpuses. Every numpus is not aggressive. Every numpus is a jompus. Jompuses are not luminous. Every jompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Cold($x, True)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Spicy($x, True)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Floral($x, False)\nrule6: Zumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Transparent($x, False)\nrule8: Tumpus($x, True) → Yumpus($x, True)\nrule9: Vumpus($x, True) → Red($x, True)\nrule10: Yumpus($x, True) → Red($x, False)\nrule11: Yumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Dull($x, True)\nrule13: Dumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Aggressive($x, False)\nrule15: Numpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Luminous($x, False)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Yumpus($x, True) → Red($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Aggressive($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Aggressive('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Luminous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nNumpus('Sam', True)\nJompus('Sam', True)\nRed('Sam', False)\nDull('Sam', True)\nAggressive('Sam', False)\nLuminous('Sam', False)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sam', True)\nAccording to the implied fact: Numpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-370_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a wumpus. Each wumpus is not small. Every wumpus is a jompus. Every jompus is not bright. Every numpus is bright. Every jompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nWumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, False)\nrule2: Wumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Bright($x, False)\nrule4: Numpus($x, True) → Bright($x, True)\nrule5: Jompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Small($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Bright($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nSmall('Sam', False)\nBright('Sam', False)\nYumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Sam', True)\nAccording to the implied fact: Small('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-138_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Yumpuses are brown. Each yumpus is a numpus. Every numpus is dull. Numpuses are rompuses. Each rompus is large. Rompuses are vumpuses. Every vumpus is mean. Every vumpus is an impus. Each impus is nervous. Impuses are zumpuses. Zumpuses are fruity. Every zumpus is a tumpus. Tumpuses are hot. Every tumpus is a wumpus. Every jompus is not nervous. Every wumpus is not spicy. Wumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Brown($x, True)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Dull($x, True)\nrule4: Numpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Large($x, True)\nrule6: Rompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Mean($x, True)\nrule8: Vumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Nervous($x, True)\nrule10: Impus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Fruity($x, True)\nrule12: Zumpus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Hot($x, True)\nrule14: Tumpus($x, True) → Wumpus($x, True)\nrule15: Jompus($x, True) → Nervous($x, False)\nrule16: Wumpus($x, True) → Spicy($x, False)\nrule17: Wumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Vumpus($x, True) → Mean($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Mean('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Wumpus($x, True) → Spicy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nZumpus('Sam', True)\nTumpus('Sam', True)\nWumpus('Sam', True)\nMean('Sam', True)\nNervous('Sam', True)\nFruity('Sam', True)\nHot('Sam', True)\nSpicy('Sam', False)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Sam', False)\nAccording to the implied fact: Mean('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-351_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Yumpuses are not nervous. Yumpuses are tumpuses. Tumpuses are cold. Each tumpus is a vumpus. Vumpuses are not metallic. Vumpuses are impuses. Each impus is floral. Impuses are dumpuses. Each dumpus is sour. Dumpuses are rompuses. Wumpuses are not floral.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Nervous($x, False)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Cold($x, True)\nrule4: Tumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Metallic($x, False)\nrule6: Vumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Floral($x, True)\nrule8: Impus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Sour($x, True)\nrule10: Dumpus($x, True) → Rompus($x, True)\nrule11: Wumpus($x, True) → Floral($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Impus($x, True) → Floral($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Sour($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sour('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nFinally, we obtain following implied facts:\nDumpus('Stella', True)\nFloral('Stella', True)\nSour('Stella', True)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Stella', True)\nAccording to the implied fact: Sour('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-418_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a rompus. Numpuses are not dull. Every numpus is a vumpus. Each vumpus is earthy. Yumpuses are cold. Vumpuses are tumpuses. Tumpuses are spicy. Each tumpus is a rompus. Every rompus is not cold. Rompuses are wumpuses. Each wumpus is transparent. Wumpuses are impuses. Each impus is wooden. Each impus is a zumpus. Every zumpus is small. Each zumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Dull($x, False)\nrule2: Numpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Earthy($x, True)\nrule4: Yumpus($x, True) → Cold($x, True)\nrule5: Vumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Spicy($x, True)\nrule7: Tumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Cold($x, False)\nrule9: Rompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Transparent($x, True)\nrule11: Wumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Wooden($x, True)\nrule13: Impus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Small($x, True)\nrule15: Zumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Rompus($x, True) → Cold($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Wooden($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nImpus('Polly', True)\nZumpus('Polly', True)\nCold('Polly', False)\nTransparent('Polly', True)\nWooden('Polly', True)\nSmall('Polly', True)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Polly', False)\nAccording to the implied fact: Wumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-96_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Each vumpus is not red. Jompuses are red. Each vumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Red($x, False)\nrule2: Jompus($x, True) → Red($x, True)\nrule3: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Red($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Red('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nRed('Alex', False)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Alex', True)\nAccording to the implied fact: Red('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-215_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Every dumpus is not shy. Dumpuses are wumpuses. Wumpuses are not small. Wumpuses are impuses. Jompuses are cold. Every impus is not cold. Impuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Shy($x, False)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Small($x, False)\nrule4: Wumpus($x, True) → Impus($x, True)\nrule5: Jompus($x, True) → Cold($x, True)\nrule6: Impus($x, True) → Cold($x, False)\nrule7: Impus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Shy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Impus($x, True) → Cold($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nImpus('Wren', True)\nShy('Wren', False)\nSmall('Wren', False)\nCold('Wren', False)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Wren', False)\nAccording to the implied fact: Yumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-129_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Every numpus is not bright. Every numpus is a vumpus. Every vumpus is not bitter. Tumpuses are feisty. Vumpuses are jompuses. Jompuses are not feisty. Jompuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Bright($x, False)\nrule2: Numpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Bitter($x, False)\nrule4: Tumpus($x, True) → Feisty($x, True)\nrule5: Vumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Feisty($x, False)\nrule7: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Bright($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Bitter($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Feisty($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nVumpus('Alex', True)\nJompus('Alex', True)\nBright('Alex', False)\nBitter('Alex', False)\nFeisty('Alex', False)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Alex', False)\nAccording to the known fact: Numpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-202_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Dumpuses are dull. Dumpuses are rompuses. Rompuses are not red. Each rompus is a tumpus. Every tumpus is nervous. Each tumpus is an impus. Impuses are not opaque. Each impus is a yumpus. Every yumpus is not temperate. Yumpuses are zumpuses. Zumpuses are metallic. Every numpus is opaque. Zumpuses are jompuses. Every jompus is mean. Jompuses are vumpuses. Vumpuses are bitter. Vumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Dull($x, True)\nrule2: Dumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Red($x, False)\nrule4: Rompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Nervous($x, True)\nrule6: Tumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Opaque($x, False)\nrule8: Impus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Temperate($x, False)\nrule10: Yumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Metallic($x, True)\nrule12: Numpus($x, True) → Opaque($x, True)\nrule13: Zumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Mean($x, True)\nrule15: Jompus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Bitter($x, True)\nrule17: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Temperate($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Metallic($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Mean($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Mean('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nYumpus('Sam', True)\nZumpus('Sam', True)\nJompus('Sam', True)\nVumpus('Sam', True)\nNervous('Sam', True)\nOpaque('Sam', False)\nTemperate('Sam', False)\nMetallic('Sam', True)\nMean('Sam', True)\nBitter('Sam', True)\nWumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sam', False)\nAccording to the implied fact: Impus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-469_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Vumpuses are transparent. Every vumpus is a numpus. Numpuses are not hot. Numpuses are wumpuses. Wumpuses are happy. Jompuses are not dull. Wumpuses are impuses. Every impus is dull. Each impus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Transparent($x, True)\nrule2: Vumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Hot($x, False)\nrule4: Numpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Happy($x, True)\nrule6: Jompus($x, True) → Dull($x, False)\nrule7: Wumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Dull($x, True)\nrule9: Impus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nHappy('Wren', True)\nDull('Wren', True)\nRompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Wren', True)\nAccording to the implied fact: Dull('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-360_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Tumpuses are cold. Each tumpus is a rompus. Rompuses are sweet. Rompuses are wumpuses. Each wumpus is aggressive. Every wumpus is a dumpus. Each dumpus is not feisty. Dumpuses are vumpuses. Vumpuses are not small. Every vumpus is an impus. Each impus is bright. Every impus is a numpus. Zumpuses are small. Numpuses are metallic. Numpuses are jompuses. Jompuses are brown. Jompuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Cold($x, True)\nrule2: Tumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Sweet($x, True)\nrule4: Rompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Aggressive($x, True)\nrule6: Wumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Feisty($x, False)\nrule8: Dumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Small($x, False)\nrule10: Vumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Bright($x, True)\nrule12: Impus($x, True) → Numpus($x, True)\nrule13: Zumpus($x, True) → Small($x, True)\nrule14: Numpus($x, True) → Metallic($x, True)\nrule15: Numpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Brown($x, True)\nrule17: Jompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Aggressive('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Feisty($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Small($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Numpus($x, True) → Metallic($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nVumpus('Alex', True)\nImpus('Alex', True)\nNumpus('Alex', True)\nJompus('Alex', True)\nAggressive('Alex', True)\nFeisty('Alex', False)\nSmall('Alex', False)\nBright('Alex', True)\nMetallic('Alex', True)\nBrown('Alex', True)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Alex', False)\nAccording to the implied fact: Numpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-327_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Every vumpus is spicy. Vumpuses are dumpuses. Dumpuses are not luminous. Rompuses are luminous. Dumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Spicy($x, True)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Luminous($x, False)\nrule4: Rompus($x, True) → Luminous($x, True)\nrule5: Dumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Luminous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nSpicy('Sally', True)\nLuminous('Sally', False)\nWumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sally', True)\nAccording to the implied fact: Dumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-81_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Rompuses are not metallic. Rompuses are yumpuses. Every yumpus is not sweet. Yumpuses are tumpuses. Each tumpus is hot. Every tumpus is a jompus. Every wumpus is not happy. Each jompus is red. Jompuses are vumpuses. Vumpuses are bright. Every vumpus is a dumpus. Every dumpus is happy. Every dumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nMetallic($x, bool) ::: Is x metallic?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Metallic($x, False)\nrule2: Rompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Sweet($x, False)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Hot($x, True)\nrule6: Tumpus($x, True) → Jompus($x, True)\nrule7: Wumpus($x, True) → Happy($x, False)\nrule8: Jompus($x, True) → Red($x, True)\nrule9: Jompus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Bright($x, True)\nrule11: Vumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Happy($x, True)\nrule13: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Jompus($x, True) → Red($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nDumpus('Stella', True)\nRed('Stella', True)\nBright('Stella', True)\nHappy('Stella', True)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not happy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHappy('Stella', False)\nAccording to the implied fact: Happy('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-37_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Dumpuses are hot. Dumpuses are jompuses. Jompuses are bright. Jompuses are tumpuses. Every tumpus is shy. Tumpuses are yumpuses. Each yumpus is not angry. Yumpuses are impuses. Every wumpus is angry. Each impus is earthy. Every impus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Hot($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Bright($x, True)\nrule4: Jompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Shy($x, True)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Angry($x, False)\nrule8: Yumpus($x, True) → Impus($x, True)\nrule9: Wumpus($x, True) → Angry($x, True)\nrule10: Impus($x, True) → Earthy($x, True)\nrule11: Impus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Angry($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Angry('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Impus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nYumpus('Rex', True)\nImpus('Rex', True)\nShy('Rex', True)\nAngry('Rex', False)\nEarthy('Rex', True)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', True)\nAccording to the implied fact: Zumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-50_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Each zumpus is bright. Every zumpus is a tumpus. Tumpuses are sweet. Tumpuses are jompuses. Every jompus is feisty. Each jompus is a wumpus. Each wumpus is blue. Every wumpus is a yumpus. Every yumpus is amenable. Each yumpus is a dumpus. Vumpuses are not amenable.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Bright($x, True)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Sweet($x, True)\nrule4: Tumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Feisty($x, True)\nrule6: Jompus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Blue($x, True)\nrule8: Wumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Amenable($x, True)\nrule10: Yumpus($x, True) → Dumpus($x, True)\nrule11: Vumpus($x, True) → Amenable($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Sweet($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Amenable($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nJompus('Alex', True)\nWumpus('Alex', True)\nYumpus('Alex', True)\nBright('Alex', True)\nSweet('Alex', True)\nFeisty('Alex', True)\nBlue('Alex', True)\nAmenable('Alex', True)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', True)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-219_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Every dumpus is aggressive. Dumpuses are vumpuses. Each rompus is not aggressive.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Aggressive($x, True)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Rompus($x, True) → Aggressive($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Aggressive($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nAggressive('Fae', True)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Fae', True)\nAccording to the known fact: Dumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-424_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a rompus. Each dumpus is not hot. Dumpuses are rompuses. Each rompus is dull. Every rompus is a numpus. Every numpus is not orange. Each zumpus is fruity. Each numpus is a vumpus. Each vumpus is not fruity. Vumpuses are yumpuses. Yumpuses are luminous. Yumpuses are wumpuses. Wumpuses are small. Each wumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Hot($x, False)\nrule2: Dumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Dull($x, True)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Orange($x, False)\nrule6: Zumpus($x, True) → Fruity($x, True)\nrule7: Numpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Fruity($x, False)\nrule9: Vumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Luminous($x, True)\nrule11: Yumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Small($x, True)\nrule13: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Orange($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Fruity($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Polly', True)\nVumpus('Polly', True)\nYumpus('Polly', True)\nWumpus('Polly', True)\nDull('Polly', True)\nOrange('Polly', False)\nFruity('Polly', False)\nLuminous('Polly', True)\nSmall('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Polly', False)\nAccording to the known fact: Rompus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-408_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Impuses are bitter. Dumpuses are not temperate. Each impus is a yumpus. Yumpuses are amenable. Every yumpus is a wumpus. Each wumpus is small. Every wumpus is a numpus. Each numpus is opaque. Each numpus is a vumpus. Vumpuses are nervous. Vumpuses are jompuses. Jompuses are temperate. Every jompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Bitter($x, True)\nrule2: Dumpus($x, True) → Temperate($x, False)\nrule3: Impus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Amenable($x, True)\nrule5: Yumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Small($x, True)\nrule7: Wumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Opaque($x, True)\nrule9: Numpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Nervous($x, True)\nrule11: Vumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Temperate($x, True)\nrule13: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Fae', True)\nJompus('Fae', True)\nOpaque('Fae', True)\nNervous('Fae', True)\nTemperate('Fae', True)\nTumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Fae', True)\nAccording to the known fact: Numpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-234_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Yumpuses are not angry. Yumpuses are tumpuses. Each rompus is not dull. Each tumpus is dull. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Angry($x, False)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Rompus($x, True) → Dull($x, False)\nrule4: Tumpus($x, True) → Dull($x, True)\nrule5: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Angry($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nAngry('Sam', False)\nDull('Sam', True)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Sam', False)\nAccording to the implied fact: Dull('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-414_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Dumpuses are not mean. Each yumpus is red. Yumpuses are rompuses. Rompuses are dull. Every rompus is a vumpus. Vumpuses are hot. Every vumpus is an impus. Impuses are wooden. Each impus is a wumpus. Wumpuses are mean. Every wumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMean($x, bool) ::: Is x mean?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Mean($x, False)\nrule2: Yumpus($x, True) → Red($x, True)\nrule3: Yumpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Dull($x, True)\nrule5: Rompus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Hot($x, True)\nrule7: Vumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Wooden($x, True)\nrule9: Impus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Mean($x, True)\nrule11: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Yumpus($x, True) → Red($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Wooden($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Mean($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Mean('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Stella', True)\nVumpus('Stella', True)\nImpus('Stella', True)\nWumpus('Stella', True)\nRed('Stella', True)\nDull('Stella', True)\nHot('Stella', True)\nWooden('Stella', True)\nMean('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not hot.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHot('Stella', False)\nAccording to the implied fact: Hot('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-61_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a tumpus. Tumpuses are hot. Each zumpus is not hot. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Hot($x, True)\nrule2: Zumpus($x, True) → Hot($x, False)\nrule3: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nHot('Sally', True)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sally', True)\nAccording to the implied fact: Dumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-29_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Tumpuses are red. Every wumpus is not red. Each wumpus is a zumpus. Zumpuses are not temperate. Zumpuses are vumpuses. Vumpuses are not kind. Vumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Red($x, True)\nrule2: Wumpus($x, True) → Red($x, False)\nrule3: Wumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Temperate($x, False)\nrule5: Zumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Kind($x, False)\nrule7: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Wumpus($x, True) → Red($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Temperate($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Kind($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nVumpus('Fae', True)\nRed('Fae', False)\nTemperate('Fae', False)\nKind('Fae', False)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Fae', False)\nAccording to the implied fact: Red('Fae', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-149_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a jompus. Numpuses are wooden. Each rompus is not bright. Rompuses are tumpuses. Every tumpus is mean. Each tumpus is a jompus. Jompuses are not wooden. Jompuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nJompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Wooden($x, True)\nrule2: Rompus($x, True) → Bright($x, False)\nrule3: Rompus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Mean($x, True)\nrule5: Tumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Wooden($x, False)\nrule7: Jompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Jompus($x, True) → Wooden($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nWooden('Wren', False)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Wren', False)\nAccording to the implied fact: Wooden('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-322_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a rompus. Impuses are not cold. Rompuses are cold. Rompuses are dumpuses. Every dumpus is transparent. Every dumpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Cold($x, False)\nrule2: Rompus($x, True) → Cold($x, True)\nrule3: Rompus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Transparent($x, True)\nrule5: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Rompus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nDumpus('Rex', True)\nCold('Rex', True)\nTransparent('Rex', True)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Rex', True)\nAccording to the implied fact: Cold('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-269_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a jompus. Each jompus is dull. Jompuses are impuses. Impuses are not liquid. Impuses are tumpuses. Vumpuses are not small. Tumpuses are small. Each tumpus is a zumpus. Zumpuses are not aggressive. Zumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Dull($x, True)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Liquid($x, False)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Vumpus($x, True) → Small($x, False)\nrule6: Tumpus($x, True) → Small($x, True)\nrule7: Tumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Aggressive($x, False)\nrule9: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Liquid($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Tumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Aggressive($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Aggressive('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Alex', True)\nTumpus('Alex', True)\nZumpus('Alex', True)\nDull('Alex', True)\nLiquid('Alex', False)\nSmall('Alex', True)\nAggressive('Alex', False)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Alex', True)\nAccording to the implied fact: Small('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-8_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Each zumpus is not hot. Zumpuses are tumpuses. Every tumpus is not angry. Every tumpus is a numpus. Numpuses are not bitter. Numpuses are rompuses. Each rompus is nervous. Rompuses are jompuses. Each impus is floral. Jompuses are bright. Every jompus is a yumpus. Yumpuses are metallic. Yumpuses are dumpuses. Dumpuses are not floral. Each dumpus is a wumpus. Wumpuses are small. Wumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Hot($x, False)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Angry($x, False)\nrule4: Tumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Bitter($x, False)\nrule6: Numpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Nervous($x, True)\nrule8: Rompus($x, True) → Jompus($x, True)\nrule9: Impus($x, True) → Floral($x, True)\nrule10: Jompus($x, True) → Bright($x, True)\nrule11: Jompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Metallic($x, True)\nrule13: Yumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Floral($x, False)\nrule15: Dumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Small($x, True)\nrule17: Wumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Jompus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nDumpus('Sam', True)\nWumpus('Sam', True)\nBright('Sam', True)\nMetallic('Sam', True)\nFloral('Sam', False)\nSmall('Sam', True)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Sam', True)\nAccording to the implied fact: Metallic('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-360_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Numpuses are transparent. Every numpus is a rompus. Every rompus is wooden. Each impus is not amenable. Rompuses are zumpuses. Every zumpus is sour. Every zumpus is a jompus. Jompuses are happy. Jompuses are dumpuses. Each dumpus is amenable. Each dumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Transparent($x, True)\nrule2: Numpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Wooden($x, True)\nrule4: Impus($x, True) → Amenable($x, False)\nrule5: Rompus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Sour($x, True)\nrule7: Zumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Happy($x, True)\nrule9: Jompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Amenable($x, True)\nrule11: Dumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Jompus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Amenable($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nHappy('Sally', True)\nAmenable('Sally', True)\nVumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sally', True)\nAccording to the known fact: Jompus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-176_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Each rompus is bright. Rompuses are yumpuses. Every tumpus is orange. Each yumpus is not orange. Every yumpus is a numpus. Numpuses are not large. Numpuses are dumpuses. Each dumpus is opaque. Dumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, True)\nrule2: Rompus($x, True) → Yumpus($x, True)\nrule3: Tumpus($x, True) → Orange($x, True)\nrule4: Yumpus($x, True) → Orange($x, False)\nrule5: Yumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Large($x, False)\nrule7: Numpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Opaque($x, True)\nrule9: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Yumpus($x, True) → Orange($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Large($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Polly', True)\nDumpus('Polly', True)\nOrange('Polly', False)\nLarge('Polly', False)\nOpaque('Polly', True)\nJompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Polly', True)\nAccording to the implied fact: Large('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-376_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Dumpuses are transparent. Dumpuses are impuses. Impuses are not nervous. Impuses are rompuses. Vumpuses are angry. Each rompus is brown. Each rompus is a zumpus. Zumpuses are not floral. Zumpuses are wumpuses. Every wumpus is not angry. Wumpuses are jompuses. Jompuses are hot. Each jompus is a numpus. Every numpus is liquid. Numpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAngry($x, bool) ::: Is x angry?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Transparent($x, True)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Nervous($x, False)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Vumpus($x, True) → Angry($x, True)\nrule6: Rompus($x, True) → Brown($x, True)\nrule7: Rompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Floral($x, False)\nrule9: Zumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Angry($x, False)\nrule11: Wumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Hot($x, True)\nrule13: Jompus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Liquid($x, True)\nrule15: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Nervous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Rompus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Floral($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Angry($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Angry('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nZumpus('Alex', True)\nWumpus('Alex', True)\nJompus('Alex', True)\nNumpus('Alex', True)\nNervous('Alex', False)\nBrown('Alex', True)\nFloral('Alex', False)\nAngry('Alex', False)\nHot('Alex', True)\nLiquid('Alex', True)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Alex', True)\nAccording to the implied fact: Yumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-112_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Each rompus is not cold. Each tumpus is earthy. Each tumpus is a vumpus. Vumpuses are not bright. Vumpuses are zumpuses. Zumpuses are cold. Each zumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Cold($x, False)\nrule2: Tumpus($x, True) → Earthy($x, True)\nrule3: Tumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Bright($x, False)\nrule5: Vumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Cold($x, True)\nrule7: Zumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nCold('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sam', False)\nAccording to the known fact: Zumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-223_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a rompus. Each rompus is not metallic. Every rompus is a jompus. Jompuses are not earthy. Jompuses are tumpuses. Tumpuses are bright. Tumpuses are vumpuses. Vumpuses are spicy. Each impus is not spicy. Each vumpus is a yumpus. Yumpuses are not cold. Yumpuses are zumpuses. Each zumpus is orange. Every zumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Metallic($x, False)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Earthy($x, False)\nrule4: Jompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Bright($x, True)\nrule6: Tumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Spicy($x, True)\nrule8: Impus($x, True) → Spicy($x, False)\nrule9: Vumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Cold($x, False)\nrule11: Yumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Orange($x, True)\nrule13: Zumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Metallic($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Earthy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Cold($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Orange($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nTumpus('Rex', True)\nVumpus('Rex', True)\nYumpus('Rex', True)\nZumpus('Rex', True)\nMetallic('Rex', False)\nEarthy('Rex', False)\nBright('Rex', True)\nSpicy('Rex', True)\nCold('Rex', False)\nOrange('Rex', True)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Rex', True)\nAccording to the implied fact: Metallic('Rex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-119_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Dumpuses are mean. Every dumpus is an impus. Impuses are not orange. Impuses are wumpuses. Each wumpus is nervous. Every wumpus is a zumpus. Each zumpus is sweet. Zumpuses are rompuses. Jompuses are earthy. Rompuses are not earthy. Rompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Mean($x, True)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Orange($x, False)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Nervous($x, True)\nrule6: Wumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Sweet($x, True)\nrule8: Zumpus($x, True) → Rompus($x, True)\nrule9: Jompus($x, True) → Earthy($x, True)\nrule10: Rompus($x, True) → Earthy($x, False)\nrule11: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Mean($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Mean('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Orange($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Rompus($x, True) → Earthy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Fae', True)\nWumpus('Fae', True)\nZumpus('Fae', True)\nRompus('Fae', True)\nMean('Fae', True)\nOrange('Fae', False)\nNervous('Fae', True)\nSweet('Fae', True)\nEarthy('Fae', False)\nNumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', True)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-206_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Dumpuses are brown. Dumpuses are impuses. Every wumpus is not spicy. Impuses are opaque. Every impus is a numpus. Each numpus is temperate. Each numpus is a rompus. Each rompus is not liquid. Rompuses are tumpuses. Each tumpus is earthy. Tumpuses are yumpuses. Yumpuses are spicy. Yumpuses are zumpuses. Zumpuses are dull. Every zumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Brown($x, True)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Wumpus($x, True) → Spicy($x, False)\nrule4: Impus($x, True) → Opaque($x, True)\nrule5: Impus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Temperate($x, True)\nrule7: Numpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Liquid($x, False)\nrule9: Rompus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Earthy($x, True)\nrule11: Tumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Spicy($x, True)\nrule13: Yumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Dull($x, True)\nrule15: Zumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nZumpus('Alex', True)\nEarthy('Alex', True)\nSpicy('Alex', True)\nDull('Alex', True)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Alex', True)\nAccording to the implied fact: Vumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-124_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Zumpuses are not red. Every zumpus is a tumpus. Tumpuses are not hot. Tumpuses are numpuses. Numpuses are liquid. Every rompus is not dull. Numpuses are wumpuses. Wumpuses are fruity. Every wumpus is an impus. Each impus is dull. Impuses are vumpuses. Vumpuses are not large. Vumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Red($x, False)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Hot($x, False)\nrule4: Tumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Liquid($x, True)\nrule6: Rompus($x, True) → Dull($x, False)\nrule7: Numpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Fruity($x, True)\nrule9: Wumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Dull($x, True)\nrule11: Impus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Large($x, False)\nrule13: Vumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Impus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Large($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nDull('Wren', True)\nLarge('Wren', False)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Wren', True)\nAccording to the implied fact: Dumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-365_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Wumpuses are fruity. Wumpuses are jompuses. Jompuses are blue. Each jompus is a zumpus. Yumpuses are opaque. Zumpuses are feisty. Zumpuses are dumpuses. Dumpuses are not opaque. Each dumpus is a numpus. Numpuses are sour. Numpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Fruity($x, True)\nrule2: Wumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Blue($x, True)\nrule4: Jompus($x, True) → Zumpus($x, True)\nrule5: Yumpus($x, True) → Opaque($x, True)\nrule6: Zumpus($x, True) → Feisty($x, True)\nrule7: Zumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Opaque($x, False)\nrule9: Dumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Sour($x, True)\nrule11: Numpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Zumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Sour($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nDumpus('Rex', True)\nNumpus('Rex', True)\nBlue('Rex', True)\nFeisty('Rex', True)\nOpaque('Rex', False)\nSour('Rex', True)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', True)\nAccording to the implied fact: Zumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-54_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Every vumpus is not metallic. Vumpuses are dumpuses. Every dumpus is not opaque. Every dumpus is a zumpus. Every zumpus is not blue. Zumpuses are yumpuses. Yumpuses are dull. Yumpuses are jompuses. Numpuses are blue. Every jompus is feisty. Jompuses are impuses. Impuses are cold. Each impus is a tumpus. Tumpuses are large. Each tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Metallic($x, False)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Opaque($x, False)\nrule4: Dumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Blue($x, False)\nrule6: Zumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Dull($x, True)\nrule8: Yumpus($x, True) → Jompus($x, True)\nrule9: Numpus($x, True) → Blue($x, True)\nrule10: Jompus($x, True) → Feisty($x, True)\nrule11: Jompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Cold($x, True)\nrule13: Impus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Large($x, True)\nrule15: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Blue($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Jompus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nYumpus('Sam', True)\nJompus('Sam', True)\nImpus('Sam', True)\nTumpus('Sam', True)\nOpaque('Sam', False)\nBlue('Sam', False)\nDull('Sam', True)\nFeisty('Sam', True)\nCold('Sam', True)\nLarge('Sam', True)\nWumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Sam', True)\nAccording to the implied fact: Blue('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-101_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Tumpuses are small. Tumpuses are dumpuses. Dumpuses are not sour. Every dumpus is a jompus. Every jompus is transparent. Jompuses are impuses. Every impus is cold. Every impus is a yumpus. Yumpuses are not floral. Each yumpus is a vumpus. Vumpuses are happy. Every vumpus is a wumpus. Wumpuses are not wooden. Each wumpus is a rompus. Rompuses are not kind. Rompuses are zumpuses. Numpuses are floral.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Small($x, True)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Sour($x, False)\nrule4: Dumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Transparent($x, True)\nrule6: Jompus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Cold($x, True)\nrule8: Impus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Floral($x, False)\nrule10: Yumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Happy($x, True)\nrule12: Vumpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Wooden($x, False)\nrule14: Wumpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Kind($x, False)\nrule16: Rompus($x, True) → Zumpus($x, True)\nrule17: Numpus($x, True) → Floral($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Sour($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Cold($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Floral($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Happy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Kind($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nJompus('Fae', True)\nImpus('Fae', True)\nYumpus('Fae', True)\nVumpus('Fae', True)\nWumpus('Fae', True)\nRompus('Fae', True)\nSmall('Fae', True)\nSour('Fae', False)\nTransparent('Fae', True)\nCold('Fae', True)\nFloral('Fae', False)\nHappy('Fae', True)\nWooden('Fae', False)\nKind('Fae', False)\nZumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Fae', True)\nAccording to the implied fact: Cold('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-118_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Each yumpus is spicy. Every yumpus is a zumpus. Zumpuses are dull. Zumpuses are tumpuses. Jompuses are small. Every tumpus is floral. Tumpuses are rompuses. Each rompus is opaque. Each rompus is a wumpus. Each wumpus is not small. Wumpuses are dumpuses. Dumpuses are feisty. Each dumpus is an impus. Impuses are not temperate. Impuses are numpuses. Numpuses are blue. Every numpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Spicy($x, True)\nrule2: Yumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Dull($x, True)\nrule4: Zumpus($x, True) → Tumpus($x, True)\nrule5: Jompus($x, True) → Small($x, True)\nrule6: Tumpus($x, True) → Floral($x, True)\nrule7: Tumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Opaque($x, True)\nrule9: Rompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Small($x, False)\nrule11: Wumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Feisty($x, True)\nrule13: Dumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Temperate($x, False)\nrule15: Impus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Blue($x, True)\nrule17: Numpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Spicy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Spicy('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Tumpus($x, True) → Floral($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Temperate($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Blue($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nTumpus('Stella', True)\nRompus('Stella', True)\nWumpus('Stella', True)\nDumpus('Stella', True)\nImpus('Stella', True)\nNumpus('Stella', True)\nSpicy('Stella', True)\nDull('Stella', True)\nFloral('Stella', True)\nOpaque('Stella', True)\nSmall('Stella', False)\nFeisty('Stella', True)\nTemperate('Stella', False)\nBlue('Stella', True)\nVumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Stella', False)\nAccording to the implied fact: Rompus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-271_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Dumpuses are opaque. Each dumpus is a jompus. Each jompus is temperate. Jompuses are numpuses. Each numpus is blue. Each numpus is a zumpus. Each zumpus is fruity. Zumpuses are vumpuses. Vumpuses are not luminous. Each vumpus is a tumpus. Tumpuses are not happy. Tumpuses are yumpuses. Impuses are luminous. Every yumpus is small. Every yumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Temperate($x, True)\nrule4: Jompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Blue($x, True)\nrule6: Numpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Fruity($x, True)\nrule8: Zumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Luminous($x, False)\nrule10: Vumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Happy($x, False)\nrule12: Tumpus($x, True) → Yumpus($x, True)\nrule13: Impus($x, True) → Luminous($x, True)\nrule14: Yumpus($x, True) → Small($x, True)\nrule15: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Luminous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Happy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Yumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nVumpus('Alex', True)\nTumpus('Alex', True)\nYumpus('Alex', True)\nBlue('Alex', True)\nFruity('Alex', True)\nLuminous('Alex', False)\nHappy('Alex', False)\nSmall('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Alex', False)\nAccording to the implied fact: Vumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-467_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Every jompus is not large. Each jompus is a tumpus. Each tumpus is liquid. Each tumpus is a dumpus. Dumpuses are temperate. Yumpuses are not transparent. Every dumpus is a vumpus. Vumpuses are dull. Each vumpus is a zumpus. Zumpuses are happy. Zumpuses are wumpuses. Each wumpus is transparent. Wumpuses are rompuses. Rompuses are kind. Each rompus is a numpus. Every numpus is red. Every numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Large($x, False)\nrule2: Jompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Liquid($x, True)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Temperate($x, True)\nrule6: Yumpus($x, True) → Transparent($x, False)\nrule7: Dumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Dull($x, True)\nrule9: Vumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Happy($x, True)\nrule11: Zumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Transparent($x, True)\nrule13: Wumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Kind($x, True)\nrule15: Rompus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Red($x, True)\nrule17: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Kind($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Red($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Red('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nNumpus('Alex', True)\nTransparent('Alex', True)\nKind('Alex', True)\nRed('Alex', True)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Alex', False)\nAccording to the implied fact: Red('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-263_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Every tumpus is sweet. Each tumpus is a vumpus. Vumpuses are not temperate. Every vumpus is an impus. Every numpus is not nervous. Impuses are not small. Each impus is a zumpus. Each zumpus is mean. Zumpuses are rompuses. Every rompus is wooden. Every rompus is a jompus. Every jompus is floral. Every jompus is a dumpus. Each dumpus is nervous. Every dumpus is a yumpus. Every yumpus is transparent. Yumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Sweet($x, True)\nrule2: Tumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Temperate($x, False)\nrule4: Vumpus($x, True) → Impus($x, True)\nrule5: Numpus($x, True) → Nervous($x, False)\nrule6: Impus($x, True) → Small($x, False)\nrule7: Impus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Mean($x, True)\nrule9: Zumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Wooden($x, True)\nrule11: Rompus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Floral($x, True)\nrule13: Jompus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Nervous($x, True)\nrule15: Dumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Transparent($x, True)\nrule17: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nNervous('Max', True)\nTransparent('Max', True)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Max', False)\nAccording to the implied fact: Wumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-182_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Vumpuses are dull. Every tumpus is happy. Tumpuses are zumpuses. Zumpuses are not dull. Zumpuses are rompuses. Rompuses are red. Rompuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Dull($x, True)\nrule2: Tumpus($x, True) → Happy($x, True)\nrule3: Tumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Dull($x, False)\nrule5: Zumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Red($x, True)\nrule7: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Zumpus($x, True) → Dull($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Red($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nDull('Wren', False)\nRed('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Wren', True)\nAccording to the implied fact: Dull('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-246_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Tumpuses are not large. Tumpuses are numpuses. Impuses are large.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Large($x, False)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Impus($x, True) → Large($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nLarge('Rex', False)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Rex', False)\nAccording to the implied fact: Large('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-362_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a rompus. Each rompus is hot. Every rompus is a vumpus. Each vumpus is small. Every vumpus is a wumpus. Each wumpus is not luminous. Wumpuses are impuses. Dumpuses are luminous. Every impus is not earthy. Impuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Hot($x, True)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Small($x, True)\nrule4: Vumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Luminous($x, False)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Dumpus($x, True) → Luminous($x, True)\nrule8: Impus($x, True) → Earthy($x, False)\nrule9: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Luminous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Impus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nWumpus('Sally', True)\nImpus('Sally', True)\nHot('Sally', True)\nSmall('Sally', True)\nLuminous('Sally', False)\nEarthy('Sally', False)\nNumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sally', True)\nAccording to the implied fact: Numpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-410_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a tumpus. Every wumpus is wooden. Each wumpus is a tumpus. Tumpuses are dull. Tumpuses are impuses. Every impus is sour. Every impus is a jompus. Every jompus is fruity. Every jompus is a yumpus. Yumpuses are amenable. Vumpuses are cold. Yumpuses are numpuses. Each numpus is not cold. Each numpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nTumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Wooden($x, True)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Dull($x, True)\nrule4: Tumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Sour($x, True)\nrule6: Impus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Fruity($x, True)\nrule8: Jompus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Amenable($x, True)\nrule10: Vumpus($x, True) → Cold($x, True)\nrule11: Yumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Cold($x, False)\nrule13: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Sour($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Amenable($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Cold($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nJompus('Wren', True)\nYumpus('Wren', True)\nNumpus('Wren', True)\nDull('Wren', True)\nSour('Wren', True)\nFruity('Wren', True)\nAmenable('Wren', True)\nCold('Wren', False)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Wren', False)\nAccording to the known fact: Tumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-254_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Every tumpus is not sweet. Wumpuses are sweet. Each wumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Sweet($x, False)\nrule2: Wumpus($x, True) → Sweet($x, True)\nrule3: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Wumpus($x, True) → Sweet($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nSweet('Max', True)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Max', False)\nAccording to the implied fact: Numpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-28_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Impuses are happy. Every numpus is fruity. Each numpus is a rompus. Each rompus is not amenable. Each rompus is a tumpus. Each tumpus is not temperate. Tumpuses are jompuses. Jompuses are brown. Jompuses are wumpuses. Wumpuses are not happy. Wumpuses are zumpuses. Each zumpus is bright. Every zumpus is a vumpus. Vumpuses are bitter. Vumpuses are yumpuses. Every yumpus is transparent. Every yumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAmenable($x, bool) ::: Is x amenable?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Happy($x, True)\nrule2: Numpus($x, True) → Fruity($x, True)\nrule3: Numpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Amenable($x, False)\nrule5: Rompus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Temperate($x, False)\nrule7: Tumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Brown($x, True)\nrule9: Jompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Happy($x, False)\nrule11: Wumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Bright($x, True)\nrule13: Zumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Bitter($x, True)\nrule15: Vumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Transparent($x, True)\nrule17: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Amenable($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Temperate($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Brown($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Happy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nTumpus('Sally', True)\nJompus('Sally', True)\nWumpus('Sally', True)\nZumpus('Sally', True)\nVumpus('Sally', True)\nYumpus('Sally', True)\nFruity('Sally', True)\nAmenable('Sally', False)\nTemperate('Sally', False)\nBrown('Sally', True)\nHappy('Sally', False)\nBright('Sally', True)\nBitter('Sally', True)\nTransparent('Sally', True)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Sally', False)\nAccording to the implied fact: Temperate('Sally', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-308_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Dumpuses are wooden. Each impus is hot. Dumpuses are rompuses. Each rompus is fruity. Each rompus is a vumpus. Vumpuses are opaque. Every vumpus is a jompus. Jompuses are not small. Each jompus is a wumpus. Every wumpus is not orange. Wumpuses are yumpuses. Yumpuses are bitter. Yumpuses are numpuses. Each numpus is not hot. Numpuses are zumpuses. Every zumpus is angry. Zumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Wooden($x, True)\nrule2: Impus($x, True) → Hot($x, True)\nrule3: Dumpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Fruity($x, True)\nrule5: Rompus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Opaque($x, True)\nrule7: Vumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Small($x, False)\nrule9: Jompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Orange($x, False)\nrule11: Wumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Bitter($x, True)\nrule13: Yumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Hot($x, False)\nrule15: Numpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Angry($x, True)\nrule17: Zumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Orange($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Bitter($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bitter('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Hot($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Angry($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Angry('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Stella', True)\nWumpus('Stella', True)\nYumpus('Stella', True)\nNumpus('Stella', True)\nZumpus('Stella', True)\nOpaque('Stella', True)\nSmall('Stella', False)\nOrange('Stella', False)\nBitter('Stella', True)\nHot('Stella', False)\nAngry('Stella', True)\nTumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Stella', False)\nAccording to the implied fact: Orange('Stella', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-432_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Impuses are small. Wumpuses are liquid. Every impus is a jompus. Every jompus is not liquid. Jompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Small($x, True)\nrule2: Wumpus($x, True) → Liquid($x, True)\nrule3: Impus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Liquid($x, False)\nrule5: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Impus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Liquid($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nSmall('Max', True)\nLiquid('Max', False)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Max', True)\nAccording to the implied fact: Small('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-498_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is an impus. Impuses are opaque. Impuses are zumpuses. Every zumpus is orange. Every zumpus is a rompus. Each rompus is not earthy. Each rompus is a vumpus. Every vumpus is hot. Each vumpus is a wumpus. Wumpuses are dull. Every wumpus is a tumpus. Each tumpus is small. Tumpuses are jompuses. Each jompus is luminous. Jompuses are yumpuses. Yumpuses are shy. Every yumpus is a numpus. Dumpuses are not dull.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Opaque($x, True)\nrule2: Impus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Orange($x, True)\nrule4: Zumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Earthy($x, False)\nrule6: Rompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Hot($x, True)\nrule8: Vumpus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Dull($x, True)\nrule10: Wumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Small($x, True)\nrule12: Tumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Luminous($x, True)\nrule14: Jompus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Shy($x, True)\nrule16: Yumpus($x, True) → Numpus($x, True)\nrule17: Dumpus($x, True) → Dull($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Earthy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Hot($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nRompus('Polly', True)\nVumpus('Polly', True)\nWumpus('Polly', True)\nTumpus('Polly', True)\nJompus('Polly', True)\nYumpus('Polly', True)\nOpaque('Polly', True)\nOrange('Polly', True)\nEarthy('Polly', False)\nHot('Polly', True)\nDull('Polly', True)\nSmall('Polly', True)\nLuminous('Polly', True)\nShy('Polly', True)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Polly', False)\nAccording to the implied fact: Dull('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-106_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Every rompus is transparent. Every rompus is a jompus. Every jompus is fruity. Jompuses are zumpuses. Zumpuses are brown. Each zumpus is a numpus. Each numpus is bitter. Each yumpus is not wooden. Numpuses are impuses. Every impus is wooden. Impuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Transparent($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Fruity($x, True)\nrule4: Jompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Brown($x, True)\nrule6: Zumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Bitter($x, True)\nrule8: Yumpus($x, True) → Wooden($x, False)\nrule9: Numpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Wooden($x, True)\nrule11: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Fruity($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Brown($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Numpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Wooden($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nZumpus('Fae', True)\nNumpus('Fae', True)\nImpus('Fae', True)\nTransparent('Fae', True)\nFruity('Fae', True)\nBrown('Fae', True)\nBitter('Fae', True)\nWooden('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Fae', True)\nAccording to the implied fact: Brown('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-456_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Every wumpus is large. Every impus is cold. Wumpuses are jompuses. Every jompus is earthy. Each jompus is a dumpus. Dumpuses are metallic. Dumpuses are numpuses. Every numpus is opaque. Each numpus is a zumpus. Each zumpus is dull. Each zumpus is a vumpus. Vumpuses are not cold. Vumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Large($x, True)\nrule2: Impus($x, True) → Cold($x, True)\nrule3: Wumpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Earthy($x, True)\nrule5: Jompus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Metallic($x, True)\nrule7: Dumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Opaque($x, True)\nrule9: Numpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Dull($x, True)\nrule11: Zumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Cold($x, False)\nrule13: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Dumpus($x, True) → Metallic($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Metallic('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Cold($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nZumpus('Max', True)\nVumpus('Max', True)\nMetallic('Max', True)\nOpaque('Max', True)\nDull('Max', True)\nCold('Max', False)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Max', True)\nAccording to the implied fact: Numpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-368_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a numpus. Tumpuses are opaque. Each tumpus is a numpus. Numpuses are small. Each zumpus is not bitter. Each numpus is a vumpus. Each vumpus is cold. Vumpuses are jompuses. Every jompus is not bright. Each jompus is a wumpus. Each wumpus is bitter. Each wumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Opaque($x, True)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Small($x, True)\nrule4: Zumpus($x, True) → Bitter($x, False)\nrule5: Numpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Cold($x, True)\nrule7: Vumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Bright($x, False)\nrule9: Jompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Bitter($x, True)\nrule11: Wumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Bright($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Sam', True)\nJompus('Sam', True)\nWumpus('Sam', True)\nSmall('Sam', True)\nCold('Sam', True)\nBright('Sam', False)\nBitter('Sam', True)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sam', True)\nAccording to the implied fact: Vumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-273_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Each wumpus is transparent. Every wumpus is a zumpus. Every zumpus is bright. Zumpuses are yumpuses. Every yumpus is metallic. Yumpuses are rompuses. Rompuses are kind. Dumpuses are orange. Rompuses are impuses. Impuses are not orange. Each impus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Transparent($x, True)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Bright($x, True)\nrule4: Zumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Metallic($x, True)\nrule6: Yumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Kind($x, True)\nrule8: Dumpus($x, True) → Orange($x, True)\nrule9: Rompus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Orange($x, False)\nrule11: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Kind($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Kind('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Orange($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nRompus('Sam', True)\nImpus('Sam', True)\nBright('Sam', True)\nMetallic('Sam', True)\nKind('Sam', True)\nOrange('Sam', False)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', True)\nAccording to the implied fact: Rompus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-219_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is an impus. Impuses are bitter. Each impus is a dumpus. Numpuses are wooden. Each dumpus is not wooden. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nImpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Bitter($x, True)\nrule2: Impus($x, True) → Dumpus($x, True)\nrule3: Numpus($x, True) → Wooden($x, True)\nrule4: Dumpus($x, True) → Wooden($x, False)\nrule5: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Dumpus($x, True) → Wooden($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nDumpus('Rex', True)\nBitter('Rex', True)\nWooden('Rex', False)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Rex', True)\nAccording to the implied fact: Bitter('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-287_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a numpus. Each tumpus is not hot. Each tumpus is a zumpus. Each zumpus is red. Each vumpus is opaque. Zumpuses are dumpuses. Each dumpus is not small. Every dumpus is a numpus. Every numpus is not opaque. Numpuses are rompuses. Rompuses are not wooden. Rompuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nNumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Hot($x, False)\nrule2: Tumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Red($x, True)\nrule4: Vumpus($x, True) → Opaque($x, True)\nrule5: Zumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Small($x, False)\nrule7: Dumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Opaque($x, False)\nrule9: Numpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Wooden($x, False)\nrule11: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Numpus($x, True) → Opaque($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Wooden($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nOpaque('Wren', False)\nWooden('Wren', False)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Wren', True)\nAccording to the implied fact: Wooden('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-28_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Impuses are transparent. Impuses are dumpuses. Every dumpus is not sweet. Dumpuses are tumpuses. Tumpuses are not wooden. Each tumpus is a numpus. Each numpus is not cold. Numpuses are rompuses. Every rompus is brown. Each rompus is a vumpus. Each vumpus is not bright. Vumpuses are yumpuses. Wumpuses are kind. Every yumpus is not kind. Each yumpus is a zumpus. Each zumpus is not floral. Each zumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Transparent($x, True)\nrule2: Impus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Sweet($x, False)\nrule4: Dumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Wooden($x, False)\nrule6: Tumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Cold($x, False)\nrule8: Numpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Brown($x, True)\nrule10: Rompus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Bright($x, False)\nrule12: Vumpus($x, True) → Yumpus($x, True)\nrule13: Wumpus($x, True) → Kind($x, True)\nrule14: Yumpus($x, True) → Kind($x, False)\nrule15: Yumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Floral($x, False)\nrule17: Zumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Vumpus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Yumpus($x, True) → Kind($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Floral($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nZumpus('Wren', True)\nBright('Wren', False)\nKind('Wren', False)\nFloral('Wren', False)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Wren', True)\nAccording to the implied fact: Jompus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-350_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Each zumpus is cold. Every rompus is amenable. Rompuses are dumpuses. Dumpuses are nervous. Dumpuses are wumpuses. Wumpuses are luminous. Each wumpus is a vumpus. Each vumpus is not cold. Every vumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Cold($x, True)\nrule2: Rompus($x, True) → Amenable($x, True)\nrule3: Rompus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Nervous($x, True)\nrule5: Dumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Luminous($x, True)\nrule7: Wumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Cold($x, False)\nrule9: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Rompus($x, True) → Amenable($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Cold($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nWumpus('Sam', True)\nVumpus('Sam', True)\nAmenable('Sam', True)\nNervous('Sam', True)\nLuminous('Sam', True)\nCold('Sam', False)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', False)\nAccording to the implied fact: Wumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-87_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Every numpus is shy. Every numpus is an impus. Dumpuses are not bright. Every impus is floral. Every impus is a yumpus. Yumpuses are not small. Every yumpus is a zumpus. Zumpuses are amenable. Each zumpus is a jompus. Each jompus is bright. Jompuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Shy($x, True)\nrule2: Numpus($x, True) → Impus($x, True)\nrule3: Dumpus($x, True) → Bright($x, False)\nrule4: Impus($x, True) → Floral($x, True)\nrule5: Impus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Small($x, False)\nrule7: Yumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Amenable($x, True)\nrule9: Zumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Bright($x, True)\nrule11: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Zumpus($x, True) → Amenable($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nAmenable('Sally', True)\nBright('Sally', True)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Sally', False)\nAccording to the implied fact: Amenable('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-275_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Jompuses are nervous. Impuses are bright. Every jompus is a dumpus. Each dumpus is not metallic. Each dumpus is a wumpus. Each wumpus is large. Wumpuses are rompuses. Each rompus is not bright. Rompuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Nervous($x, True)\nrule2: Impus($x, True) → Bright($x, True)\nrule3: Jompus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Metallic($x, False)\nrule5: Dumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Large($x, True)\nrule7: Wumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Bright($x, False)\nrule9: Rompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Dumpus($x, True) → Metallic($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nRompus('Sally', True)\nMetallic('Sally', False)\nLarge('Sally', True)\nBright('Sally', False)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Sally', True)\nAccording to the implied fact: Large('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-258_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Dumpuses are not shy. Impuses are shy. Each dumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Shy($x, False)\nrule2: Impus($x, True) → Shy($x, True)\nrule3: Dumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Shy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nShy('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Max', True)\nAccording to the implied fact: Wumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-352_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Jompuses are not red. Every jompus is a dumpus. Each zumpus is red.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Red($x, False)\nrule2: Jompus($x, True) → Dumpus($x, True)\nrule3: Zumpus($x, True) → Red($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Red($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Red('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nRed('Sally', False)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sally', True)\nAccording to the implied fact: Dumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-253_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Tumpuses are red. Tumpuses are dumpuses. Each dumpus is opaque. Each dumpus is an impus. Each numpus is not angry. Impuses are not nervous. Every impus is a jompus. Jompuses are angry. Jompuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAngry($x, bool) ::: Is x angry?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Red($x, True)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Opaque($x, True)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Numpus($x, True) → Angry($x, False)\nrule6: Impus($x, True) → Nervous($x, False)\nrule7: Impus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Angry($x, True)\nrule9: Jompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Impus($x, True) → Nervous($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Angry($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nNervous('Wren', False)\nAngry('Wren', True)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is angry.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAngry('Wren', True)\nAccording to the implied fact: Angry('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-405_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a dumpus. Each jompus is nervous. Jompuses are dumpuses. Dumpuses are dull. Every dumpus is a tumpus. Every tumpus is sour. Tumpuses are numpuses. Numpuses are cold. Numpuses are vumpuses. Vumpuses are kind. Each vumpus is a rompus. Each yumpus is liquid. Each rompus is not liquid. Each rompus is a zumpus. Zumpuses are not orange. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Nervous($x, True)\nrule2: Jompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Dull($x, True)\nrule4: Dumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Sour($x, True)\nrule6: Tumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Cold($x, True)\nrule8: Numpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Kind($x, True)\nrule10: Vumpus($x, True) → Rompus($x, True)\nrule11: Yumpus($x, True) → Liquid($x, True)\nrule12: Rompus($x, True) → Liquid($x, False)\nrule13: Rompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Orange($x, False)\nrule15: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Sour($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sour('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Kind($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Rompus($x, True) → Liquid($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Liquid('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Orange($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nNumpus('Stella', True)\nVumpus('Stella', True)\nRompus('Stella', True)\nZumpus('Stella', True)\nDull('Stella', True)\nSour('Stella', True)\nCold('Stella', True)\nKind('Stella', True)\nLiquid('Stella', False)\nOrange('Stella', False)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Stella', False)\nAccording to the implied fact: Rompus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-333_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a jompus. Each jompus is not dull. Jompuses are tumpuses. Each tumpus is not metallic. Tumpuses are numpuses. Impuses are metallic.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Dull($x, False)\nrule2: Jompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Metallic($x, False)\nrule4: Tumpus($x, True) → Numpus($x, True)\nrule5: Impus($x, True) → Metallic($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Metallic($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nDull('Alex', False)\nMetallic('Alex', False)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Alex', True)\nAccording to the implied fact: Metallic('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-61_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Yumpuses are not opaque. Yumpuses are dumpuses. Each dumpus is bright. Dumpuses are wumpuses. Every wumpus is sour. Wumpuses are impuses. Numpuses are not sour. Every impus is large. Each impus is a rompus. Each rompus is not luminous. Rompuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Opaque($x, False)\nrule2: Yumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Bright($x, True)\nrule4: Dumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Sour($x, True)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Numpus($x, True) → Sour($x, False)\nrule8: Impus($x, True) → Large($x, True)\nrule9: Impus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Luminous($x, False)\nrule11: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Opaque($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Sour($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Sour('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Impus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Luminous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nWumpus('Polly', True)\nImpus('Polly', True)\nRompus('Polly', True)\nOpaque('Polly', False)\nBright('Polly', True)\nSour('Polly', True)\nLarge('Polly', True)\nLuminous('Polly', False)\nJompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Polly', False)\nAccording to the implied fact: Luminous('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-267_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Each tumpus is not feisty. Numpuses are feisty. Every numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Feisty($x, False)\nrule2: Numpus($x, True) → Feisty($x, True)\nrule3: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nFeisty('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Fae', True)\nAccording to the known fact: Numpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-495_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Vumpuses are cold. Every vumpus is a wumpus. Dumpuses are fruity. Wumpuses are not fruity. Wumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Cold($x, True)\nrule2: Vumpus($x, True) → Wumpus($x, True)\nrule3: Dumpus($x, True) → Fruity($x, True)\nrule4: Wumpus($x, True) → Fruity($x, False)\nrule5: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Fruity($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nFruity('Alex', False)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Alex', True)\nAccording to the implied fact: Impus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-418_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Tumpuses are not liquid. Tumpuses are yumpuses. Every yumpus is amenable. Yumpuses are rompuses. Every rompus is not floral. Each rompus is a dumpus. Every dumpus is not small. Each zumpus is opaque. Dumpuses are wumpuses. Wumpuses are not opaque. Every wumpus is a vumpus. Vumpuses are sour. Vumpuses are impuses. Impuses are not bright. Impuses are numpuses. Numpuses are nervous. Each numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Liquid($x, False)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Amenable($x, True)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Floral($x, False)\nrule6: Rompus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Small($x, False)\nrule8: Zumpus($x, True) → Opaque($x, True)\nrule9: Dumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Opaque($x, False)\nrule11: Wumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Sour($x, True)\nrule13: Vumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Bright($x, False)\nrule15: Impus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Nervous($x, True)\nrule17: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Dumpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Sour($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Nervous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Max', True)\nVumpus('Max', True)\nImpus('Max', True)\nNumpus('Max', True)\nSmall('Max', False)\nOpaque('Max', False)\nSour('Max', True)\nBright('Max', False)\nNervous('Max', True)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Max', False)\nAccording to the implied fact: Numpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-170_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Yumpuses are feisty. Each yumpus is a tumpus. Tumpuses are dull. Tumpuses are wumpuses. Each wumpus is not earthy. Jompuses are not kind. Every wumpus is a numpus. Each numpus is kind. Numpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Feisty($x, True)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Dull($x, True)\nrule4: Tumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Earthy($x, False)\nrule6: Jompus($x, True) → Kind($x, False)\nrule7: Wumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Kind($x, True)\nrule9: Numpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Feisty($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Earthy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Kind($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Polly', True)\nWumpus('Polly', True)\nNumpus('Polly', True)\nFeisty('Polly', True)\nDull('Polly', True)\nEarthy('Polly', False)\nKind('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Polly', True)\nAccording to the implied fact: Dull('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-396_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Every numpus is not aggressive. Numpuses are dumpuses. Every dumpus is not blue. Every dumpus is a wumpus. Wumpuses are feisty. Every wumpus is an impus. Impuses are hot. Yumpuses are not dull. Each impus is a vumpus. Vumpuses are dull. Every vumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Aggressive($x, False)\nrule2: Numpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Blue($x, False)\nrule4: Dumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Feisty($x, True)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Hot($x, True)\nrule8: Yumpus($x, True) → Dull($x, False)\nrule9: Impus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Dull($x, True)\nrule11: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nVumpus('Max', True)\nFeisty('Max', True)\nHot('Max', True)\nDull('Max', True)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Max', False)\nAccording to the implied fact: Feisty('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-202_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Vumpuses are not opaque. Each vumpus is a yumpus. Yumpuses are not earthy. Yumpuses are rompuses. Rompuses are not wooden. Tumpuses are earthy. Rompuses are zumpuses. Zumpuses are blue. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, False)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Earthy($x, False)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Wooden($x, False)\nrule6: Tumpus($x, True) → Earthy($x, True)\nrule7: Rompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Blue($x, True)\nrule9: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Wooden($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nZumpus('Sally', True)\nEarthy('Sally', False)\nWooden('Sally', False)\nBlue('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', False)\nAccording to the implied fact: Impus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-457_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Every yumpus is not happy. Each yumpus is a zumpus. Every zumpus is not liquid. Each zumpus is a vumpus. Vumpuses are fruity. Every vumpus is a jompus. Jompuses are opaque. Jompuses are impuses. Impuses are small. Impuses are tumpuses. Tumpuses are bright. Each tumpus is a numpus. Every numpus is not hot. Every numpus is a dumpus. Every rompus is not small.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Happy($x, False)\nrule2: Yumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Liquid($x, False)\nrule4: Zumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Fruity($x, True)\nrule6: Vumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Opaque($x, True)\nrule8: Jompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Small($x, True)\nrule10: Impus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Bright($x, True)\nrule12: Tumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Hot($x, False)\nrule14: Numpus($x, True) → Dumpus($x, True)\nrule15: Rompus($x, True) → Small($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Liquid($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Hot($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nJompus('Sally', True)\nImpus('Sally', True)\nTumpus('Sally', True)\nNumpus('Sally', True)\nLiquid('Sally', False)\nFruity('Sally', True)\nOpaque('Sally', True)\nSmall('Sally', True)\nBright('Sally', True)\nHot('Sally', False)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sally', False)\nAccording to the implied fact: Dumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-284_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Dumpuses are not hot. Every dumpus is a wumpus. Every wumpus is not mean. Wumpuses are vumpuses. Vumpuses are fruity. Every yumpus is not dull. Each vumpus is an impus. Impuses are sour. Impuses are jompuses. Each jompus is dull. Jompuses are zumpuses. Each zumpus is liquid. Each zumpus is a tumpus. Each tumpus is feisty. Tumpuses are numpuses. Every numpus is small. Numpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Hot($x, False)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Mean($x, False)\nrule4: Wumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Fruity($x, True)\nrule6: Yumpus($x, True) → Dull($x, False)\nrule7: Vumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Sour($x, True)\nrule9: Impus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Dull($x, True)\nrule11: Jompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Liquid($x, True)\nrule13: Zumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Feisty($x, True)\nrule15: Tumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Small($x, True)\nrule17: Numpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Impus($x, True) → Sour($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nZumpus('Alex', True)\nTumpus('Alex', True)\nNumpus('Alex', True)\nSour('Alex', True)\nDull('Alex', True)\nLiquid('Alex', True)\nFeisty('Alex', True)\nSmall('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Alex', False)\nAccording to the implied fact: Dull('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-34_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Every yumpus is shy. Yumpuses are vumpuses. Vumpuses are floral. Every vumpus is a tumpus. Each tumpus is not small. Wumpuses are not floral. Each tumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Shy($x, True)\nrule2: Yumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Floral($x, True)\nrule4: Vumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Small($x, False)\nrule6: Wumpus($x, True) → Floral($x, False)\nrule7: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nTumpus('Stella', True)\nShy('Stella', True)\nFloral('Stella', True)\nSmall('Stella', False)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Stella', True)\nAccording to the known fact: Yumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-293_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Yumpuses are not bitter. Yumpuses are dumpuses. Jompuses are bitter.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Bitter($x, False)\nrule2: Yumpus($x, True) → Dumpus($x, True)\nrule3: Jompus($x, True) → Bitter($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Bitter($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nBitter('Wren', False)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Wren', True)\nAccording to the implied fact: Dumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-153_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Impuses are earthy. Wumpuses are sour. Every impus is a yumpus. Yumpuses are metallic. Yumpuses are jompuses. Jompuses are not transparent. Jompuses are dumpuses. Dumpuses are orange. Each dumpus is a vumpus. Every vumpus is not sour. Vumpuses are rompuses. Every rompus is cold. Rompuses are zumpuses. Zumpuses are not bright. Zumpuses are tumpuses. Each tumpus is not nervous. Each tumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Earthy($x, True)\nrule2: Wumpus($x, True) → Sour($x, True)\nrule3: Impus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Metallic($x, True)\nrule5: Yumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Transparent($x, False)\nrule7: Jompus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Orange($x, True)\nrule9: Dumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Sour($x, False)\nrule11: Vumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Cold($x, True)\nrule13: Rompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Bright($x, False)\nrule15: Zumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Nervous($x, False)\nrule17: Tumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Earthy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Transparent($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Orange('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Sour($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Nervous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nJompus('Sally', True)\nDumpus('Sally', True)\nVumpus('Sally', True)\nRompus('Sally', True)\nZumpus('Sally', True)\nTumpus('Sally', True)\nEarthy('Sally', True)\nMetallic('Sally', True)\nTransparent('Sally', False)\nOrange('Sally', True)\nSour('Sally', False)\nCold('Sally', True)\nBright('Sally', False)\nNervous('Sally', False)\nNumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sally', False)\nAccording to the implied fact: Tumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-221_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Each yumpus is not sweet. Yumpuses are tumpuses. Tumpuses are fruity. Tumpuses are wumpuses. Wumpuses are amenable. Wumpuses are jompuses. Every jompus is dull. Jompuses are numpuses. Numpuses are not small. Each numpus is a vumpus. Every vumpus is luminous. Vumpuses are impuses. Every impus is blue. Every impus is a dumpus. Dumpuses are not shy. Every dumpus is a zumpus. Rompuses are small.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Sweet($x, False)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Fruity($x, True)\nrule4: Tumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Amenable($x, True)\nrule6: Wumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Dull($x, True)\nrule8: Jompus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Small($x, False)\nrule10: Numpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Luminous($x, True)\nrule12: Vumpus($x, True) → Impus($x, True)\nrule13: Impus($x, True) → Blue($x, True)\nrule14: Impus($x, True) → Dumpus($x, True)\nrule15: Dumpus($x, True) → Shy($x, False)\nrule16: Dumpus($x, True) → Zumpus($x, True)\nrule17: Rompus($x, True) → Small($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Amenable($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Blue($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Blue('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Shy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nJompus('Polly', True)\nNumpus('Polly', True)\nVumpus('Polly', True)\nImpus('Polly', True)\nDumpus('Polly', True)\nFruity('Polly', True)\nAmenable('Polly', True)\nDull('Polly', True)\nSmall('Polly', False)\nLuminous('Polly', True)\nBlue('Polly', True)\nShy('Polly', False)\nZumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Polly', False)\nAccording to the implied fact: Luminous('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-342_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Every impus is not cold. Each impus is a numpus. Each numpus is transparent. Every numpus is a yumpus. Yumpuses are amenable. Yumpuses are tumpuses. Every tumpus is floral. Each tumpus is a rompus. Rompuses are not wooden. Each rompus is a jompus. Every jompus is not dull. Each jompus is a wumpus. Wumpuses are not spicy. Wumpuses are vumpuses. Dumpuses are dull. Every vumpus is happy. Vumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Cold($x, False)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Transparent($x, True)\nrule4: Numpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Amenable($x, True)\nrule6: Yumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Floral($x, True)\nrule8: Tumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Wooden($x, False)\nrule10: Rompus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Dull($x, False)\nrule12: Jompus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Spicy($x, False)\nrule14: Wumpus($x, True) → Vumpus($x, True)\nrule15: Dumpus($x, True) → Dull($x, True)\nrule16: Vumpus($x, True) → Happy($x, True)\nrule17: Vumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Amenable($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Wooden($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Dull($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Spicy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Vumpus($x, True) → Happy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nTumpus('Max', True)\nRompus('Max', True)\nJompus('Max', True)\nWumpus('Max', True)\nVumpus('Max', True)\nTransparent('Max', True)\nAmenable('Max', True)\nFloral('Max', True)\nWooden('Max', False)\nDull('Max', False)\nSpicy('Max', False)\nHappy('Max', True)\nZumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Max', True)\nAccording to the known fact: Numpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-425_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Every yumpus is not hot. Each yumpus is a tumpus. Every tumpus is sweet. Every tumpus is a jompus. Jompuses are not happy. Every jompus is a zumpus. Zumpuses are metallic. Each zumpus is an impus. Each impus is orange. Every impus is a numpus. Dumpuses are transparent. Each numpus is not transparent. Each numpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Hot($x, False)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Sweet($x, True)\nrule4: Tumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Happy($x, False)\nrule6: Jompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Metallic($x, True)\nrule8: Zumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Orange($x, True)\nrule10: Impus($x, True) → Numpus($x, True)\nrule11: Dumpus($x, True) → Transparent($x, True)\nrule12: Numpus($x, True) → Transparent($x, False)\nrule13: Numpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Sweet($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sweet('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Happy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Happy('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Orange($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Numpus($x, True) → Transparent($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nZumpus('Rex', True)\nImpus('Rex', True)\nNumpus('Rex', True)\nSweet('Rex', True)\nHappy('Rex', False)\nMetallic('Rex', True)\nOrange('Rex', True)\nTransparent('Rex', False)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Rex', False)\nAccording to the implied fact: Metallic('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-316_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Impuses are not bright. Each impus is a vumpus. Vumpuses are sweet. Vumpuses are yumpuses. Yumpuses are transparent. Each yumpus is a rompus. Each rompus is not orange. Each rompus is a zumpus. Every zumpus is not luminous. Every zumpus is a jompus. Jompuses are kind. Each tumpus is happy. Jompuses are numpuses. Each numpus is not happy. Numpuses are dumpuses. Each dumpus is not hot. Each dumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Bright($x, False)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Sweet($x, True)\nrule4: Vumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Transparent($x, True)\nrule6: Yumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Orange($x, False)\nrule8: Rompus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Luminous($x, False)\nrule10: Zumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Kind($x, True)\nrule12: Tumpus($x, True) → Happy($x, True)\nrule13: Jompus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Happy($x, False)\nrule15: Numpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Hot($x, False)\nrule17: Dumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Rompus($x, True) → Orange($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Luminous($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Happy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Hot($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Max', True)\nJompus('Max', True)\nNumpus('Max', True)\nDumpus('Max', True)\nOrange('Max', False)\nLuminous('Max', False)\nKind('Max', True)\nHappy('Max', False)\nHot('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Max', False)\nAccording to the implied fact: Jompus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-465_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Zumpuses are small. Zumpuses are rompuses. Rompuses are transparent. Every rompus is a yumpus. Every dumpus is not liquid. Every yumpus is not aggressive. Yumpuses are vumpuses. Vumpuses are liquid. Vumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Small($x, True)\nrule2: Zumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Transparent($x, True)\nrule4: Rompus($x, True) → Yumpus($x, True)\nrule5: Dumpus($x, True) → Liquid($x, False)\nrule6: Yumpus($x, True) → Aggressive($x, False)\nrule7: Yumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Liquid($x, True)\nrule9: Vumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Yumpus($x, True) → Aggressive($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Aggressive('Sam', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Liquid($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Liquid('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nYumpus('Sam', True)\nVumpus('Sam', True)\nSmall('Sam', True)\nTransparent('Sam', True)\nAggressive('Sam', False)\nLiquid('Sam', True)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', True)\nAccording to the implied fact: Rompus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-204_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a tumpus. Tumpuses are large. Each tumpus is a wumpus. Every dumpus is not wooden. Wumpuses are not bright. Each wumpus is a yumpus. Yumpuses are shy. Each yumpus is a rompus. Each rompus is wooden. Each rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Large($x, True)\nrule2: Tumpus($x, True) → Wumpus($x, True)\nrule3: Dumpus($x, True) → Wooden($x, False)\nrule4: Wumpus($x, True) → Bright($x, False)\nrule5: Wumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Shy($x, True)\nrule7: Yumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Wooden($x, True)\nrule9: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Wumpus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Shy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nYumpus('Wren', True)\nRompus('Wren', True)\nLarge('Wren', True)\nBright('Wren', False)\nShy('Wren', True)\nWooden('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Wren', True)\nAccording to the implied fact: Bright('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-125_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Each tumpus is small. Each tumpus is a zumpus. Zumpuses are cold. Zumpuses are dumpuses. Dumpuses are not floral. Each dumpus is a vumpus. Each vumpus is not liquid. Vumpuses are jompuses. Jompuses are amenable. Each jompus is a wumpus. Wumpuses are not shy. Every wumpus is an impus. Every impus is not orange. Every impus is a numpus. Rompuses are not cold. Every numpus is opaque. Numpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Small($x, True)\nrule2: Tumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Cold($x, True)\nrule4: Zumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Floral($x, False)\nrule6: Dumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Liquid($x, False)\nrule8: Vumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Amenable($x, True)\nrule10: Jompus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Shy($x, False)\nrule12: Wumpus($x, True) → Impus($x, True)\nrule13: Impus($x, True) → Orange($x, False)\nrule14: Impus($x, True) → Numpus($x, True)\nrule15: Rompus($x, True) → Cold($x, False)\nrule16: Numpus($x, True) → Opaque($x, True)\nrule17: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Liquid($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Amenable($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Amenable('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Shy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Orange($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nDumpus('Rex', True)\nVumpus('Rex', True)\nJompus('Rex', True)\nWumpus('Rex', True)\nImpus('Rex', True)\nNumpus('Rex', True)\nSmall('Rex', True)\nCold('Rex', True)\nFloral('Rex', False)\nLiquid('Rex', False)\nAmenable('Rex', True)\nShy('Rex', False)\nOrange('Rex', False)\nOpaque('Rex', True)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', False)\nAccording to the implied fact: Zumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-134_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a vumpus. Tumpuses are not dull. Every jompus is opaque. Tumpuses are vumpuses. Vumpuses are not small. Each vumpus is a rompus. Rompuses are not wooden. Each rompus is a numpus. Numpuses are not opaque. Each numpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Dull($x, False)\nrule2: Jompus($x, True) → Opaque($x, True)\nrule3: Tumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Small($x, False)\nrule5: Vumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Wooden($x, False)\nrule7: Rompus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Opaque($x, False)\nrule9: Numpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Wooden($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nNumpus('Max', True)\nSmall('Max', False)\nWooden('Max', False)\nOpaque('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Max', True)\nAccording to the implied fact: Small('Max', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-221_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Dumpuses are transparent. Dumpuses are jompuses. Jompuses are bright. Jompuses are yumpuses. Every yumpus is cold. Yumpuses are zumpuses. Zumpuses are not large. Each wumpus is not transparent. Zumpuses are tumpuses. Tumpuses are kind. Tumpuses are numpuses. Every numpus is earthy. Numpuses are vumpuses. Vumpuses are not bitter. Vumpuses are rompuses. Rompuses are brown. Every rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Transparent($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Bright($x, True)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Cold($x, True)\nrule6: Yumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Large($x, False)\nrule8: Wumpus($x, True) → Transparent($x, False)\nrule9: Zumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Kind($x, True)\nrule11: Tumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Earthy($x, True)\nrule13: Numpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Bitter($x, False)\nrule15: Vumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Brown($x, True)\nrule17: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Bitter($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bitter('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Brown($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nYumpus('Max', True)\nZumpus('Max', True)\nTumpus('Max', True)\nNumpus('Max', True)\nVumpus('Max', True)\nRompus('Max', True)\nTransparent('Max', True)\nBright('Max', True)\nCold('Max', True)\nLarge('Max', False)\nKind('Max', True)\nEarthy('Max', True)\nBitter('Max', False)\nBrown('Max', True)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Max', True)\nAccording to the implied fact: Jompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-9_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Every wumpus is earthy. Wumpuses are numpuses. Numpuses are spicy. Each numpus is a zumpus. Each zumpus is happy. Every zumpus is a yumpus. Each yumpus is red. Every jompus is not red. Every yumpus is a rompus. Rompuses are not small. Every rompus is a tumpus. Tumpuses are not amenable. Every tumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Earthy($x, True)\nrule2: Wumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Spicy($x, True)\nrule4: Numpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Happy($x, True)\nrule6: Zumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Red($x, True)\nrule8: Jompus($x, True) → Red($x, False)\nrule9: Yumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Small($x, False)\nrule11: Rompus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Amenable($x, False)\nrule13: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Red($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Amenable($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nRompus('Wren', True)\nTumpus('Wren', True)\nHappy('Wren', True)\nRed('Wren', True)\nSmall('Wren', False)\nAmenable('Wren', False)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Wren', False)\nAccording to the implied fact: Amenable('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-480_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Every impus is red. Every impus is a jompus. Each dumpus is not metallic. Jompuses are not large. Jompuses are numpuses. Every numpus is hot. Each numpus is a wumpus. Every wumpus is opaque. Every wumpus is a yumpus. Yumpuses are metallic. Each yumpus is a zumpus. Every zumpus is not bright. Each zumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Red($x, True)\nrule2: Impus($x, True) → Jompus($x, True)\nrule3: Dumpus($x, True) → Metallic($x, False)\nrule4: Jompus($x, True) → Large($x, False)\nrule5: Jompus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Hot($x, True)\nrule7: Numpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Opaque($x, True)\nrule9: Wumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Metallic($x, True)\nrule11: Yumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Bright($x, False)\nrule13: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Red($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Red('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Jompus($x, True) → Large($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nNumpus('Sally', True)\nWumpus('Sally', True)\nYumpus('Sally', True)\nZumpus('Sally', True)\nRed('Sally', True)\nLarge('Sally', False)\nHot('Sally', True)\nOpaque('Sally', True)\nMetallic('Sally', True)\nBright('Sally', False)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', True)\nAccording to the known fact: Impus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-278_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Vumpuses are floral. Each vumpus is a wumpus. Wumpuses are temperate. Wumpuses are dumpuses. Jompuses are not happy. Every dumpus is orange. Each dumpus is a rompus. Every rompus is happy. Every rompus is a numpus. Numpuses are sour. Numpuses are yumpuses. Yumpuses are small. Yumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Floral($x, True)\nrule2: Vumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Temperate($x, True)\nrule4: Wumpus($x, True) → Dumpus($x, True)\nrule5: Jompus($x, True) → Happy($x, False)\nrule6: Dumpus($x, True) → Orange($x, True)\nrule7: Dumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Happy($x, True)\nrule9: Rompus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Sour($x, True)\nrule11: Numpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Small($x, True)\nrule13: Yumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Orange('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nNumpus('Sally', True)\nYumpus('Sally', True)\nOrange('Sally', True)\nHappy('Sally', True)\nSour('Sally', True)\nSmall('Sally', True)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sally', False)\nAccording to the implied fact: Numpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-375_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Numpuses are not fruity. Numpuses are impuses. Every impus is small. Impuses are tumpuses. Every tumpus is not spicy. Every tumpus is a vumpus. Vumpuses are not cold. Every vumpus is a zumpus. Zumpuses are transparent. Zumpuses are wumpuses. Each wumpus is shy. Each wumpus is a dumpus. Dumpuses are angry. Every dumpus is a yumpus. Each yumpus is not brown. Yumpuses are rompuses. Each jompus is brown.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Fruity($x, False)\nrule2: Numpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Small($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Spicy($x, False)\nrule6: Tumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Cold($x, False)\nrule8: Vumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Transparent($x, True)\nrule10: Zumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Shy($x, True)\nrule12: Wumpus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Angry($x, True)\nrule14: Dumpus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Brown($x, False)\nrule16: Yumpus($x, True) → Rompus($x, True)\nrule17: Jompus($x, True) → Brown($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule13: Dumpus($x, True) → Angry($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Brown($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nAngry('Wren', True)\nBrown('Wren', False)\nRompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Wren', False)\nAccording to the known fact: Dumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-241_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a dumpus. Zumpuses are not fruity. Zumpuses are wumpuses. Wumpuses are bright. Each wumpus is a dumpus. Each dumpus is transparent. Dumpuses are rompuses. Rompuses are not large. Rompuses are impuses. Every impus is kind. Impuses are jompuses. Each jompus is sour. Each jompus is a tumpus. Tumpuses are not luminous. Tumpuses are numpuses. Each numpus is happy. Each numpus is a vumpus. Each yumpus is luminous.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nDumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Fruity($x, False)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Bright($x, True)\nrule4: Wumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Transparent($x, True)\nrule6: Dumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Large($x, False)\nrule8: Rompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Kind($x, True)\nrule10: Impus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Sour($x, True)\nrule12: Jompus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Luminous($x, False)\nrule14: Tumpus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Happy($x, True)\nrule16: Numpus($x, True) → Vumpus($x, True)\nrule17: Yumpus($x, True) → Luminous($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Kind($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Sour($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Luminous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Happy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nImpus('Alex', True)\nJompus('Alex', True)\nTumpus('Alex', True)\nNumpus('Alex', True)\nTransparent('Alex', True)\nLarge('Alex', False)\nKind('Alex', True)\nSour('Alex', True)\nLuminous('Alex', False)\nHappy('Alex', True)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Alex', False)\nAccording to the implied fact: Jompus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-392_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Wumpuses are not small. Each wumpus is an impus. Each impus is hot. Each impus is a rompus. Rompuses are not mean. Every rompus is a yumpus. Each yumpus is not red. Yumpuses are zumpuses. Jompuses are nervous. Each zumpus is not luminous. Zumpuses are tumpuses. Every tumpus is not nervous. Tumpuses are numpuses. Each numpus is spicy. Every numpus is a dumpus. Each dumpus is bright. Each dumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSmall($x, bool) ::: Is x small?\nHot($x, bool) ::: Is x hot?\nMean($x, bool) ::: Is x mean?\nRed($x, bool) ::: Is x red?\nNervous($x, bool) ::: Is x nervous?\nLuminous($x, bool) ::: Is x luminous?\nSpicy($x, bool) ::: Is x spicy?\nBright($x, bool) ::: Is x bright?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, False)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Hot($x, True)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Mean($x, False)\nrule6: Rompus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Red($x, False)\nrule8: Yumpus($x, True) → Zumpus($x, True)\nrule9: Jompus($x, True) → Nervous($x, True)\nrule10: Zumpus($x, True) → Luminous($x, False)\nrule11: Zumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Nervous($x, False)\nrule13: Tumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Spicy($x, True)\nrule15: Numpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Bright($x, True)\nrule17: Dumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Mean($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Mean('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Red($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Red('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Zumpus($x, True) → Luminous($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Nervous($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nZumpus('Max', True)\nTumpus('Max', True)\nNumpus('Max', True)\nDumpus('Max', True)\nMean('Max', False)\nRed('Max', False)\nLuminous('Max', False)\nNervous('Max', False)\nSpicy('Max', True)\nBright('Max', True)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not a vumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', False)\nAccording to the implied fact: Vumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-171_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Rompuses are small. Each rompus is a jompus. Jompuses are not sour. Zumpuses are not happy. Jompuses are tumpuses. Each tumpus is not temperate. Each tumpus is a numpus. Each numpus is happy. Each numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Small($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Sour($x, False)\nrule4: Zumpus($x, True) → Happy($x, False)\nrule5: Jompus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Temperate($x, False)\nrule7: Tumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Happy($x, True)\nrule9: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Sour($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Temperate($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Happy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nTumpus('Fae', True)\nNumpus('Fae', True)\nSmall('Fae', True)\nSour('Fae', False)\nTemperate('Fae', False)\nHappy('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Fae', True)\nAccording to the implied fact: Jompus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-212_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Each jompus is bright. Each jompus is a dumpus. Dumpuses are not aggressive. Dumpuses are zumpuses. Impuses are aggressive.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bright($x, True)\nrule2: Jompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Aggressive($x, False)\nrule4: Dumpus($x, True) → Zumpus($x, True)\nrule5: Impus($x, True) → Aggressive($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Aggressive($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nAggressive('Wren', False)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Wren', False)\nAccording to the implied fact: Zumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-404_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Each numpus is luminous. Numpuses are vumpuses. Every vumpus is orange. Each vumpus is a tumpus. Tumpuses are hot. Tumpuses are rompuses. Rompuses are not small. Each wumpus is small. Every rompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Luminous($x, True)\nrule2: Numpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Orange($x, True)\nrule4: Vumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Hot($x, True)\nrule6: Tumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Small($x, False)\nrule8: Wumpus($x, True) → Small($x, True)\nrule9: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nTumpus('Polly', True)\nRompus('Polly', True)\nLuminous('Polly', True)\nOrange('Polly', True)\nHot('Polly', True)\nSmall('Polly', False)\nYumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Polly', True)\nAccording to the implied fact: Orange('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-361_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Impuses are luminous. Impuses are numpuses. Every jompus is large. Numpuses are not orange. Numpuses are wumpuses. Wumpuses are not large. Wumpuses are rompuses. Rompuses are fruity. Each rompus is a tumpus. Tumpuses are dull. Tumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Luminous($x, True)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Jompus($x, True) → Large($x, True)\nrule4: Numpus($x, True) → Orange($x, False)\nrule5: Numpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Large($x, False)\nrule7: Wumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Fruity($x, True)\nrule9: Rompus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Dull($x, True)\nrule11: Tumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Numpus($x, True) → Orange($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Large($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Sam', True)\nWumpus('Sam', True)\nRompus('Sam', True)\nTumpus('Sam', True)\nLuminous('Sam', True)\nOrange('Sam', False)\nLarge('Sam', False)\nFruity('Sam', True)\nDull('Sam', True)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sam', False)\nAccording to the implied fact: Vumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-188_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Each jompus is not hot. Yumpuses are orange. Every yumpus is a wumpus. Wumpuses are hot. Wumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Hot($x, False)\nrule2: Yumpus($x, True) → Orange($x, True)\nrule3: Yumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Hot($x, True)\nrule5: Wumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nOrange('Stella', True)\nHot('Stella', True)\nVumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Stella', False)\nAccording to the implied fact: Wumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-123_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a tumpus. Every vumpus is not opaque. Vumpuses are rompuses. Rompuses are hot. Each rompus is a zumpus. Every numpus is small. Zumpuses are not floral. Each zumpus is a jompus. Every jompus is feisty. Every jompus is a tumpus. Tumpuses are blue. Each tumpus is an impus. Every impus is bright. Impuses are dumpuses. Every dumpus is sour. Dumpuses are yumpuses. Yumpuses are not small. Yumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, False)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Hot($x, True)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Numpus($x, True) → Small($x, True)\nrule6: Zumpus($x, True) → Floral($x, False)\nrule7: Zumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Feisty($x, True)\nrule9: Jompus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Blue($x, True)\nrule11: Tumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Bright($x, True)\nrule13: Impus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Sour($x, True)\nrule15: Dumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Small($x, False)\nrule17: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Sour($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nDumpus('Wren', True)\nYumpus('Wren', True)\nBlue('Wren', True)\nBright('Wren', True)\nSour('Wren', True)\nSmall('Wren', False)\nWumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Wren', True)\nAccording to the implied fact: Blue('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-108_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Every dumpus is not feisty. Every jompus is hot. Jompuses are numpuses. Every numpus is feisty. Every numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Feisty($x, False)\nrule2: Jompus($x, True) → Hot($x, True)\nrule3: Jompus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Feisty($x, True)\nrule5: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Jompus($x, True) → Hot($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nHot('Fae', True)\nFeisty('Fae', True)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Fae', True)\nAccording to the implied fact: Impus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-409_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Each vumpus is cold. Vumpuses are dumpuses. Every dumpus is not aggressive. Wumpuses are aggressive. Dumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Cold($x, True)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Aggressive($x, False)\nrule4: Wumpus($x, True) → Aggressive($x, True)\nrule5: Dumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Cold($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Aggressive($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nCold('Fae', True)\nAggressive('Fae', False)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', False)\nAccording to the known fact: Vumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-266_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Dumpuses are not blue. Numpuses are blue. Each numpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Blue($x, False)\nrule2: Numpus($x, True) → Blue($x, True)\nrule3: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Numpus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nBlue('Sally', True)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Sally', False)\nAccording to the implied fact: Blue('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-126_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Numpuses are cold. Zumpuses are happy. Each zumpus is a tumpus. Tumpuses are large. Each tumpus is an impus. Each impus is amenable. Impuses are wumpuses. Each wumpus is not cold. Wumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Cold($x, True)\nrule2: Zumpus($x, True) → Happy($x, True)\nrule3: Zumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Large($x, True)\nrule5: Tumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Amenable($x, True)\nrule7: Impus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Cold($x, False)\nrule9: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Tumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Amenable($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Cold($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nWumpus('Sam', True)\nLarge('Sam', True)\nAmenable('Sam', True)\nCold('Sam', False)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sam', True)\nAccording to the implied fact: Jompus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-61_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Jompuses are bitter. Jompuses are dumpuses. Dumpuses are not cold. Dumpuses are impuses. Impuses are nervous. Every impus is a rompus. Each vumpus is not bitter. Rompuses are small. Rompuses are wumpuses. Wumpuses are not transparent. Wumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bitter($x, True)\nrule2: Jompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Cold($x, False)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Nervous($x, True)\nrule6: Impus($x, True) → Rompus($x, True)\nrule7: Vumpus($x, True) → Bitter($x, False)\nrule8: Rompus($x, True) → Small($x, True)\nrule9: Rompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Transparent($x, False)\nrule11: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Cold($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Rompus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Transparent($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nImpus('Sam', True)\nRompus('Sam', True)\nWumpus('Sam', True)\nBitter('Sam', True)\nCold('Sam', False)\nNervous('Sam', True)\nSmall('Sam', True)\nTransparent('Sam', False)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Sam', False)\nAccording to the implied fact: Nervous('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-96_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Every vumpus is not large. Vumpuses are rompuses. Rompuses are not amenable. Rompuses are dumpuses. Dumpuses are earthy. Every dumpus is a tumpus. Tumpuses are dull. Every tumpus is a zumpus. Every zumpus is cold. Each zumpus is a yumpus. Every yumpus is transparent. Wumpuses are not cold. Yumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Large($x, False)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Amenable($x, False)\nrule4: Rompus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Earthy($x, True)\nrule6: Dumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Dull($x, True)\nrule8: Tumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Cold($x, True)\nrule10: Zumpus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Transparent($x, True)\nrule12: Wumpus($x, True) → Cold($x, False)\nrule13: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Large($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Amenable($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nDumpus('Wren', True)\nTumpus('Wren', True)\nZumpus('Wren', True)\nYumpus('Wren', True)\nLarge('Wren', False)\nAmenable('Wren', False)\nEarthy('Wren', True)\nDull('Wren', True)\nCold('Wren', True)\nTransparent('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Wren', True)\nAccording to the implied fact: Numpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-261_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Vumpuses are dull. Vumpuses are impuses. Every impus is blue. Each impus is a wumpus. Every zumpus is metallic. Wumpuses are large. Wumpuses are jompuses. Jompuses are not hot. Jompuses are rompuses. Each rompus is not metallic. Rompuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Dull($x, True)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Blue($x, True)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Zumpus($x, True) → Metallic($x, True)\nrule6: Wumpus($x, True) → Large($x, True)\nrule7: Wumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Hot($x, False)\nrule9: Jompus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Metallic($x, False)\nrule11: Rompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Wumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Hot($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Metallic($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nWumpus('Wren', True)\nJompus('Wren', True)\nRompus('Wren', True)\nDull('Wren', True)\nBlue('Wren', True)\nLarge('Wren', True)\nHot('Wren', False)\nMetallic('Wren', False)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Wren', True)\nAccording to the known fact: Vumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-485_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Each zumpus is brown. Each zumpus is a numpus. Each numpus is not temperate. Every numpus is a tumpus. Tumpuses are not sour. Each tumpus is a dumpus. Dumpuses are bright. Every dumpus is a yumpus. Yumpuses are large. Every yumpus is a jompus. Each jompus is not earthy. Every jompus is a vumpus. Wumpuses are sour.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Brown($x, True)\nrule2: Zumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Temperate($x, False)\nrule4: Numpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Sour($x, False)\nrule6: Tumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Bright($x, True)\nrule8: Dumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Large($x, True)\nrule10: Yumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Earthy($x, False)\nrule12: Jompus($x, True) → Vumpus($x, True)\nrule13: Wumpus($x, True) → Sour($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Temperate($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Sour($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Earthy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nTumpus('Alex', True)\nDumpus('Alex', True)\nYumpus('Alex', True)\nJompus('Alex', True)\nBrown('Alex', True)\nTemperate('Alex', False)\nSour('Alex', False)\nBright('Alex', True)\nLarge('Alex', True)\nEarthy('Alex', False)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Alex', True)\nAccording to the implied fact: Temperate('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-273_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a dumpus. Dumpuses are not spicy. Every dumpus is a zumpus. Zumpuses are liquid. Each jompus is not liquid. Zumpuses are impuses. Every impus is nervous. Every impus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Spicy($x, False)\nrule2: Dumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Liquid($x, True)\nrule4: Jompus($x, True) → Liquid($x, False)\nrule5: Zumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Nervous($x, True)\nrule7: Impus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Spicy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nImpus('Alex', True)\nSpicy('Alex', False)\nLiquid('Alex', True)\nNervous('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Alex', True)\nAccording to the known fact: Dumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-134_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Impuses are cold. Each impus is a tumpus. Tumpuses are fruity. Tumpuses are jompuses. Every jompus is metallic. Jompuses are zumpuses. Each zumpus is nervous. Numpuses are dull. Each zumpus is a wumpus. Every wumpus is not dull. Each wumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Cold($x, True)\nrule2: Impus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Fruity($x, True)\nrule4: Tumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Metallic($x, True)\nrule6: Jompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Nervous($x, True)\nrule8: Numpus($x, True) → Dull($x, True)\nrule9: Zumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Dull($x, False)\nrule11: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Cold($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Metallic($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Metallic('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nJompus('Fae', True)\nZumpus('Fae', True)\nWumpus('Fae', True)\nCold('Fae', True)\nFruity('Fae', True)\nMetallic('Fae', True)\nNervous('Fae', True)\nDull('Fae', False)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', True)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-138_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a numpus. Every rompus is small. Rompuses are numpuses. Tumpuses are dull. Numpuses are not dull. Numpuses are impuses. Impuses are wooden. Each impus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Small($x, True)\nrule2: Rompus($x, True) → Numpus($x, True)\nrule3: Tumpus($x, True) → Dull($x, True)\nrule4: Numpus($x, True) → Dull($x, False)\nrule5: Numpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Wooden($x, True)\nrule7: Impus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Dull($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nDull('Wren', False)\nWooden('Wren', True)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Wren', False)\nAccording to the implied fact: Yumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-29_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Each dumpus is not liquid. Dumpuses are vumpuses. Every vumpus is bitter. Every vumpus is a zumpus. Zumpuses are feisty. Every wumpus is not feisty. Zumpuses are rompuses. Rompuses are brown. Rompuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Liquid($x, False)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Bitter($x, True)\nrule4: Vumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Feisty($x, True)\nrule6: Wumpus($x, True) → Feisty($x, False)\nrule7: Zumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Brown($x, True)\nrule9: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Liquid($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Feisty($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Brown($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nZumpus('Polly', True)\nRompus('Polly', True)\nLiquid('Polly', False)\nBitter('Polly', True)\nFeisty('Polly', True)\nBrown('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Polly', False)\nAccording to the implied fact: Impus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-397_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Wumpuses are large. Every wumpus is a dumpus. Dumpuses are not fruity. Dumpuses are vumpuses. Each vumpus is not angry. Each vumpus is an impus. Every impus is orange. Every yumpus is not orange. Each impus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Large($x, True)\nrule2: Wumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Fruity($x, False)\nrule4: Dumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Angry($x, False)\nrule6: Vumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Orange($x, True)\nrule8: Yumpus($x, True) → Orange($x, False)\nrule9: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Fruity($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Angry($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Angry('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Orange($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Orange('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nVumpus('Sally', True)\nImpus('Sally', True)\nLarge('Sally', True)\nFruity('Sally', False)\nAngry('Sally', False)\nOrange('Sally', True)\nNumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sally', True)\nAccording to the implied fact: Dumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-17_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Every zumpus is not fruity. Numpuses are not feisty. Every zumpus is a rompus. Every rompus is feisty. Each rompus is a dumpus. Every dumpus is orange. Each dumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Fruity($x, False)\nrule2: Numpus($x, True) → Feisty($x, False)\nrule3: Zumpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Feisty($x, True)\nrule5: Rompus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Orange($x, True)\nrule7: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Fruity($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nRompus('Stella', True)\nDumpus('Stella', True)\nFruity('Stella', False)\nFeisty('Stella', True)\nOrange('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Stella', True)\nAccording to the implied fact: Fruity('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-32_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Every vumpus is orange. Every vumpus is a yumpus. Every jompus is shy. Yumpuses are not mean. Yumpuses are rompuses. Rompuses are not shy. Rompuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Orange($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Jompus($x, True) → Shy($x, True)\nrule4: Yumpus($x, True) → Mean($x, False)\nrule5: Yumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Shy($x, False)\nrule7: Rompus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Orange($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Yumpus($x, True) → Mean($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Mean('Fae', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Shy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nRompus('Fae', True)\nOrange('Fae', True)\nMean('Fae', False)\nShy('Fae', False)\nZumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', True)\nAccording to the known fact: Vumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-484_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a dumpus. Tumpuses are opaque. Every jompus is wooden. Every tumpus is a yumpus. Every yumpus is blue. Yumpuses are numpuses. Every numpus is feisty. Every numpus is an impus. Impuses are not floral. Impuses are vumpuses. Every vumpus is not kind. Each vumpus is a dumpus. Dumpuses are not wooden. Dumpuses are zumpuses. Every zumpus is not small. Zumpuses are rompuses. Each rompus is cold. Each rompus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Opaque($x, True)\nrule2: Jompus($x, True) → Wooden($x, True)\nrule3: Tumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Blue($x, True)\nrule5: Yumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Feisty($x, True)\nrule7: Numpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Floral($x, False)\nrule9: Impus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Kind($x, False)\nrule11: Vumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Wooden($x, False)\nrule13: Dumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Small($x, False)\nrule15: Zumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Cold($x, True)\nrule17: Rompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Dumpus($x, True) → Wooden($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nRompus('Stella', True)\nWooden('Stella', False)\nSmall('Stella', False)\nCold('Stella', True)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Stella', False)\nAccording to the implied fact: Wooden('Stella', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-249_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Every dumpus is aggressive. Dumpuses are impuses. Impuses are not sour. Each impus is a vumpus. Each vumpus is liquid. Each vumpus is a numpus. Each numpus is blue. Numpuses are jompuses. Every jompus is opaque. Tumpuses are sour. Jompuses are yumpuses. Yumpuses are not large. Every yumpus is a wumpus. Every wumpus is floral. Every wumpus is a zumpus. Zumpuses are happy. Each zumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Aggressive($x, True)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Sour($x, False)\nrule4: Impus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Liquid($x, True)\nrule6: Vumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Blue($x, True)\nrule8: Numpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Opaque($x, True)\nrule10: Tumpus($x, True) → Sour($x, True)\nrule11: Jompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Large($x, False)\nrule13: Yumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Floral($x, True)\nrule15: Wumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Happy($x, True)\nrule17: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Sour($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Large($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Floral($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nVumpus('Sally', True)\nNumpus('Sally', True)\nJompus('Sally', True)\nYumpus('Sally', True)\nWumpus('Sally', True)\nZumpus('Sally', True)\nAggressive('Sally', True)\nSour('Sally', False)\nLiquid('Sally', True)\nBlue('Sally', True)\nOpaque('Sally', True)\nLarge('Sally', False)\nFloral('Sally', True)\nHappy('Sally', True)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sally', False)\nAccording to the implied fact: Numpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-342_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Every dumpus is not large. Dumpuses are zumpuses. Zumpuses are bright. Every jompus is not bright. Zumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, False)\nrule2: Dumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Bright($x, True)\nrule4: Jompus($x, True) → Bright($x, False)\nrule5: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nLarge('Fae', False)\nBright('Fae', True)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', True)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-99_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Every tumpus is not blue. Every yumpus is blue. Each yumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Blue($x, False)\nrule2: Yumpus($x, True) → Blue($x, True)\nrule3: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Yumpus($x, True) → Blue($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nBlue('Stella', True)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Stella', False)\nAccording to the implied fact: Blue('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-211_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Dumpuses are sour. Each dumpus is a wumpus. Wumpuses are red. Every wumpus is a rompus. Rompuses are not temperate. Rompuses are yumpuses. Every zumpus is not dull. Each yumpus is fruity. Yumpuses are jompuses. Every jompus is kind. Jompuses are numpuses. Numpuses are liquid. Numpuses are tumpuses. Tumpuses are dull. Tumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Sour($x, True)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Red($x, True)\nrule4: Wumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Temperate($x, False)\nrule6: Rompus($x, True) → Yumpus($x, True)\nrule7: Zumpus($x, True) → Dull($x, False)\nrule8: Yumpus($x, True) → Fruity($x, True)\nrule9: Yumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Kind($x, True)\nrule11: Jompus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Liquid($x, True)\nrule13: Numpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Dull($x, True)\nrule15: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nTumpus('Polly', True)\nLiquid('Polly', True)\nDull('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Polly', True)\nAccording to the implied fact: Dull('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-123_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Every jompus is not bitter. Every jompus is an impus. Every impus is not luminous. Impuses are wumpuses. Wumpuses are floral. Every wumpus is a zumpus. Each zumpus is large. Every yumpus is not large. Zumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bitter($x, False)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Luminous($x, False)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Floral($x, True)\nrule6: Wumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Large($x, True)\nrule8: Yumpus($x, True) → Large($x, False)\nrule9: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Luminous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Floral($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Floral('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Polly', True)\nWumpus('Polly', True)\nZumpus('Polly', True)\nBitter('Polly', False)\nLuminous('Polly', False)\nFloral('Polly', True)\nLarge('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Polly', False)\nAccording to the implied fact: Large('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-265_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Tumpuses are bright. Jompuses are feisty. Tumpuses are dumpuses. Every dumpus is not bitter. Each dumpus is a yumpus. Each yumpus is cold. Each yumpus is a zumpus. Each zumpus is not feisty. Zumpuses are rompuses. Rompuses are not orange. Every rompus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bright($x, True)\nrule2: Jompus($x, True) → Feisty($x, True)\nrule3: Tumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Bitter($x, False)\nrule5: Dumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Cold($x, True)\nrule7: Yumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Feisty($x, False)\nrule9: Zumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Orange($x, False)\nrule11: Rompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Zumpus($x, True) → Feisty($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Orange($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nFeisty('Fae', False)\nOrange('Fae', False)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Fae', False)\nAccording to the implied fact: Feisty('Fae', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-415_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Every vumpus is not feisty. Every vumpus is an impus. Impuses are dull. Impuses are rompuses. Rompuses are not blue. Each rompus is a jompus. Jompuses are sour. Every jompus is a numpus. Every numpus is not temperate. Numpuses are dumpuses. Every dumpus is not small. Every dumpus is a wumpus. Wumpuses are floral. Wumpuses are yumpuses. Each yumpus is metallic. Every yumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Feisty($x, False)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Dull($x, True)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Blue($x, False)\nrule6: Rompus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Sour($x, True)\nrule8: Jompus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Temperate($x, False)\nrule10: Numpus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Small($x, False)\nrule12: Dumpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Floral($x, True)\nrule14: Wumpus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Metallic($x, True)\nrule16: Yumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Dumpus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nYumpus('Wren', True)\nSmall('Wren', False)\nFloral('Wren', True)\nMetallic('Wren', True)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Wren', True)\nAccording to the implied fact: Yumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-28_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a zumpus. Dumpuses are opaque. Dumpuses are jompuses. Jompuses are brown. Jompuses are wumpuses. Every wumpus is kind. Every wumpus is a yumpus. Yumpuses are bright. Yumpuses are zumpuses. Zumpuses are small. Zumpuses are vumpuses. Vumpuses are sweet. Every tumpus is metallic. Vumpuses are rompuses. Each rompus is not metallic. Rompuses are numpuses. Each numpus is temperate. Each numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Brown($x, True)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Kind($x, True)\nrule6: Wumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Bright($x, True)\nrule8: Yumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Small($x, True)\nrule10: Zumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Sweet($x, True)\nrule12: Tumpus($x, True) → Metallic($x, True)\nrule13: Vumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Metallic($x, False)\nrule15: Rompus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Temperate($x, True)\nrule17: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Zumpus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Sweet($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Sweet('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Metallic($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Temperate($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nRompus('Polly', True)\nNumpus('Polly', True)\nSmall('Polly', True)\nSweet('Polly', True)\nMetallic('Polly', False)\nTemperate('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Polly', False)\nAccording to the implied fact: Vumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-446_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Each vumpus is cold. Each tumpus is not fruity. Each vumpus is a dumpus. Dumpuses are not spicy. Dumpuses are numpuses. Each numpus is not bright. Every numpus is a yumpus. Each yumpus is not kind. Each yumpus is a rompus. Rompuses are luminous. Every rompus is a jompus. Every jompus is shy. Each jompus is a zumpus. Every zumpus is fruity. Zumpuses are wumpuses. Wumpuses are small. Wumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Cold($x, True)\nrule2: Tumpus($x, True) → Fruity($x, False)\nrule3: Vumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Spicy($x, False)\nrule5: Dumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Bright($x, False)\nrule7: Numpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Kind($x, False)\nrule9: Yumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Luminous($x, True)\nrule11: Rompus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Shy($x, True)\nrule13: Jompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Fruity($x, True)\nrule15: Zumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Small($x, True)\nrule17: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Numpus($x, True) → Bright($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Kind($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Luminous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Shy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nRompus('Fae', True)\nJompus('Fae', True)\nZumpus('Fae', True)\nWumpus('Fae', True)\nBright('Fae', False)\nKind('Fae', False)\nLuminous('Fae', True)\nShy('Fae', True)\nFruity('Fae', True)\nSmall('Fae', True)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Fae', True)\nAccording to the implied fact: Small('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-415_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Numpuses are opaque. Numpuses are wumpuses. Each wumpus is orange. Every rompus is not orange. Each wumpus is a zumpus. Zumpuses are luminous. Each zumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Opaque($x, True)\nrule2: Numpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Orange($x, True)\nrule4: Rompus($x, True) → Orange($x, False)\nrule5: Wumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Luminous($x, True)\nrule7: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Orange($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Luminous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nZumpus('Rex', True)\nOpaque('Rex', True)\nOrange('Rex', True)\nLuminous('Rex', True)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', False)\nAccording to the implied fact: Zumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-226_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Zumpuses are spicy. Zumpuses are rompuses. Rompuses are fruity. Rompuses are yumpuses. Yumpuses are liquid. Yumpuses are impuses. Every tumpus is not happy. Every impus is happy. Impuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Spicy($x, True)\nrule2: Zumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Fruity($x, True)\nrule4: Rompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Liquid($x, True)\nrule6: Yumpus($x, True) → Impus($x, True)\nrule7: Tumpus($x, True) → Happy($x, False)\nrule8: Impus($x, True) → Happy($x, True)\nrule9: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Impus($x, True) → Happy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Happy('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nYumpus('Rex', True)\nImpus('Rex', True)\nSpicy('Rex', True)\nFruity('Rex', True)\nLiquid('Rex', True)\nHappy('Rex', True)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Rex', True)\nAccording to the implied fact: Yumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-9_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a numpus. Wumpuses are large. Wumpuses are vumpuses. Each vumpus is not feisty. Every vumpus is a dumpus. Each yumpus is not red. Dumpuses are not cold. Dumpuses are numpuses. Each numpus is dull. Numpuses are tumpuses. Tumpuses are floral. Tumpuses are jompuses. Every jompus is transparent. Jompuses are zumpuses. Every zumpus is not wooden. Each zumpus is a rompus. Rompuses are red. Each rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Large($x, True)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Feisty($x, False)\nrule4: Vumpus($x, True) → Dumpus($x, True)\nrule5: Yumpus($x, True) → Red($x, False)\nrule6: Dumpus($x, True) → Cold($x, False)\nrule7: Dumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Dull($x, True)\nrule9: Numpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Floral($x, True)\nrule11: Tumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Transparent($x, True)\nrule13: Jompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Wooden($x, False)\nrule15: Zumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Red($x, True)\nrule17: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Numpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Wooden($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nJompus('Sam', True)\nZumpus('Sam', True)\nRompus('Sam', True)\nDull('Sam', True)\nFloral('Sam', True)\nTransparent('Sam', True)\nWooden('Sam', False)\nRed('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sam', False)\nAccording to the implied fact: Zumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-219_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Every rompus is nervous. Rompuses are wumpuses. Wumpuses are orange. Wumpuses are tumpuses. Tumpuses are not cold. Tumpuses are numpuses. Yumpuses are not sweet. Numpuses are earthy. Every numpus is a zumpus. Each zumpus is kind. Each zumpus is a vumpus. Vumpuses are bright. Vumpuses are jompuses. Each jompus is not transparent. Jompuses are impuses. Impuses are sweet. Impuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Nervous($x, True)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Orange($x, True)\nrule4: Wumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Cold($x, False)\nrule6: Tumpus($x, True) → Numpus($x, True)\nrule7: Yumpus($x, True) → Sweet($x, False)\nrule8: Numpus($x, True) → Earthy($x, True)\nrule9: Numpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Kind($x, True)\nrule11: Zumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Bright($x, True)\nrule13: Vumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Transparent($x, False)\nrule15: Jompus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Sweet($x, True)\nrule17: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Zumpus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Transparent($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Sweet($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nJompus('Max', True)\nImpus('Max', True)\nKind('Max', True)\nBright('Max', True)\nTransparent('Max', False)\nSweet('Max', True)\nDumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', True)\nAccording to the implied fact: Vumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-67_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Each impus is not sour. Each impus is a vumpus. Each vumpus is shy. Every vumpus is a zumpus. Every zumpus is hot. Zumpuses are rompuses. Rompuses are aggressive. Wumpuses are wooden. Each rompus is a yumpus. Yumpuses are not wooden. Every yumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Sour($x, False)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Shy($x, True)\nrule4: Vumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Hot($x, True)\nrule6: Zumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Aggressive($x, True)\nrule8: Wumpus($x, True) → Wooden($x, True)\nrule9: Rompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Wooden($x, False)\nrule11: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Sour($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Shy('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Aggressive($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Aggressive('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Wooden($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Sam', True)\nZumpus('Sam', True)\nRompus('Sam', True)\nYumpus('Sam', True)\nSour('Sam', False)\nShy('Sam', True)\nHot('Sam', True)\nAggressive('Sam', True)\nWooden('Sam', False)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', True)\nAccording to the implied fact: Rompus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-387_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Every zumpus is bright. Every zumpus is a numpus. Every numpus is not sour. Numpuses are jompuses. Every jompus is fruity. Jompuses are vumpuses. Each vumpus is hot. Vumpuses are tumpuses. Tumpuses are not blue. Each yumpus is blue. Tumpuses are wumpuses. Wumpuses are feisty. Wumpuses are rompuses. Rompuses are opaque. Each rompus is an impus. Impuses are luminous. Impuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Bright($x, True)\nrule2: Zumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Sour($x, False)\nrule4: Numpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Fruity($x, True)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Hot($x, True)\nrule8: Vumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Blue($x, False)\nrule10: Yumpus($x, True) → Blue($x, True)\nrule11: Tumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Feisty($x, True)\nrule13: Wumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Opaque($x, True)\nrule15: Rompus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Luminous($x, True)\nrule17: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Tumpus($x, True) → Blue($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nRompus('Sam', True)\nImpus('Sam', True)\nBlue('Sam', False)\nFeisty('Sam', True)\nOpaque('Sam', True)\nLuminous('Sam', True)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sam', True)\nAccording to the implied fact: Impus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-250_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Rompuses are fruity. Rompuses are zumpuses. Zumpuses are bitter. Zumpuses are wumpuses. Every wumpus is not red. Wumpuses are dumpuses. Dumpuses are metallic. Every dumpus is an impus. Each impus is not small. Impuses are yumpuses. Every yumpus is hot. Every yumpus is a vumpus. Vumpuses are feisty. Vumpuses are numpuses. Each numpus is dull. Every numpus is a jompus. Each tumpus is not hot.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Fruity($x, True)\nrule2: Rompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Bitter($x, True)\nrule4: Zumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Red($x, False)\nrule6: Wumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Metallic($x, True)\nrule8: Dumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Small($x, False)\nrule10: Impus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Hot($x, True)\nrule12: Yumpus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Feisty($x, True)\nrule14: Vumpus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Dull($x, True)\nrule16: Numpus($x, True) → Jompus($x, True)\nrule17: Tumpus($x, True) → Hot($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Impus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nVumpus('Stella', True)\nNumpus('Stella', True)\nSmall('Stella', False)\nHot('Stella', True)\nFeisty('Stella', True)\nDull('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Stella', False)\nAccording to the known fact: Impus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-94_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Each vumpus is not dull. Rompuses are dull. Every vumpus is a dumpus. Dumpuses are wooden. Dumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Dull($x, False)\nrule2: Rompus($x, True) → Dull($x, True)\nrule3: Vumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Wooden($x, True)\nrule5: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Wooden($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nDumpus('Stella', True)\nDull('Stella', False)\nWooden('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Stella', False)\nAccording to the implied fact: Dull('Stella', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-227_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Every rompus is sweet. Each rompus is a yumpus. Each yumpus is not red. Tumpuses are red. Every yumpus is a jompus. Every jompus is large. Each jompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Sweet($x, True)\nrule2: Rompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Red($x, False)\nrule4: Tumpus($x, True) → Red($x, True)\nrule5: Yumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Large($x, True)\nrule7: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Red($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nJompus('Wren', True)\nSweet('Wren', True)\nRed('Wren', False)\nLarge('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Wren', False)\nAccording to the implied fact: Red('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-45_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Each dumpus is sweet. Dumpuses are wumpuses. Wumpuses are not angry. Every wumpus is a tumpus. Each tumpus is happy. Each tumpus is an impus. Impuses are luminous. Every impus is a numpus. Numpuses are opaque. Every numpus is a rompus. Rompuses are large. Every rompus is a vumpus. Each vumpus is fruity. Vumpuses are yumpuses. Yumpuses are not dull. Each yumpus is a jompus. Zumpuses are not fruity.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Sweet($x, True)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Angry($x, False)\nrule4: Wumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Happy($x, True)\nrule6: Tumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Luminous($x, True)\nrule8: Impus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Opaque($x, True)\nrule10: Numpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Large($x, True)\nrule12: Rompus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Fruity($x, True)\nrule14: Vumpus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Dull($x, False)\nrule16: Yumpus($x, True) → Jompus($x, True)\nrule17: Zumpus($x, True) → Fruity($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Dull($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nRompus('Polly', True)\nVumpus('Polly', True)\nYumpus('Polly', True)\nOpaque('Polly', True)\nLarge('Polly', True)\nFruity('Polly', True)\nDull('Polly', False)\nJompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Polly', True)\nAccording to the implied fact: Vumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-175_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a tumpus. Rompuses are not sour. Tumpuses are orange. Every tumpus is a zumpus. Each zumpus is opaque. Zumpuses are numpuses. Each numpus is nervous. Each numpus is a yumpus. Each yumpus is dull. Yumpuses are jompuses. Every jompus is sour. Every jompus is a vumpus. Vumpuses are small. Every vumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nSour($x, bool) ::: Is x sour?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Sour($x, False)\nrule2: Tumpus($x, True) → Orange($x, True)\nrule3: Tumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Opaque($x, True)\nrule5: Zumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Nervous($x, True)\nrule7: Numpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Dull($x, True)\nrule9: Yumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Sour($x, True)\nrule11: Jompus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Small($x, True)\nrule13: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Tumpus($x, True) → Orange($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Nervous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Sour($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sour('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nNumpus('Stella', True)\nYumpus('Stella', True)\nJompus('Stella', True)\nVumpus('Stella', True)\nOrange('Stella', True)\nOpaque('Stella', True)\nNervous('Stella', True)\nDull('Stella', True)\nSour('Stella', True)\nSmall('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Stella', True)\nAccording to the implied fact: Opaque('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-261_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a tumpus. Every tumpus is not happy. Tumpuses are vumpuses. Each vumpus is blue. Each vumpus is a numpus. Every rompus is luminous. Numpuses are bright. Numpuses are yumpuses. Yumpuses are sweet. Yumpuses are jompuses. Each jompus is not luminous. Every jompus is a zumpus. Each zumpus is earthy. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Happy($x, False)\nrule2: Tumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Blue($x, True)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Rompus($x, True) → Luminous($x, True)\nrule6: Numpus($x, True) → Bright($x, True)\nrule7: Numpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Sweet($x, True)\nrule9: Yumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Luminous($x, False)\nrule11: Jompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Earthy($x, True)\nrule13: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Happy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Numpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Luminous($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nNumpus('Wren', True)\nYumpus('Wren', True)\nJompus('Wren', True)\nZumpus('Wren', True)\nHappy('Wren', False)\nBlue('Wren', True)\nBright('Wren', True)\nSweet('Wren', True)\nLuminous('Wren', False)\nEarthy('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Wren', False)\nAccording to the implied fact: Blue('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-411_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Each yumpus is not dull. Each yumpus is a rompus. Each dumpus is not feisty. Rompuses are cold. Every rompus is an impus. Every impus is sweet. Each impus is a tumpus. Tumpuses are feisty. Every tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Dull($x, False)\nrule2: Yumpus($x, True) → Rompus($x, True)\nrule3: Dumpus($x, True) → Feisty($x, False)\nrule4: Rompus($x, True) → Cold($x, True)\nrule5: Rompus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Sweet($x, True)\nrule7: Impus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Feisty($x, True)\nrule9: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Impus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nSweet('Fae', True)\nFeisty('Fae', True)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is sweet.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSweet('Fae', True)\nAccording to the implied fact: Sweet('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-134_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Every rompus is not large. Each rompus is a jompus. Every jompus is not brown. Jompuses are zumpuses. Each zumpus is bright. Zumpuses are vumpuses. Vumpuses are angry. Every vumpus is an impus. Every impus is cold. Impuses are numpuses. Each numpus is sweet. Tumpuses are not sweet. Every numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Large($x, False)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Brown($x, False)\nrule4: Jompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Bright($x, True)\nrule6: Zumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Angry($x, True)\nrule8: Vumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Cold($x, True)\nrule10: Impus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Sweet($x, True)\nrule12: Tumpus($x, True) → Sweet($x, False)\nrule13: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Angry($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Sweet($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nImpus('Max', True)\nNumpus('Max', True)\nBright('Max', True)\nAngry('Max', True)\nCold('Max', True)\nSweet('Max', True)\nDumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Max', True)\nAccording to the known fact: Zumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-264_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Vumpuses are not small. Vumpuses are tumpuses. Each tumpus is blue. Tumpuses are wumpuses. Wumpuses are fruity. Wumpuses are yumpuses. Each yumpus is not kind. Yumpuses are rompuses. Rompuses are dull. Rompuses are jompuses. Every impus is kind. Every jompus is happy. Each jompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Small($x, False)\nrule2: Vumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Blue($x, True)\nrule4: Tumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Fruity($x, True)\nrule6: Wumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Kind($x, False)\nrule8: Yumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Dull($x, True)\nrule10: Rompus($x, True) → Jompus($x, True)\nrule11: Impus($x, True) → Kind($x, True)\nrule12: Jompus($x, True) → Happy($x, True)\nrule13: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Fruity($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Kind($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Jompus($x, True) → Happy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nYumpus('Fae', True)\nRompus('Fae', True)\nJompus('Fae', True)\nBlue('Fae', True)\nFruity('Fae', True)\nKind('Fae', False)\nDull('Fae', True)\nHappy('Fae', True)\nNumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Fae', False)\nAccording to the implied fact: Blue('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-422_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Each tumpus is floral. Tumpuses are impuses. Impuses are orange. Rompuses are wooden. Impuses are zumpuses. Zumpuses are not wooden. Every zumpus is a yumpus. Every yumpus is cold. Every yumpus is a vumpus. Each vumpus is bitter. Every vumpus is a numpus. Each numpus is not nervous. Each numpus is a jompus. Every jompus is transparent. Each jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Floral($x, True)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Orange($x, True)\nrule4: Rompus($x, True) → Wooden($x, True)\nrule5: Impus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Wooden($x, False)\nrule7: Zumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Cold($x, True)\nrule9: Yumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Bitter($x, True)\nrule11: Vumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Nervous($x, False)\nrule13: Numpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Transparent($x, True)\nrule15: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Wooden($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Nervous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nYumpus('Rex', True)\nVumpus('Rex', True)\nNumpus('Rex', True)\nJompus('Rex', True)\nWooden('Rex', False)\nCold('Rex', True)\nBitter('Rex', True)\nNervous('Rex', False)\nTransparent('Rex', True)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Rex', False)\nAccording to the implied fact: Bitter('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-478_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a rompus. Every rompus is spicy. Rompuses are zumpuses. Every zumpus is not cold. Zumpuses are dumpuses. Every jompus is not angry. Each dumpus is large. Dumpuses are wumpuses. Each wumpus is brown. Wumpuses are yumpuses. Yumpuses are angry. Yumpuses are tumpuses. Tumpuses are floral. Every tumpus is a numpus. Every numpus is wooden. Every numpus is a vumpus. Every vumpus is opaque. Vumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Spicy($x, True)\nrule2: Rompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Cold($x, False)\nrule4: Zumpus($x, True) → Dumpus($x, True)\nrule5: Jompus($x, True) → Angry($x, False)\nrule6: Dumpus($x, True) → Large($x, True)\nrule7: Dumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Brown($x, True)\nrule9: Wumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Angry($x, True)\nrule11: Yumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Floral($x, True)\nrule13: Tumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Wooden($x, True)\nrule15: Numpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Opaque($x, True)\nrule17: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Cold($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Dumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Brown('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Angry('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Wooden($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nDumpus('Rex', True)\nWumpus('Rex', True)\nYumpus('Rex', True)\nTumpus('Rex', True)\nNumpus('Rex', True)\nVumpus('Rex', True)\nSpicy('Rex', True)\nCold('Rex', False)\nLarge('Rex', True)\nBrown('Rex', True)\nAngry('Rex', True)\nFloral('Rex', True)\nWooden('Rex', True)\nOpaque('Rex', True)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Rex', True)\nAccording to the implied fact: Cold('Rex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-337_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Each impus is fruity. Dumpuses are small. Every impus is a tumpus. Each tumpus is opaque. Each tumpus is a vumpus. Each vumpus is blue. Every vumpus is a rompus. Rompuses are not small. Every rompus is a zumpus. Zumpuses are not mean. Each zumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMean($x, bool) ::: Is x mean?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Fruity($x, True)\nrule2: Dumpus($x, True) → Small($x, True)\nrule3: Impus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Opaque($x, True)\nrule5: Tumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Blue($x, True)\nrule7: Vumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Small($x, False)\nrule9: Rompus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Mean($x, False)\nrule11: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Mean($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Mean('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Max', True)\nVumpus('Max', True)\nRompus('Max', True)\nZumpus('Max', True)\nFruity('Max', True)\nOpaque('Max', True)\nBlue('Max', True)\nSmall('Max', False)\nMean('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', True)\nAccording to the implied fact: Vumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-412_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Zumpuses are large. Zumpuses are impuses. Impuses are not dull. Impuses are yumpuses. Yumpuses are hot. Yumpuses are wumpuses. Each wumpus is not opaque. Every wumpus is a tumpus. Tumpuses are not feisty. Every jompus is feisty. Each tumpus is a numpus. Each numpus is kind. Numpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Large($x, True)\nrule2: Zumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Dull($x, False)\nrule4: Impus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Hot($x, True)\nrule6: Yumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Opaque($x, False)\nrule8: Wumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Feisty($x, False)\nrule10: Jompus($x, True) → Feisty($x, True)\nrule11: Tumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Kind($x, True)\nrule13: Numpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Dull($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Feisty($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Feisty('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Kind($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Kind('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nYumpus('Sally', True)\nWumpus('Sally', True)\nTumpus('Sally', True)\nNumpus('Sally', True)\nLarge('Sally', True)\nDull('Sally', False)\nHot('Sally', True)\nOpaque('Sally', False)\nFeisty('Sally', False)\nKind('Sally', True)\nVumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', False)\nAccording to the implied fact: Impus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-334_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Every dumpus is dull. Every wumpus is shy. Each wumpus is a rompus. Each rompus is aggressive. Every rompus is a numpus. Each numpus is opaque. Every numpus is a yumpus. Yumpuses are not sweet. Yumpuses are tumpuses. Each tumpus is not dull. Each tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Dull($x, True)\nrule2: Wumpus($x, True) → Shy($x, True)\nrule3: Wumpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Aggressive($x, True)\nrule5: Rompus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Opaque($x, True)\nrule7: Numpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Sweet($x, False)\nrule9: Yumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Dull($x, False)\nrule11: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Wumpus($x, True) → Shy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Sweet($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Dull($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nNumpus('Wren', True)\nYumpus('Wren', True)\nTumpus('Wren', True)\nShy('Wren', True)\nAggressive('Wren', True)\nOpaque('Wren', True)\nSweet('Wren', False)\nDull('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Wren', False)\nAccording to the implied fact: Numpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-259_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Impuses are small. Impuses are tumpuses. Every vumpus is not small. Tumpuses are brown. Every tumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Small($x, True)\nrule2: Impus($x, True) → Tumpus($x, True)\nrule3: Vumpus($x, True) → Small($x, False)\nrule4: Tumpus($x, True) → Brown($x, True)\nrule5: Tumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Tumpus($x, True) → Brown($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Brown('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nSmall('Sam', True)\nBrown('Sam', True)\nYumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sam', True)\nAccording to the implied fact: Tumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-423_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Each yumpus is feisty. Every yumpus is a wumpus. Each wumpus is aggressive. Wumpuses are vumpuses. Every vumpus is temperate. Impuses are not aggressive. Vumpuses are rompuses. Every rompus is sour. Each rompus is a jompus. Each jompus is small. Jompuses are numpuses. Every numpus is not liquid. Every numpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Feisty($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Aggressive($x, True)\nrule4: Wumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Temperate($x, True)\nrule6: Impus($x, True) → Aggressive($x, False)\nrule7: Vumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Sour($x, True)\nrule9: Rompus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Small($x, True)\nrule11: Jompus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Liquid($x, False)\nrule13: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Feisty($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Feisty('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Liquid($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nVumpus('Sally', True)\nRompus('Sally', True)\nJompus('Sally', True)\nNumpus('Sally', True)\nFeisty('Sally', True)\nAggressive('Sally', True)\nTemperate('Sally', True)\nSour('Sally', True)\nSmall('Sally', True)\nLiquid('Sally', False)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sally', True)\nAccording to the implied fact: Zumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-212_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Impuses are earthy. Impuses are numpuses. Numpuses are not mean. Numpuses are jompuses. Each jompus is not small. Every jompus is a rompus. Every rompus is blue. Rompuses are wumpuses. Dumpuses are not blue.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Earthy($x, True)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Mean($x, False)\nrule4: Numpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Small($x, False)\nrule6: Jompus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Blue($x, True)\nrule8: Rompus($x, True) → Wumpus($x, True)\nrule9: Dumpus($x, True) → Blue($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Mean($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nNumpus('Wren', True)\nJompus('Wren', True)\nRompus('Wren', True)\nEarthy('Wren', True)\nMean('Wren', False)\nSmall('Wren', False)\nBlue('Wren', True)\nWumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Wren', False)\nAccording to the implied fact: Mean('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-105_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Yumpuses are not earthy. Every yumpus is a wumpus. Wumpuses are not opaque. Every wumpus is a tumpus. Every tumpus is liquid. Every tumpus is a rompus. Every rompus is not feisty. Each rompus is a vumpus. Each vumpus is kind. Each vumpus is a zumpus. Each dumpus is brown. Every zumpus is not temperate. Each zumpus is a jompus. Jompuses are not brown. Jompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Earthy($x, False)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Opaque($x, False)\nrule4: Wumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Liquid($x, True)\nrule6: Tumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Feisty($x, False)\nrule8: Rompus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Kind($x, True)\nrule10: Vumpus($x, True) → Zumpus($x, True)\nrule11: Dumpus($x, True) → Brown($x, True)\nrule12: Zumpus($x, True) → Temperate($x, False)\nrule13: Zumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Brown($x, False)\nrule15: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Liquid($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Feisty($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Kind($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Zumpus($x, True) → Temperate($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Brown($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nVumpus('Alex', True)\nZumpus('Alex', True)\nJompus('Alex', True)\nLiquid('Alex', True)\nFeisty('Alex', False)\nKind('Alex', True)\nTemperate('Alex', False)\nBrown('Alex', False)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Alex', True)\nAccording to the implied fact: Zumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-308_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Jompuses are not opaque. Jompuses are tumpuses. Every tumpus is not small. Every vumpus is small. Every tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Opaque($x, False)\nrule2: Jompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Small($x, False)\nrule4: Vumpus($x, True) → Small($x, True)\nrule5: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Small($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nOpaque('Fae', False)\nSmall('Fae', False)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Fae', True)\nAccording to the implied fact: Opaque('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-47_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Every yumpus is kind. Yumpuses are wumpuses. Zumpuses are not kind. Each wumpus is not bright. Wumpuses are jompuses. Jompuses are not liquid. Every jompus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Kind($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Zumpus($x, True) → Kind($x, False)\nrule4: Wumpus($x, True) → Bright($x, False)\nrule5: Wumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Liquid($x, False)\nrule7: Jompus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Wumpus($x, True) → Bright($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Liquid($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nJompus('Rex', True)\nKind('Rex', True)\nBright('Rex', False)\nLiquid('Rex', False)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is kind.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nKind('Rex', True)\nAccording to the implied fact: Kind('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-377_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Each impus is not dull. Dumpuses are not feisty. Each dumpus is a yumpus. Every yumpus is dull. Each yumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Dull($x, False)\nrule2: Dumpus($x, True) → Feisty($x, False)\nrule3: Dumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Dull($x, True)\nrule5: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nDull('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Sam', True)\nAccording to the known fact: Yumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-262_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a rompus. Rompuses are shy. Rompuses are wumpuses. Each wumpus is not large. Each dumpus is not red. Every wumpus is a tumpus. Every tumpus is not angry. Each tumpus is a zumpus. Zumpuses are red. Each zumpus is a numpus. Numpuses are hot. Numpuses are yumpuses. Every yumpus is sour. Every yumpus is a vumpus. Vumpuses are dull. Each vumpus is a jompus. Every jompus is earthy. Jompuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Shy($x, True)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Large($x, False)\nrule4: Dumpus($x, True) → Red($x, False)\nrule5: Wumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Angry($x, False)\nrule7: Tumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Red($x, True)\nrule9: Zumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Hot($x, True)\nrule11: Numpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Sour($x, True)\nrule13: Yumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Dull($x, True)\nrule15: Vumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Earthy($x, True)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Angry($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Angry('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Red($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Sour($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sour('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Earthy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nTumpus('Stella', True)\nZumpus('Stella', True)\nNumpus('Stella', True)\nYumpus('Stella', True)\nVumpus('Stella', True)\nJompus('Stella', True)\nShy('Stella', True)\nLarge('Stella', False)\nAngry('Stella', False)\nRed('Stella', True)\nHot('Stella', True)\nSour('Stella', True)\nDull('Stella', True)\nEarthy('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is hot.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHot('Stella', True)\nAccording to the implied fact: Hot('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-14_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Every rompus is not large. Impuses are dull. Each impus is a wumpus. Every wumpus is blue. Each wumpus is a dumpus. Dumpuses are not temperate. Dumpuses are yumpuses. Yumpuses are not metallic. Every yumpus is a vumpus. Vumpuses are large. Vumpuses are zumpuses. Zumpuses are earthy. Zumpuses are tumpuses. Tumpuses are shy. Tumpuses are numpuses. Each numpus is opaque. Numpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Large($x, False)\nrule2: Impus($x, True) → Dull($x, True)\nrule3: Impus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Blue($x, True)\nrule5: Wumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Temperate($x, False)\nrule7: Dumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Metallic($x, False)\nrule9: Yumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Large($x, True)\nrule11: Vumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Earthy($x, True)\nrule13: Zumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Shy($x, True)\nrule15: Tumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Opaque($x, True)\nrule17: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Temperate($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Metallic($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nYumpus('Sally', True)\nVumpus('Sally', True)\nZumpus('Sally', True)\nTumpus('Sally', True)\nNumpus('Sally', True)\nBlue('Sally', True)\nTemperate('Sally', False)\nMetallic('Sally', False)\nLarge('Sally', True)\nEarthy('Sally', True)\nShy('Sally', True)\nOpaque('Sally', True)\nJompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Sally', True)\nAccording to the implied fact: Earthy('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-221_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Each yumpus is not happy. Each zumpus is temperate. Yumpuses are wumpuses. Wumpuses are sour. Every wumpus is a numpus. Each numpus is not bright. Numpuses are dumpuses. Dumpuses are blue. Each dumpus is a rompus. Rompuses are not temperate. Every rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Happy($x, False)\nrule2: Zumpus($x, True) → Temperate($x, True)\nrule3: Yumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Sour($x, True)\nrule5: Wumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Bright($x, False)\nrule7: Numpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Blue($x, True)\nrule9: Dumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Temperate($x, False)\nrule11: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Happy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Sour($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Bright($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Temperate($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nNumpus('Alex', True)\nDumpus('Alex', True)\nRompus('Alex', True)\nHappy('Alex', False)\nSour('Alex', True)\nBright('Alex', False)\nBlue('Alex', True)\nTemperate('Alex', False)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Alex', False)\nAccording to the implied fact: Numpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-362_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Each yumpus is amenable. Each yumpus is a dumpus. Each dumpus is bright. Every dumpus is a jompus. Every jompus is liquid. Jompuses are vumpuses. Each vumpus is red. Vumpuses are zumpuses. Zumpuses are sour. Each zumpus is a wumpus. Every wumpus is transparent. Each wumpus is a numpus. Each numpus is fruity. Each numpus is an impus. Every impus is not happy. Impuses are rompuses. Tumpuses are not transparent.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSour($x, bool) ::: Is x sour?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Amenable($x, True)\nrule2: Yumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Bright($x, True)\nrule4: Dumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Liquid($x, True)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Red($x, True)\nrule8: Vumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Sour($x, True)\nrule10: Zumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Transparent($x, True)\nrule12: Wumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Fruity($x, True)\nrule14: Numpus($x, True) → Impus($x, True)\nrule15: Impus($x, True) → Happy($x, False)\nrule16: Impus($x, True) → Rompus($x, True)\nrule17: Tumpus($x, True) → Transparent($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Liquid($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Red($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Red('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Sour($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Happy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nVumpus('Max', True)\nZumpus('Max', True)\nWumpus('Max', True)\nNumpus('Max', True)\nImpus('Max', True)\nBright('Max', True)\nLiquid('Max', True)\nRed('Max', True)\nSour('Max', True)\nTransparent('Max', True)\nFruity('Max', True)\nHappy('Max', False)\nRompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Max', False)\nAccording to the implied fact: Wumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-391_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Every wumpus is sweet. Each wumpus is a rompus. Rompuses are happy. Rompuses are yumpuses. Every yumpus is not metallic. Each yumpus is a zumpus. Zumpuses are not angry. Each zumpus is a vumpus. Vumpuses are not opaque. Each vumpus is a tumpus. Each tumpus is not large. Every tumpus is a numpus. Each numpus is dull. Every dumpus is blue. Numpuses are jompuses. Jompuses are not blue. Jompuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAngry($x, bool) ::: Is x angry?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Sweet($x, True)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Happy($x, True)\nrule4: Rompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Metallic($x, False)\nrule6: Yumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Angry($x, False)\nrule8: Zumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Opaque($x, False)\nrule10: Vumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Large($x, False)\nrule12: Tumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Dull($x, True)\nrule14: Dumpus($x, True) → Blue($x, True)\nrule15: Numpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Blue($x, False)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Zumpus($x, True) → Angry($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Opaque($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Large($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Blue($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nTumpus('Wren', True)\nNumpus('Wren', True)\nJompus('Wren', True)\nAngry('Wren', False)\nOpaque('Wren', False)\nLarge('Wren', False)\nDull('Wren', True)\nBlue('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Wren', False)\nAccording to the implied fact: Tumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-301_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Each zumpus is liquid. Zumpuses are rompuses. Rompuses are feisty. Each yumpus is not bright. Rompuses are impuses. Every impus is not opaque. Impuses are numpuses. Every numpus is not red. Numpuses are vumpuses. Every vumpus is bright. Vumpuses are tumpuses. Tumpuses are fruity. Every tumpus is a dumpus. Dumpuses are spicy. Every dumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Liquid($x, True)\nrule2: Zumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Feisty($x, True)\nrule4: Yumpus($x, True) → Bright($x, False)\nrule5: Rompus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Opaque($x, False)\nrule7: Impus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Red($x, False)\nrule9: Numpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Bright($x, True)\nrule11: Vumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Fruity($x, True)\nrule13: Tumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Spicy($x, True)\nrule15: Dumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Rompus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Red($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Spicy('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nImpus('Fae', True)\nNumpus('Fae', True)\nVumpus('Fae', True)\nTumpus('Fae', True)\nDumpus('Fae', True)\nLiquid('Fae', True)\nFeisty('Fae', True)\nOpaque('Fae', False)\nRed('Fae', False)\nBright('Fae', True)\nFruity('Fae', True)\nSpicy('Fae', True)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', False)\nAccording to the implied fact: Vumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-396_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Dumpuses are angry. Every dumpus is an impus. Each impus is large. Impuses are wumpuses. Each wumpus is metallic. Wumpuses are vumpuses. Vumpuses are sour. Vumpuses are jompuses. Every jompus is fruity. Jompuses are yumpuses. Each yumpus is not feisty. Each yumpus is a rompus. Each rompus is temperate. Rompuses are tumpuses. Each tumpus is dull. Every tumpus is a zumpus. Numpuses are not metallic.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Angry($x, True)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Large($x, True)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Metallic($x, True)\nrule6: Wumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Sour($x, True)\nrule8: Vumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Fruity($x, True)\nrule10: Jompus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Feisty($x, False)\nrule12: Yumpus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Temperate($x, True)\nrule14: Rompus($x, True) → Tumpus($x, True)\nrule15: Tumpus($x, True) → Dull($x, True)\nrule16: Tumpus($x, True) → Zumpus($x, True)\nrule17: Numpus($x, True) → Metallic($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Sour($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Feisty($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nVumpus('Wren', True)\nJompus('Wren', True)\nYumpus('Wren', True)\nRompus('Wren', True)\nTumpus('Wren', True)\nLarge('Wren', True)\nMetallic('Wren', True)\nSour('Wren', True)\nFruity('Wren', True)\nFeisty('Wren', False)\nTemperate('Wren', True)\nDull('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', True)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-368_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Every yumpus is large. Tumpuses are not large. Every tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Large($x, True)\nrule2: Tumpus($x, True) → Large($x, False)\nrule3: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Tumpus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nLarge('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Max', True)\nAccording to the implied fact: Large('Max', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-351_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Rompuses are bright. Rompuses are jompuses. Jompuses are not large. Jompuses are impuses. Every impus is feisty. Impuses are tumpuses. Each tumpus is blue. Tumpuses are vumpuses. Each numpus is not wooden. Each vumpus is not kind. Vumpuses are dumpuses. Each dumpus is temperate. Dumpuses are zumpuses. Zumpuses are wooden. Zumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Large($x, False)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Feisty($x, True)\nrule6: Impus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Blue($x, True)\nrule8: Tumpus($x, True) → Vumpus($x, True)\nrule9: Numpus($x, True) → Wooden($x, False)\nrule10: Vumpus($x, True) → Kind($x, False)\nrule11: Vumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Temperate($x, True)\nrule13: Dumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Wooden($x, True)\nrule15: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Feisty($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Vumpus($x, True) → Kind($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nTumpus('Max', True)\nVumpus('Max', True)\nDumpus('Max', True)\nZumpus('Max', True)\nFeisty('Max', True)\nBlue('Max', True)\nKind('Max', False)\nTemperate('Max', True)\nWooden('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Max', True)\nAccording to the implied fact: Yumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-90_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Each vumpus is not fruity. Every zumpus is red. Zumpuses are tumpuses. Each tumpus is fruity. Tumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Fruity($x, False)\nrule2: Zumpus($x, True) → Red($x, True)\nrule3: Zumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Fruity($x, True)\nrule5: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Zumpus($x, True) → Red($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTumpus('Rex', True)\nRed('Rex', True)\nFruity('Rex', True)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Rex', False)\nAccording to the implied fact: Fruity('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-98_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Dumpuses are not dull. Vumpuses are cold. Every dumpus is a tumpus. Tumpuses are not spicy. Tumpuses are wumpuses. Each wumpus is amenable. Wumpuses are impuses. Every impus is liquid. Each impus is a jompus. Jompuses are not cold. Jompuses are yumpuses. Each yumpus is orange. Yumpuses are rompuses. Every rompus is not fruity. Every rompus is a zumpus. Zumpuses are happy. Zumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Dull($x, False)\nrule2: Vumpus($x, True) → Cold($x, True)\nrule3: Dumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Spicy($x, False)\nrule5: Tumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Amenable($x, True)\nrule7: Wumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Liquid($x, True)\nrule9: Impus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Cold($x, False)\nrule11: Jompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Orange($x, True)\nrule13: Yumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Fruity($x, False)\nrule15: Rompus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Happy($x, True)\nrule17: Zumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Jompus($x, True) → Cold($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Fruity($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nRompus('Polly', True)\nZumpus('Polly', True)\nCold('Polly', False)\nOrange('Polly', True)\nFruity('Polly', False)\nHappy('Polly', True)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Polly', False)\nAccording to the known fact: Jompus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-179_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Yumpuses are opaque. Every yumpus is a wumpus. Rompuses are not floral. Wumpuses are aggressive. Each wumpus is a zumpus. Each zumpus is temperate. Zumpuses are impuses. Every impus is floral. Every impus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nAggressive($x, bool) ::: Is x aggressive?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Opaque($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Rompus($x, True) → Floral($x, False)\nrule4: Wumpus($x, True) → Aggressive($x, True)\nrule5: Wumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Temperate($x, True)\nrule7: Zumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Floral($x, True)\nrule9: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Aggressive('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Floral($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nZumpus('Alex', True)\nImpus('Alex', True)\nOpaque('Alex', True)\nAggressive('Alex', True)\nTemperate('Alex', True)\nFloral('Alex', True)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAggressive('Alex', False)\nAccording to the implied fact: Aggressive('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-134_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Numpuses are earthy. Every numpus is a vumpus. Each vumpus is not hot. Each vumpus is a wumpus. Wumpuses are sour. Each wumpus is a jompus. Jompuses are opaque. Every jompus is an impus. Each impus is not wooden. Every impus is a dumpus. Dumpuses are angry. Each dumpus is a tumpus. Tumpuses are blue. Tumpuses are rompuses. Rompuses are nervous. Rompuses are yumpuses. Zumpuses are wooden.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Earthy($x, True)\nrule2: Numpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Hot($x, False)\nrule4: Vumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Sour($x, True)\nrule6: Wumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Opaque($x, True)\nrule8: Jompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Wooden($x, False)\nrule10: Impus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Angry($x, True)\nrule12: Dumpus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Blue($x, True)\nrule14: Tumpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Nervous($x, True)\nrule16: Rompus($x, True) → Yumpus($x, True)\nrule17: Zumpus($x, True) → Wooden($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Impus($x, True) → Wooden($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Angry($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Angry('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nTumpus('Alex', True)\nRompus('Alex', True)\nWooden('Alex', False)\nAngry('Alex', True)\nBlue('Alex', True)\nNervous('Alex', True)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Alex', False)\nAccording to the implied fact: Rompus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-366_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Numpuses are not cold. Each dumpus is cold. Numpuses are rompuses. Rompuses are not mean. Rompuses are wumpuses. Wumpuses are nervous. Every wumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Cold($x, False)\nrule2: Dumpus($x, True) → Cold($x, True)\nrule3: Numpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Mean($x, False)\nrule5: Rompus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Nervous($x, True)\nrule7: Wumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Cold($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Mean($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Mean('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Nervous('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nRompus('Polly', True)\nWumpus('Polly', True)\nCold('Polly', False)\nMean('Polly', False)\nNervous('Polly', True)\nVumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Polly', False)\nAccording to the implied fact: Wumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-342_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Numpuses are brown. Vumpuses are fruity. Each numpus is a zumpus. Every zumpus is dull. Zumpuses are rompuses. Each rompus is not fruity. Rompuses are dumpuses. Each dumpus is sour. Each dumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Brown($x, True)\nrule2: Vumpus($x, True) → Fruity($x, True)\nrule3: Numpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Dull($x, True)\nrule5: Zumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Fruity($x, False)\nrule7: Rompus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Sour($x, True)\nrule9: Dumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Brown($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nRompus('Fae', True)\nDumpus('Fae', True)\nBrown('Fae', True)\nDull('Fae', True)\nFruity('Fae', False)\nSour('Fae', True)\nTumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', True)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-26_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Every impus is bright. Tumpuses are not luminous. Impuses are wumpuses. Every wumpus is sour. Each wumpus is a numpus. Each numpus is aggressive. Every numpus is a vumpus. Each vumpus is luminous. Vumpuses are rompuses. Rompuses are opaque. Rompuses are zumpuses. Every zumpus is earthy. Every zumpus is a yumpus. Yumpuses are large. Yumpuses are dumpuses. Dumpuses are shy. Every dumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Bright($x, True)\nrule2: Tumpus($x, True) → Luminous($x, False)\nrule3: Impus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Sour($x, True)\nrule5: Wumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Aggressive($x, True)\nrule7: Numpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Luminous($x, True)\nrule9: Vumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Opaque($x, True)\nrule11: Rompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Earthy($x, True)\nrule13: Zumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Large($x, True)\nrule15: Yumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Shy($x, True)\nrule17: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Sour($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Luminous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nVumpus('Rex', True)\nRompus('Rex', True)\nZumpus('Rex', True)\nYumpus('Rex', True)\nDumpus('Rex', True)\nSour('Rex', True)\nAggressive('Rex', True)\nLuminous('Rex', True)\nOpaque('Rex', True)\nEarthy('Rex', True)\nLarge('Rex', True)\nShy('Rex', True)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Rex', True)\nAccording to the implied fact: Large('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-72_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Every vumpus is metallic. Jompuses are not fruity. Each vumpus is an impus. Impuses are hot. Impuses are wumpuses. Each wumpus is orange. Wumpuses are zumpuses. Zumpuses are fruity. Each zumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Metallic($x, True)\nrule2: Jompus($x, True) → Fruity($x, False)\nrule3: Vumpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Hot($x, True)\nrule5: Impus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Orange($x, True)\nrule7: Wumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Fruity($x, True)\nrule9: Zumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nFruity('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Sam', True)\nAccording to the implied fact: Fruity('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-391_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Impuses are feisty. Each impus is a zumpus. Zumpuses are mean. Zumpuses are rompuses. Every rompus is bright. Each rompus is a dumpus. Dumpuses are not large. Each wumpus is not mean. Every dumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Feisty($x, True)\nrule2: Impus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Mean($x, True)\nrule4: Zumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Bright($x, True)\nrule6: Rompus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Large($x, False)\nrule8: Wumpus($x, True) → Mean($x, False)\nrule9: Dumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Mean($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Mean('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nDumpus('Rex', True)\nMean('Rex', True)\nBright('Rex', True)\nLarge('Rex', False)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Rex', True)\nAccording to the implied fact: Bright('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-423_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Tumpuses are not large. Zumpuses are bitter. Every zumpus is a numpus. Every numpus is not aggressive. Each numpus is a yumpus. Every yumpus is large. Yumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Large($x, False)\nrule2: Zumpus($x, True) → Bitter($x, True)\nrule3: Zumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Aggressive($x, False)\nrule5: Numpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Large($x, True)\nrule7: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Yumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nLarge('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', False)\nAccording to the implied fact: Impus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-409_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Each rompus is not blue. Rompuses are jompuses. Jompuses are nervous. Jompuses are numpuses. Tumpuses are earthy. Numpuses are not earthy. Every numpus is a wumpus. Wumpuses are not amenable. Wumpuses are vumpuses. Every vumpus is cold. Vumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAmenable($x, bool) ::: Is x amenable?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Blue($x, False)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Nervous($x, True)\nrule4: Jompus($x, True) → Numpus($x, True)\nrule5: Tumpus($x, True) → Earthy($x, True)\nrule6: Numpus($x, True) → Earthy($x, False)\nrule7: Numpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Amenable($x, False)\nrule9: Wumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Cold($x, True)\nrule11: Vumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Nervous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Numpus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Amenable($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Sally', True)\nWumpus('Sally', True)\nVumpus('Sally', True)\nNervous('Sally', True)\nEarthy('Sally', False)\nAmenable('Sally', False)\nCold('Sally', True)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Sally', False)\nAccording to the implied fact: Amenable('Sally', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-257_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Impuses are not nervous. Impuses are wumpuses. Every wumpus is not floral. Wumpuses are tumpuses. Each tumpus is opaque. Tumpuses are rompuses. Yumpuses are not opaque.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Nervous($x, False)\nrule2: Impus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Floral($x, False)\nrule4: Wumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Opaque($x, True)\nrule6: Tumpus($x, True) → Rompus($x, True)\nrule7: Yumpus($x, True) → Opaque($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Nervous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Floral($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nTumpus('Sally', True)\nNervous('Sally', False)\nFloral('Sally', False)\nOpaque('Sally', True)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sally', False)\nAccording to the implied fact: Rompus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-46_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Jompuses are opaque. Jompuses are rompuses. Rompuses are not large. Dumpuses are large. Each rompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Opaque($x, True)\nrule2: Jompus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Large($x, False)\nrule4: Dumpus($x, True) → Large($x, True)\nrule5: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Large($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nOpaque('Sam', True)\nLarge('Sam', False)\nYumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Sam', False)\nAccording to the implied fact: Large('Sam', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-74_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Rompuses are dull. Rompuses are impuses. Each impus is red. Each impus is a tumpus. Tumpuses are not fruity. Each tumpus is a zumpus. Each zumpus is shy. Each zumpus is a jompus. Every jompus is not bitter. Jompuses are wumpuses. Each numpus is aggressive. Wumpuses are hot. Each wumpus is a dumpus. Every dumpus is not aggressive. Each dumpus is a yumpus. Yumpuses are transparent. Yumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Dull($x, True)\nrule2: Rompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Red($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Fruity($x, False)\nrule6: Tumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Shy($x, True)\nrule8: Zumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Bitter($x, False)\nrule10: Jompus($x, True) → Wumpus($x, True)\nrule11: Numpus($x, True) → Aggressive($x, True)\nrule12: Wumpus($x, True) → Hot($x, True)\nrule13: Wumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Aggressive($x, False)\nrule15: Dumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Transparent($x, True)\nrule17: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Zumpus($x, True) → Shy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bitter('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Wumpus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Aggressive($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nWumpus('Max', True)\nDumpus('Max', True)\nYumpus('Max', True)\nShy('Max', True)\nBitter('Max', False)\nHot('Max', True)\nAggressive('Max', False)\nTransparent('Max', True)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Max', False)\nAccording to the implied fact: Dumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-12_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a rompus. Impuses are opaque. Impuses are rompuses. Every rompus is not floral. Rompuses are tumpuses. Tumpuses are not brown. Every tumpus is a wumpus. Wumpuses are happy. Every wumpus is a numpus. Every numpus is liquid. Each numpus is a jompus. Each dumpus is floral.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Opaque($x, True)\nrule2: Impus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Floral($x, False)\nrule4: Rompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Brown($x, False)\nrule6: Tumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Happy($x, True)\nrule8: Wumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Liquid($x, True)\nrule10: Numpus($x, True) → Jompus($x, True)\nrule11: Dumpus($x, True) → Floral($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Brown($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Liquid('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nWumpus('Stella', True)\nNumpus('Stella', True)\nFloral('Stella', False)\nBrown('Stella', False)\nHappy('Stella', True)\nLiquid('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Stella', False)\nAccording to the implied fact: Brown('Stella', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-161_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Every jompus is dull. Jompuses are yumpuses. Every yumpus is earthy. Each yumpus is a rompus. Rompuses are not small. Every rompus is a tumpus. Tumpuses are opaque. Every numpus is bitter. Every tumpus is a vumpus. Each vumpus is not bitter. Each vumpus is a zumpus. Zumpuses are blue. Each zumpus is a wumpus. Wumpuses are aggressive. Wumpuses are dumpuses. Every dumpus is not metallic. Dumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Dull($x, True)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Earthy($x, True)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Small($x, False)\nrule6: Rompus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Opaque($x, True)\nrule8: Numpus($x, True) → Bitter($x, True)\nrule9: Tumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Bitter($x, False)\nrule11: Vumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Blue($x, True)\nrule13: Zumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Aggressive($x, True)\nrule15: Wumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Metallic($x, False)\nrule17: Dumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Bitter($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Metallic($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nTumpus('Wren', True)\nVumpus('Wren', True)\nZumpus('Wren', True)\nWumpus('Wren', True)\nDumpus('Wren', True)\nEarthy('Wren', True)\nSmall('Wren', False)\nOpaque('Wren', True)\nBitter('Wren', False)\nBlue('Wren', True)\nAggressive('Wren', True)\nMetallic('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', False)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-380_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Each zumpus is not fruity. Zumpuses are dumpuses. Dumpuses are temperate. Each dumpus is a vumpus. Vumpuses are not mean. Jompuses are not dull. Every vumpus is a numpus. Every numpus is dull. Each numpus is a rompus. Rompuses are shy. Every rompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Fruity($x, False)\nrule2: Zumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Temperate($x, True)\nrule4: Dumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Mean($x, False)\nrule6: Jompus($x, True) → Dull($x, False)\nrule7: Vumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Dull($x, True)\nrule9: Numpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Shy($x, True)\nrule11: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Fruity($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Mean($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Mean('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Shy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nVumpus('Alex', True)\nNumpus('Alex', True)\nRompus('Alex', True)\nFruity('Alex', False)\nTemperate('Alex', True)\nMean('Alex', False)\nDull('Alex', True)\nShy('Alex', True)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Alex', True)\nAccording to the implied fact: Yumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-130_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Each yumpus is bright. Yumpuses are wumpuses. Wumpuses are not sweet. Wumpuses are jompuses. Each jompus is brown. Each jompus is a zumpus. Every zumpus is feisty. Zumpuses are tumpuses. Each tumpus is not large. Tumpuses are dumpuses. Each rompus is large. Dumpuses are cold. Dumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Bright($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Sweet($x, False)\nrule4: Wumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Brown($x, True)\nrule6: Jompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Feisty($x, True)\nrule8: Zumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Large($x, False)\nrule10: Tumpus($x, True) → Dumpus($x, True)\nrule11: Rompus($x, True) → Large($x, True)\nrule12: Dumpus($x, True) → Cold($x, True)\nrule13: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Sweet($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Dumpus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nJompus('Stella', True)\nZumpus('Stella', True)\nTumpus('Stella', True)\nDumpus('Stella', True)\nBright('Stella', True)\nSweet('Stella', False)\nBrown('Stella', True)\nFeisty('Stella', True)\nLarge('Stella', False)\nCold('Stella', True)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not sweet.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSweet('Stella', False)\nAccording to the implied fact: Sweet('Stella', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-173_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Every yumpus is shy. Every yumpus is a dumpus. Dumpuses are bitter. Dumpuses are zumpuses. Zumpuses are not hot. Zumpuses are impuses. Each tumpus is luminous. Impuses are not earthy. Impuses are vumpuses. Each vumpus is not luminous. Vumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Shy($x, True)\nrule2: Yumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Bitter($x, True)\nrule4: Dumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Hot($x, False)\nrule6: Zumpus($x, True) → Impus($x, True)\nrule7: Tumpus($x, True) → Luminous($x, True)\nrule8: Impus($x, True) → Earthy($x, False)\nrule9: Impus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Luminous($x, False)\nrule11: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Shy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Hot($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Impus($x, True) → Earthy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Luminous($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nZumpus('Fae', True)\nImpus('Fae', True)\nVumpus('Fae', True)\nShy('Fae', True)\nBitter('Fae', True)\nHot('Fae', False)\nEarthy('Fae', False)\nLuminous('Fae', False)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', True)\nAccording to the implied fact: Vumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-389_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Every vumpus is not red. Vumpuses are wumpuses. Wumpuses are hot. Wumpuses are numpuses. Each rompus is dull. Each numpus is luminous. Numpuses are yumpuses. Every yumpus is not dull. Yumpuses are impuses. Impuses are not earthy. Every impus is a dumpus. Dumpuses are not angry. Dumpuses are zumpuses. Zumpuses are not large. Zumpuses are jompuses. Every jompus is transparent. Jompuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Red($x, False)\nrule2: Vumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Hot($x, True)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Rompus($x, True) → Dull($x, True)\nrule6: Numpus($x, True) → Luminous($x, True)\nrule7: Numpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Dull($x, False)\nrule9: Yumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Earthy($x, False)\nrule11: Impus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Angry($x, False)\nrule13: Dumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Large($x, False)\nrule15: Zumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Transparent($x, True)\nrule17: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Numpus($x, True) → Luminous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Dull($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Earthy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Angry($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Angry('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Stella', True)\nYumpus('Stella', True)\nImpus('Stella', True)\nDumpus('Stella', True)\nZumpus('Stella', True)\nJompus('Stella', True)\nHot('Stella', True)\nLuminous('Stella', True)\nDull('Stella', False)\nEarthy('Stella', False)\nAngry('Stella', False)\nLarge('Stella', False)\nTransparent('Stella', True)\nTumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Stella', False)\nAccording to the implied fact: Transparent('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-301_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Every vumpus is blue. Each vumpus is a yumpus. Every yumpus is not sweet. Yumpuses are wumpuses. Wumpuses are earthy. Wumpuses are jompuses. Jompuses are not aggressive. Every jompus is a numpus. Numpuses are dull. Numpuses are tumpuses. Tumpuses are opaque. Tumpuses are zumpuses. Rompuses are not opaque.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Blue($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Sweet($x, False)\nrule4: Yumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Earthy($x, True)\nrule6: Wumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Aggressive($x, False)\nrule8: Jompus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Dull($x, True)\nrule10: Numpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Opaque($x, True)\nrule12: Tumpus($x, True) → Zumpus($x, True)\nrule13: Rompus($x, True) → Opaque($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Aggressive($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nNumpus('Rex', True)\nTumpus('Rex', True)\nEarthy('Rex', True)\nAggressive('Rex', False)\nDull('Rex', True)\nOpaque('Rex', True)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Rex', True)\nAccording to the implied fact: Opaque('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-48_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Vumpuses are feisty. Every vumpus is a rompus. Zumpuses are not transparent. Rompuses are not bitter. Rompuses are numpuses. Each numpus is small. Every numpus is a wumpus. Every wumpus is transparent. Wumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Feisty($x, True)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Zumpus($x, True) → Transparent($x, False)\nrule4: Rompus($x, True) → Bitter($x, False)\nrule5: Rompus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Small($x, True)\nrule7: Numpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Transparent($x, True)\nrule9: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Rompus($x, True) → Bitter($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Sam', True)\nWumpus('Sam', True)\nBitter('Sam', False)\nSmall('Sam', True)\nTransparent('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sam', False)\nAccording to the implied fact: Numpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-377_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a tumpus. Each dumpus is feisty. Dumpuses are tumpuses. Each tumpus is opaque. Tumpuses are numpuses. Numpuses are not luminous. Each numpus is a jompus. Yumpuses are not cold. Each jompus is not bitter. Jompuses are zumpuses. Each zumpus is cold. Each zumpus is a wumpus. Wumpuses are dull. Each wumpus is a vumpus. Vumpuses are not mean. Vumpuses are rompuses. Every rompus is not earthy. Every rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Feisty($x, True)\nrule2: Dumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Opaque($x, True)\nrule4: Tumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Luminous($x, False)\nrule6: Numpus($x, True) → Jompus($x, True)\nrule7: Yumpus($x, True) → Cold($x, False)\nrule8: Jompus($x, True) → Bitter($x, False)\nrule9: Jompus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Cold($x, True)\nrule11: Zumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Dull($x, True)\nrule13: Wumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Mean($x, False)\nrule15: Vumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Earthy($x, False)\nrule17: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Luminous($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bitter('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Mean($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Mean('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Earthy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Stella', True)\nJompus('Stella', True)\nZumpus('Stella', True)\nWumpus('Stella', True)\nVumpus('Stella', True)\nRompus('Stella', True)\nOpaque('Stella', True)\nLuminous('Stella', False)\nBitter('Stella', False)\nCold('Stella', True)\nDull('Stella', True)\nMean('Stella', False)\nEarthy('Stella', False)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Stella', False)\nAccording to the implied fact: Numpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-170_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a zumpus. Impuses are temperate. Each impus is a vumpus. Vumpuses are liquid. Vumpuses are dumpuses. Each jompus is not bright. Dumpuses are opaque. Dumpuses are zumpuses. Zumpuses are bright. Zumpuses are rompuses. Every rompus is small. Each rompus is a wumpus. Wumpuses are nervous. Every wumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Temperate($x, True)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Liquid($x, True)\nrule4: Vumpus($x, True) → Dumpus($x, True)\nrule5: Jompus($x, True) → Bright($x, False)\nrule6: Dumpus($x, True) → Opaque($x, True)\nrule7: Dumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Bright($x, True)\nrule9: Zumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Small($x, True)\nrule11: Rompus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Nervous($x, True)\nrule13: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Nervous('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nRompus('Polly', True)\nWumpus('Polly', True)\nBright('Polly', True)\nSmall('Polly', True)\nNervous('Polly', True)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Polly', True)\nAccording to the implied fact: Small('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-50_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Each impus is opaque. Each dumpus is not floral. Every dumpus is a numpus. Numpuses are not large. Every numpus is a zumpus. Each zumpus is not opaque. Each zumpus is a yumpus. Yumpuses are hot. Every yumpus is a vumpus. Vumpuses are not metallic. Every vumpus is a rompus. Rompuses are bitter. Every rompus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Opaque($x, True)\nrule2: Dumpus($x, True) → Floral($x, False)\nrule3: Dumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Large($x, False)\nrule5: Numpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Opaque($x, False)\nrule7: Zumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Hot($x, True)\nrule9: Yumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Metallic($x, False)\nrule11: Vumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Bitter($x, True)\nrule13: Rompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Opaque($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Metallic($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Bitter($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bitter('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nYumpus('Stella', True)\nVumpus('Stella', True)\nRompus('Stella', True)\nLarge('Stella', False)\nOpaque('Stella', False)\nHot('Stella', True)\nMetallic('Stella', False)\nBitter('Stella', True)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Stella', True)\nAccording to the implied fact: Opaque('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-152_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Each tumpus is not bitter. Every tumpus is a dumpus. Each dumpus is not hot. Dumpuses are yumpuses. Jompuses are not small. Yumpuses are happy. Yumpuses are numpuses. Numpuses are small. Numpuses are impuses. Every impus is luminous. Each impus is a wumpus. Wumpuses are opaque. Wumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bitter($x, False)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Hot($x, False)\nrule4: Dumpus($x, True) → Yumpus($x, True)\nrule5: Jompus($x, True) → Small($x, False)\nrule6: Yumpus($x, True) → Happy($x, True)\nrule7: Yumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Small($x, True)\nrule9: Numpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Luminous($x, True)\nrule11: Impus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Opaque($x, True)\nrule13: Wumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Yumpus($x, True) → Happy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Happy('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Luminous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nImpus('Rex', True)\nWumpus('Rex', True)\nHappy('Rex', True)\nSmall('Rex', True)\nLuminous('Rex', True)\nOpaque('Rex', True)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Rex', False)\nAccording to the implied fact: Numpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-24_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Every wumpus is red. Wumpuses are impuses. Impuses are floral. Each impus is a yumpus. Yumpuses are not large. Yumpuses are rompuses. Rompuses are kind. Every rompus is a vumpus. Vumpuses are bright. Vumpuses are zumpuses. Each jompus is not bright. Each zumpus is feisty. Every zumpus is a tumpus. Each tumpus is not transparent. Every tumpus is a numpus. Every numpus is not hot. Numpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Red($x, True)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Floral($x, True)\nrule4: Impus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Large($x, False)\nrule6: Yumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Kind($x, True)\nrule8: Rompus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Bright($x, True)\nrule10: Vumpus($x, True) → Zumpus($x, True)\nrule11: Jompus($x, True) → Bright($x, False)\nrule12: Zumpus($x, True) → Feisty($x, True)\nrule13: Zumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Transparent($x, False)\nrule15: Tumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Hot($x, False)\nrule17: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Yumpus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Zumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Transparent($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Hot($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nVumpus('Rex', True)\nZumpus('Rex', True)\nTumpus('Rex', True)\nNumpus('Rex', True)\nLarge('Rex', False)\nKind('Rex', True)\nBright('Rex', True)\nFeisty('Rex', True)\nTransparent('Rex', False)\nHot('Rex', False)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Rex', True)\nAccording to the implied fact: Dumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-128_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Numpuses are large. Numpuses are tumpuses. Every tumpus is sweet. Tumpuses are wumpuses. Each wumpus is earthy. Each dumpus is bright. Wumpuses are vumpuses. Vumpuses are not bright. Vumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Large($x, True)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Sweet($x, True)\nrule4: Tumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Earthy($x, True)\nrule6: Dumpus($x, True) → Bright($x, True)\nrule7: Wumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Bright($x, False)\nrule9: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Earthy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nEarthy('Sally', True)\nBright('Sally', False)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sally', False)\nAccording to the implied fact: Rompus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-232_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Every dumpus is not kind. Every dumpus is a rompus. Rompuses are not opaque. Every yumpus is feisty. Each rompus is a jompus. Jompuses are bright. Every jompus is a tumpus. Every tumpus is not large. Each tumpus is a numpus. Every numpus is blue. Numpuses are vumpuses. Vumpuses are fruity. Vumpuses are zumpuses. Every zumpus is luminous. Every zumpus is an impus. Impuses are not feisty. Each impus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Kind($x, False)\nrule2: Dumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Opaque($x, False)\nrule4: Yumpus($x, True) → Feisty($x, True)\nrule5: Rompus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Bright($x, True)\nrule7: Jompus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Large($x, False)\nrule9: Tumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Blue($x, True)\nrule11: Numpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Fruity($x, True)\nrule13: Vumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Luminous($x, True)\nrule15: Zumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Feisty($x, False)\nrule17: Impus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Numpus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Luminous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Feisty($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nZumpus('Max', True)\nImpus('Max', True)\nBlue('Max', True)\nFruity('Max', True)\nLuminous('Max', True)\nFeisty('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Max', True)\nAccording to the implied fact: Blue('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-41_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Numpuses are not luminous. Numpuses are rompuses. Each rompus is red. Every rompus is a wumpus. Each wumpus is cold. Wumpuses are tumpuses. Every tumpus is large. Tumpuses are zumpuses. Zumpuses are not bitter. Each jompus is not large. Every zumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Luminous($x, False)\nrule2: Numpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Red($x, True)\nrule4: Rompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Cold($x, True)\nrule6: Wumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Large($x, True)\nrule8: Tumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Bitter($x, False)\nrule10: Jompus($x, True) → Large($x, False)\nrule11: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Red($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Bitter($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nTumpus('Wren', True)\nZumpus('Wren', True)\nRed('Wren', True)\nCold('Wren', True)\nLarge('Wren', True)\nBitter('Wren', False)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', False)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-99_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Each wumpus is bright. Wumpuses are numpuses. Numpuses are shy. Each numpus is a dumpus. Each dumpus is not luminous. Every dumpus is a jompus. Every jompus is red. Every jompus is a vumpus. Vumpuses are large. Vumpuses are zumpuses. Zumpuses are not transparent. Zumpuses are yumpuses. Yumpuses are not hot. Yumpuses are tumpuses. Tumpuses are earthy. Tumpuses are rompuses. Every impus is transparent.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Bright($x, True)\nrule2: Wumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Shy($x, True)\nrule4: Numpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Luminous($x, False)\nrule6: Dumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Red($x, True)\nrule8: Jompus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Large($x, True)\nrule10: Vumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Transparent($x, False)\nrule12: Zumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Hot($x, False)\nrule14: Yumpus($x, True) → Tumpus($x, True)\nrule15: Tumpus($x, True) → Earthy($x, True)\nrule16: Tumpus($x, True) → Rompus($x, True)\nrule17: Impus($x, True) → Transparent($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Luminous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Red($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Hot($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nJompus('Polly', True)\nVumpus('Polly', True)\nZumpus('Polly', True)\nYumpus('Polly', True)\nTumpus('Polly', True)\nShy('Polly', True)\nLuminous('Polly', False)\nRed('Polly', True)\nLarge('Polly', True)\nTransparent('Polly', False)\nHot('Polly', False)\nEarthy('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Polly', True)\nAccording to the implied fact: Rompus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-311_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a numpus. Numpuses are bright. Each numpus is a zumpus. Each rompus is not red. Zumpuses are kind. Zumpuses are impuses. Each impus is cold. Impuses are yumpuses. Yumpuses are red. Yumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Bright($x, True)\nrule2: Numpus($x, True) → Zumpus($x, True)\nrule3: Rompus($x, True) → Red($x, False)\nrule4: Zumpus($x, True) → Kind($x, True)\nrule5: Zumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Cold($x, True)\nrule7: Impus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Red($x, True)\nrule9: Yumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Zumpus($x, True) → Kind($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Red($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nImpus('Wren', True)\nYumpus('Wren', True)\nBright('Wren', True)\nKind('Wren', True)\nCold('Wren', True)\nRed('Wren', True)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Wren', False)\nAccording to the known fact: Numpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-404_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Jompuses are not earthy. Every jompus is a numpus. Numpuses are metallic. Numpuses are vumpuses. Vumpuses are dull. Vumpuses are rompuses. Every rompus is not orange. Every rompus is a dumpus. Dumpuses are transparent. Dumpuses are wumpuses. Wumpuses are kind. Wumpuses are yumpuses. Yumpuses are bitter. Every yumpus is a zumpus. Impuses are not bitter.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Earthy($x, False)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Metallic($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Dull($x, True)\nrule6: Vumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Orange($x, False)\nrule8: Rompus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Transparent($x, True)\nrule10: Dumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Kind($x, True)\nrule12: Wumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Bitter($x, True)\nrule14: Yumpus($x, True) → Zumpus($x, True)\nrule15: Impus($x, True) → Bitter($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Orange($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Kind($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Kind('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nDumpus('Sam', True)\nWumpus('Sam', True)\nYumpus('Sam', True)\nDull('Sam', True)\nOrange('Sam', False)\nTransparent('Sam', True)\nKind('Sam', True)\nBitter('Sam', True)\nZumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Sam', True)\nAccording to the implied fact: Orange('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-478_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Each tumpus is transparent. Every tumpus is a vumpus. Vumpuses are sour. Vumpuses are dumpuses. Every impus is aggressive. Dumpuses are luminous. Dumpuses are zumpuses. Each zumpus is not aggressive. Zumpuses are yumpuses. Yumpuses are large. Yumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nAggressive($x, bool) ::: Is x aggressive?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Transparent($x, True)\nrule2: Tumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Sour($x, True)\nrule4: Vumpus($x, True) → Dumpus($x, True)\nrule5: Impus($x, True) → Aggressive($x, True)\nrule6: Dumpus($x, True) → Luminous($x, True)\nrule7: Dumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Aggressive($x, False)\nrule9: Zumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Large($x, True)\nrule11: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Sour($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Dumpus($x, True) → Luminous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Aggressive($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nDumpus('Max', True)\nZumpus('Max', True)\nYumpus('Max', True)\nTransparent('Max', True)\nSour('Max', True)\nLuminous('Max', True)\nAggressive('Max', False)\nLarge('Max', True)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Max', True)\nAccording to the implied fact: Luminous('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-485_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Each rompus is shy. Rompuses are impuses. Each impus is temperate. Every impus is a tumpus. Tumpuses are luminous. Tumpuses are yumpuses. Each wumpus is bright. Yumpuses are not bright. Yumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Shy($x, True)\nrule2: Rompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Temperate($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Luminous($x, True)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Wumpus($x, True) → Bright($x, True)\nrule8: Yumpus($x, True) → Bright($x, False)\nrule9: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Luminous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Yumpus($x, True) → Bright($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nYumpus('Fae', True)\nTemperate('Fae', True)\nLuminous('Fae', True)\nBright('Fae', False)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Fae', True)\nAccording to the implied fact: Bright('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-151_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Jompuses are dull. Each jompus is a yumpus. Yumpuses are earthy. Tumpuses are not earthy. Every yumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Dull($x, True)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Earthy($x, True)\nrule4: Tumpus($x, True) → Earthy($x, False)\nrule5: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nDull('Stella', True)\nEarthy('Stella', True)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Stella', False)\nAccording to the implied fact: Dull('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-458_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Numpuses are not orange. Every numpus is a rompus. Rompuses are angry. Impuses are orange. Every rompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Orange($x, False)\nrule2: Numpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Angry($x, True)\nrule4: Impus($x, True) → Orange($x, True)\nrule5: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Orange($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nOrange('Fae', False)\nAngry('Fae', True)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Fae', True)\nAccording to the implied fact: Rompus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-98_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Each numpus is opaque. Wumpuses are orange. Wumpuses are impuses. Impuses are dull. Each impus is a rompus. Rompuses are cold. Rompuses are zumpuses. Every zumpus is not aggressive. Each zumpus is a jompus. Every jompus is not nervous. Every jompus is a tumpus. Tumpuses are spicy. Tumpuses are vumpuses. Vumpuses are not small. Every vumpus is a yumpus. Yumpuses are not opaque. Yumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Opaque($x, True)\nrule2: Wumpus($x, True) → Orange($x, True)\nrule3: Wumpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Dull($x, True)\nrule5: Impus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Cold($x, True)\nrule7: Rompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Aggressive($x, False)\nrule9: Zumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Nervous($x, False)\nrule11: Jompus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Spicy($x, True)\nrule13: Tumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Small($x, False)\nrule15: Vumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Opaque($x, False)\nrule17: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Tumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Small($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Rex', True)\nYumpus('Rex', True)\nSpicy('Rex', True)\nSmall('Rex', False)\nOpaque('Rex', False)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Rex', True)\nAccording to the known fact: Tumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-368_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Jompuses are dull. Jompuses are numpuses. Each numpus is mean. Numpuses are vumpuses. Every vumpus is not earthy. Vumpuses are yumpuses. Yumpuses are liquid. Every yumpus is a dumpus. Dumpuses are red. Dumpuses are wumpuses. Every wumpus is not transparent. Zumpuses are earthy. Every wumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Dull($x, True)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Mean($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Earthy($x, False)\nrule6: Vumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Liquid($x, True)\nrule8: Yumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Red($x, True)\nrule10: Dumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Transparent($x, False)\nrule12: Zumpus($x, True) → Earthy($x, True)\nrule13: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Red($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Red('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Transparent($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nDumpus('Sally', True)\nWumpus('Sally', True)\nEarthy('Sally', False)\nLiquid('Sally', True)\nRed('Sally', True)\nTransparent('Sally', False)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Sally', True)\nAccording to the implied fact: Earthy('Sally', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-461_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Zumpuses are not shy. Zumpuses are impuses. Impuses are earthy. Impuses are rompuses. Each yumpus is shy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Shy($x, False)\nrule2: Zumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Earthy($x, True)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Yumpus($x, True) → Shy($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Shy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nShy('Wren', False)\nEarthy('Wren', True)\nRompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Wren', False)\nAccording to the implied fact: Rompus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-295_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Wumpuses are not fruity. Wumpuses are tumpuses. Tumpuses are not small. Every tumpus is a dumpus. Every zumpus is bright. Dumpuses are kind. Every dumpus is an impus. Impuses are not bright. Impuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Fruity($x, False)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Small($x, False)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Zumpus($x, True) → Bright($x, True)\nrule6: Dumpus($x, True) → Kind($x, True)\nrule7: Dumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Bright($x, False)\nrule9: Impus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Impus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nBright('Sally', False)\nVumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', True)\nAccording to the known fact: Impus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-54_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Each yumpus is mean. Every yumpus is a tumpus. Tumpuses are spicy. Every tumpus is a vumpus. Vumpuses are cold. Vumpuses are wumpuses. Dumpuses are dull. Each wumpus is floral. Wumpuses are impuses. Impuses are not dull. Impuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMean($x, bool) ::: Is x mean?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Mean($x, True)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Spicy($x, True)\nrule4: Tumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Cold($x, True)\nrule6: Vumpus($x, True) → Wumpus($x, True)\nrule7: Dumpus($x, True) → Dull($x, True)\nrule8: Wumpus($x, True) → Floral($x, True)\nrule9: Wumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Dull($x, False)\nrule11: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Impus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDull('Alex', False)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Alex', True)\nAccording to the known fact: Impus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-274_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Every yumpus is kind. Tumpuses are not fruity. Tumpuses are jompuses. Every jompus is not liquid. Jompuses are dumpuses. Every dumpus is small. Dumpuses are vumpuses. Vumpuses are not kind. Vumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Kind($x, True)\nrule2: Tumpus($x, True) → Fruity($x, False)\nrule3: Tumpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Liquid($x, False)\nrule5: Jompus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Small($x, True)\nrule7: Dumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Kind($x, False)\nrule9: Vumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Jompus($x, True) → Liquid($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Kind($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Rex', True)\nVumpus('Rex', True)\nLiquid('Rex', False)\nSmall('Rex', True)\nKind('Rex', False)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Rex', True)\nAccording to the implied fact: Liquid('Rex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-366_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Jompuses are not happy. Each jompus is a dumpus. Every wumpus is not fruity. Each dumpus is metallic. Every dumpus is a rompus. Each rompus is fruity. Rompuses are impuses. Impuses are amenable. Every impus is a zumpus. Zumpuses are not brown. Every zumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Happy($x, False)\nrule2: Jompus($x, True) → Dumpus($x, True)\nrule3: Wumpus($x, True) → Fruity($x, False)\nrule4: Dumpus($x, True) → Metallic($x, True)\nrule5: Dumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Fruity($x, True)\nrule7: Rompus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Amenable($x, True)\nrule9: Impus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Brown($x, False)\nrule11: Zumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Happy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Dumpus($x, True) → Metallic($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Amenable($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Brown($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nRompus('Polly', True)\nImpus('Polly', True)\nZumpus('Polly', True)\nHappy('Polly', False)\nMetallic('Polly', True)\nFruity('Polly', True)\nAmenable('Polly', True)\nBrown('Polly', False)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Polly', True)\nAccording to the implied fact: Zumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-244_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Every wumpus is not hot. Wumpuses are tumpuses. Tumpuses are not large. Each jompus is large. Tumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Hot($x, False)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Large($x, False)\nrule4: Jompus($x, True) → Large($x, True)\nrule5: Tumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nHot('Alex', False)\nLarge('Alex', False)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Alex', True)\nAccording to the implied fact: Yumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-243_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Dumpuses are not earthy. Impuses are small. Every impus is a jompus. Jompuses are earthy. Each jompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Earthy($x, False)\nrule2: Impus($x, True) → Small($x, True)\nrule3: Impus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Earthy($x, True)\nrule5: Jompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Jompus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nEarthy('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Max', True)\nAccording to the implied fact: Yumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-307_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Each dumpus is fruity. Dumpuses are vumpuses. Each vumpus is not blue. Rompuses are not liquid. Vumpuses are tumpuses. Each tumpus is not kind. Each tumpus is a jompus. Every jompus is large. Each jompus is a wumpus. Wumpuses are transparent. Each wumpus is a numpus. Every numpus is not temperate. Numpuses are yumpuses. Each yumpus is liquid. Yumpuses are zumpuses. Every zumpus is happy. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Fruity($x, True)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Blue($x, False)\nrule4: Rompus($x, True) → Liquid($x, False)\nrule5: Vumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Kind($x, False)\nrule7: Tumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Large($x, True)\nrule9: Jompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Transparent($x, True)\nrule11: Wumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Temperate($x, False)\nrule13: Numpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Liquid($x, True)\nrule15: Yumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Happy($x, True)\nrule17: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Jompus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Temperate($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nNumpus('Polly', True)\nYumpus('Polly', True)\nZumpus('Polly', True)\nLarge('Polly', True)\nTransparent('Polly', True)\nTemperate('Polly', False)\nLiquid('Polly', True)\nHappy('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Polly', False)\nAccording to the implied fact: Transparent('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-2_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Vumpuses are floral. Each vumpus is a jompus. Jompuses are small. Every dumpus is not bitter. Jompuses are zumpuses. Zumpuses are cold. Each zumpus is a yumpus. Every yumpus is orange. Yumpuses are tumpuses. Each tumpus is bitter. Every tumpus is a rompus. Rompuses are dull. Rompuses are wumpuses. Wumpuses are mean. Every wumpus is a numpus. Each numpus is not metallic. Each numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Floral($x, True)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Small($x, True)\nrule4: Dumpus($x, True) → Bitter($x, False)\nrule5: Jompus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Cold($x, True)\nrule7: Zumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Orange($x, True)\nrule9: Yumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Bitter($x, True)\nrule11: Tumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Dull($x, True)\nrule13: Rompus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Mean($x, True)\nrule15: Wumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Metallic($x, False)\nrule17: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Orange('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Mean($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Mean('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Metallic($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Sally', True)\nYumpus('Sally', True)\nTumpus('Sally', True)\nRompus('Sally', True)\nWumpus('Sally', True)\nNumpus('Sally', True)\nSmall('Sally', True)\nCold('Sally', True)\nOrange('Sally', True)\nBitter('Sally', True)\nDull('Sally', True)\nMean('Sally', True)\nMetallic('Sally', False)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Sally', False)\nAccording to the implied fact: Dull('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-264_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Every numpus is not transparent. Every yumpus is wooden. Yumpuses are wumpuses. Each wumpus is transparent. Wumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Transparent($x, False)\nrule2: Yumpus($x, True) → Wooden($x, True)\nrule3: Yumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Transparent($x, True)\nrule5: Wumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTransparent('Alex', True)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Alex', False)\nAccording to the implied fact: Transparent('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-400_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Vumpuses are opaque. Wumpuses are not opaque. Vumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, True)\nrule2: Wumpus($x, True) → Opaque($x, False)\nrule3: Vumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nOpaque('Sam', True)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Sam', True)\nAccording to the implied fact: Opaque('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-313_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Each numpus is hot. Numpuses are rompuses. Each rompus is not orange. Every rompus is a zumpus. Every zumpus is not bright. Each zumpus is a tumpus. Tumpuses are not angry. Every tumpus is a wumpus. Each wumpus is liquid. Wumpuses are vumpuses. Each vumpus is not opaque. Each vumpus is a yumpus. Yumpuses are spicy. Impuses are orange. Yumpuses are dumpuses. Dumpuses are nervous. Each dumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nImpus($x, bool) ::: Does x belong to Impuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Hot($x, True)\nrule2: Numpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Orange($x, False)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Bright($x, False)\nrule6: Zumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Angry($x, False)\nrule8: Tumpus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Liquid($x, True)\nrule10: Wumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Opaque($x, False)\nrule12: Vumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Spicy($x, True)\nrule14: Impus($x, True) → Orange($x, True)\nrule15: Yumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Nervous($x, True)\nrule17: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Hot($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Orange($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Angry($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Angry('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nZumpus('Rex', True)\nTumpus('Rex', True)\nWumpus('Rex', True)\nVumpus('Rex', True)\nYumpus('Rex', True)\nDumpus('Rex', True)\nHot('Rex', True)\nOrange('Rex', False)\nBright('Rex', False)\nAngry('Rex', False)\nLiquid('Rex', True)\nOpaque('Rex', False)\nSpicy('Rex', True)\nNervous('Rex', True)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Rex', True)\nAccording to the implied fact: Vumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-6_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Every numpus is sweet. Every numpus is a zumpus. Zumpuses are large. Zumpuses are impuses. Impuses are dull. Jompuses are angry. Every impus is a rompus. Rompuses are not metallic. Each rompus is a dumpus. Dumpuses are transparent. Dumpuses are wumpuses. Every wumpus is earthy. Every wumpus is a yumpus. Each yumpus is not angry. Each yumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Sweet($x, True)\nrule2: Numpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Large($x, True)\nrule4: Zumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Dull($x, True)\nrule6: Jompus($x, True) → Angry($x, True)\nrule7: Impus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Metallic($x, False)\nrule9: Rompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Transparent($x, True)\nrule11: Dumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Earthy($x, True)\nrule13: Wumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Angry($x, False)\nrule15: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Impus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Metallic($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Angry($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nDumpus('Wren', True)\nWumpus('Wren', True)\nYumpus('Wren', True)\nDull('Wren', True)\nMetallic('Wren', False)\nTransparent('Wren', True)\nEarthy('Wren', True)\nAngry('Wren', False)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Wren', False)\nAccording to the implied fact: Rompus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-95_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Every impus is earthy. Every impus is a yumpus. Yumpuses are small. Each yumpus is a dumpus. Dumpuses are happy. Each dumpus is a vumpus. Every vumpus is not sweet. Every vumpus is a tumpus. Every tumpus is liquid. Each tumpus is a jompus. Jompuses are transparent. Every jompus is a numpus. Numpuses are not dull. Numpuses are rompuses. Every rompus is cold. Rompuses are zumpuses. Wumpuses are dull.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Earthy($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Small($x, True)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Happy($x, True)\nrule6: Dumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Sweet($x, False)\nrule8: Vumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Liquid($x, True)\nrule10: Tumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Transparent($x, True)\nrule12: Jompus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Dull($x, False)\nrule14: Numpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Cold($x, True)\nrule16: Rompus($x, True) → Zumpus($x, True)\nrule17: Wumpus($x, True) → Dull($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Sweet($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Sweet('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Dull($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nTumpus('Sally', True)\nJompus('Sally', True)\nNumpus('Sally', True)\nRompus('Sally', True)\nHappy('Sally', True)\nSweet('Sally', False)\nLiquid('Sally', True)\nTransparent('Sally', True)\nDull('Sally', False)\nCold('Sally', True)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not happy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHappy('Sally', False)\nAccording to the implied fact: Happy('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-453_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Vumpuses are not amenable. Impuses are not small. Impuses are wumpuses. Every wumpus is amenable. Each wumpus is a dumpus. Dumpuses are sweet. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Amenable($x, False)\nrule2: Impus($x, True) → Small($x, False)\nrule3: Impus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Amenable($x, True)\nrule5: Wumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Sweet($x, True)\nrule7: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Impus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Amenable($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nDumpus('Wren', True)\nSmall('Wren', False)\nAmenable('Wren', True)\nSweet('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', False)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-366_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Every vumpus is opaque. Vumpuses are jompuses. Each jompus is spicy. Every jompus is a wumpus. Wumpuses are fruity. Wumpuses are tumpuses. Each zumpus is not dull. Tumpuses are mean. Each tumpus is a rompus. Each rompus is large. Every rompus is a yumpus. Yumpuses are liquid. Yumpuses are numpuses. Numpuses are dull. Each numpus is a dumpus. Dumpuses are not cold. Every dumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, True)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Spicy($x, True)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Fruity($x, True)\nrule6: Wumpus($x, True) → Tumpus($x, True)\nrule7: Zumpus($x, True) → Dull($x, False)\nrule8: Tumpus($x, True) → Mean($x, True)\nrule9: Tumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Large($x, True)\nrule11: Rompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Liquid($x, True)\nrule13: Yumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Dull($x, True)\nrule15: Numpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Cold($x, False)\nrule17: Dumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Tumpus($x, True) → Mean($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Mean('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Cold($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nYumpus('Fae', True)\nNumpus('Fae', True)\nDumpus('Fae', True)\nMean('Fae', True)\nLarge('Fae', True)\nLiquid('Fae', True)\nDull('Fae', True)\nCold('Fae', False)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Fae', False)\nAccording to the implied fact: Mean('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-282_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Dumpuses are angry. Dumpuses are tumpuses. Every tumpus is small. Vumpuses are earthy. Tumpuses are wumpuses. Every wumpus is temperate. Wumpuses are zumpuses. Zumpuses are not earthy. Each zumpus is a yumpus. Every yumpus is luminous. Yumpuses are rompuses. Each rompus is shy. Each rompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Angry($x, True)\nrule2: Dumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Small($x, True)\nrule4: Vumpus($x, True) → Earthy($x, True)\nrule5: Tumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Temperate($x, True)\nrule7: Wumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Earthy($x, False)\nrule9: Zumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Luminous($x, True)\nrule11: Yumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Shy($x, True)\nrule13: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Wumpus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Earthy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Luminous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Shy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nYumpus('Alex', True)\nRompus('Alex', True)\nTemperate('Alex', True)\nEarthy('Alex', False)\nLuminous('Alex', True)\nShy('Alex', True)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Alex', True)\nAccording to the implied fact: Luminous('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-32_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a jompus. Every jompus is earthy. Every jompus is an impus. Each impus is temperate. Impuses are numpuses. Each numpus is feisty. Every numpus is a tumpus. Tumpuses are not brown. Each tumpus is a zumpus. Every zumpus is not dull. Each zumpus is a rompus. Rompuses are small. Every rompus is a wumpus. Vumpuses are not temperate. Each wumpus is not wooden. Wumpuses are yumpuses. Yumpuses are not opaque. Each yumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nJompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Earthy($x, True)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Temperate($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Feisty($x, True)\nrule6: Numpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Brown($x, False)\nrule8: Tumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Dull($x, False)\nrule10: Zumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Small($x, True)\nrule12: Rompus($x, True) → Wumpus($x, True)\nrule13: Vumpus($x, True) → Temperate($x, False)\nrule14: Wumpus($x, True) → Wooden($x, False)\nrule15: Wumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Opaque($x, False)\nrule17: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Brown($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Opaque($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Alex', True)\nNumpus('Alex', True)\nTumpus('Alex', True)\nZumpus('Alex', True)\nRompus('Alex', True)\nWumpus('Alex', True)\nYumpus('Alex', True)\nEarthy('Alex', True)\nTemperate('Alex', True)\nFeisty('Alex', True)\nBrown('Alex', False)\nDull('Alex', False)\nSmall('Alex', True)\nWooden('Alex', False)\nOpaque('Alex', False)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Alex', True)\nAccording to the implied fact: Opaque('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-108_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Zumpuses are not large. Zumpuses are dumpuses. Each dumpus is happy. Dumpuses are vumpuses. Each vumpus is not orange. Vumpuses are jompuses. Every jompus is bright. Jompuses are wumpuses. Wumpuses are wooden. Every wumpus is a rompus. Every rompus is not sweet. Each rompus is a yumpus. Numpuses are orange.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Large($x, False)\nrule2: Zumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Happy($x, True)\nrule4: Dumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Orange($x, False)\nrule6: Vumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Bright($x, True)\nrule8: Jompus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Wooden($x, True)\nrule10: Wumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Sweet($x, False)\nrule12: Rompus($x, True) → Yumpus($x, True)\nrule13: Numpus($x, True) → Orange($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Orange($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Orange('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Sweet($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nJompus('Wren', True)\nWumpus('Wren', True)\nRompus('Wren', True)\nHappy('Wren', True)\nOrange('Wren', False)\nBright('Wren', True)\nWooden('Wren', True)\nSweet('Wren', False)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Wren', False)\nAccording to the implied fact: Wooden('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-136_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Every zumpus is aggressive. Zumpuses are tumpuses. Dumpuses are floral. Tumpuses are transparent. Tumpuses are wumpuses. Every wumpus is not brown. Wumpuses are impuses. Each impus is dull. Impuses are jompuses. Every jompus is hot. Each jompus is a rompus. Rompuses are large. Every rompus is a vumpus. Vumpuses are not floral. Each vumpus is a yumpus. Yumpuses are not shy. Yumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Aggressive($x, True)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Dumpus($x, True) → Floral($x, True)\nrule4: Tumpus($x, True) → Transparent($x, True)\nrule5: Tumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Brown($x, False)\nrule7: Wumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Dull($x, True)\nrule9: Impus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Hot($x, True)\nrule11: Jompus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Large($x, True)\nrule13: Rompus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Floral($x, False)\nrule15: Vumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Shy($x, False)\nrule17: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Wumpus($x, True) → Brown($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Floral($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nJompus('Max', True)\nRompus('Max', True)\nVumpus('Max', True)\nYumpus('Max', True)\nBrown('Max', False)\nDull('Max', True)\nHot('Max', True)\nLarge('Max', True)\nFloral('Max', False)\nShy('Max', False)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Max', True)\nAccording to the implied fact: Dull('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-189_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Numpuses are brown. Each numpus is a zumpus. Zumpuses are kind. Every zumpus is a tumpus. Tumpuses are not earthy. Every tumpus is a vumpus. Yumpuses are earthy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Brown($x, True)\nrule2: Numpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Kind($x, True)\nrule4: Zumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Earthy($x, False)\nrule6: Tumpus($x, True) → Vumpus($x, True)\nrule7: Yumpus($x, True) → Earthy($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Brown($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Brown('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Earthy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nTumpus('Rex', True)\nBrown('Rex', True)\nKind('Rex', True)\nEarthy('Rex', False)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Rex', False)\nAccording to the implied fact: Brown('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-162_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a tumpus. Every jompus is sweet. Jompuses are tumpuses. Yumpuses are shy. Tumpuses are not shy. Each tumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Sweet($x, True)\nrule2: Jompus($x, True) → Tumpus($x, True)\nrule3: Yumpus($x, True) → Shy($x, True)\nrule4: Tumpus($x, True) → Shy($x, False)\nrule5: Tumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Tumpus($x, True) → Shy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nShy('Stella', False)\nVumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Stella', False)\nAccording to the known fact: Tumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-358_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Impuses are not luminous. Each wumpus is bright. Each wumpus is a tumpus. Every tumpus is happy. Tumpuses are zumpuses. Zumpuses are not red. Every zumpus is a yumpus. Each yumpus is luminous. Every yumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Luminous($x, False)\nrule2: Wumpus($x, True) → Bright($x, True)\nrule3: Wumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Happy($x, True)\nrule5: Tumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Red($x, False)\nrule7: Zumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Luminous($x, True)\nrule9: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Red($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Luminous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nZumpus('Stella', True)\nYumpus('Stella', True)\nBright('Stella', True)\nHappy('Stella', True)\nRed('Stella', False)\nLuminous('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Stella', True)\nAccording to the known fact: Wumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-250_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Every tumpus is angry. Each rompus is not transparent. Tumpuses are numpuses. Each numpus is not orange. Numpuses are zumpuses. Each zumpus is hot. Zumpuses are jompuses. Each jompus is transparent. Jompuses are yumpuses. Yumpuses are not large. Yumpuses are vumpuses. Every vumpus is bitter. Each vumpus is an impus. Impuses are luminous. Impuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Angry($x, True)\nrule2: Rompus($x, True) → Transparent($x, False)\nrule3: Tumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Orange($x, False)\nrule5: Numpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Hot($x, True)\nrule7: Zumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Transparent($x, True)\nrule9: Jompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Large($x, False)\nrule11: Yumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Bitter($x, True)\nrule13: Vumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Luminous($x, True)\nrule15: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Large($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nYumpus('Sam', True)\nVumpus('Sam', True)\nImpus('Sam', True)\nHot('Sam', True)\nTransparent('Sam', True)\nLarge('Sam', False)\nBitter('Sam', True)\nLuminous('Sam', True)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sam', False)\nAccording to the known fact: Zumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-290_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Impuses are not spicy. Impuses are rompuses. Numpuses are not opaque. Rompuses are amenable. Rompuses are tumpuses. Tumpuses are cold. Tumpuses are wumpuses. Every wumpus is large. Wumpuses are zumpuses. Every zumpus is not luminous. Zumpuses are jompuses. Every jompus is fruity. Every jompus is a yumpus. Every yumpus is opaque. Each yumpus is a dumpus. Dumpuses are shy. Each dumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAmenable($x, bool) ::: Is x amenable?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Spicy($x, False)\nrule2: Impus($x, True) → Rompus($x, True)\nrule3: Numpus($x, True) → Opaque($x, False)\nrule4: Rompus($x, True) → Amenable($x, True)\nrule5: Rompus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Cold($x, True)\nrule7: Tumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Large($x, True)\nrule9: Wumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Luminous($x, False)\nrule11: Zumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Fruity($x, True)\nrule13: Jompus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Opaque($x, True)\nrule15: Yumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Shy($x, True)\nrule17: Dumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Jompus($x, True) → Fruity($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Shy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nDumpus('Fae', True)\nFruity('Fae', True)\nOpaque('Fae', True)\nShy('Fae', True)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Fae', False)\nAccording to the implied fact: Fruity('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-172_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Each impus is not angry. Every impus is a tumpus. Tumpuses are not shy. Tumpuses are vumpuses. Every vumpus is blue. Vumpuses are zumpuses. Zumpuses are temperate. Zumpuses are dumpuses. Dumpuses are not wooden. Dumpuses are jompuses. Numpuses are shy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Angry($x, False)\nrule2: Impus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Shy($x, False)\nrule4: Tumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Blue($x, True)\nrule6: Vumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Temperate($x, True)\nrule8: Zumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Wooden($x, False)\nrule10: Dumpus($x, True) → Jompus($x, True)\nrule11: Numpus($x, True) → Shy($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Angry($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Shy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Wooden($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nVumpus('Wren', True)\nZumpus('Wren', True)\nDumpus('Wren', True)\nAngry('Wren', False)\nShy('Wren', False)\nBlue('Wren', True)\nTemperate('Wren', True)\nWooden('Wren', False)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', True)\nAccording to the known fact: Impus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-244_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Each jompus is floral. Every jompus is a numpus. Every numpus is bright. Numpuses are tumpuses. Vumpuses are not metallic. Every tumpus is shy. Tumpuses are impuses. Each impus is kind. Impuses are yumpuses. Every yumpus is metallic. Every yumpus is a wumpus. Wumpuses are transparent. Each wumpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Floral($x, True)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Bright($x, True)\nrule4: Numpus($x, True) → Tumpus($x, True)\nrule5: Vumpus($x, True) → Metallic($x, False)\nrule6: Tumpus($x, True) → Shy($x, True)\nrule7: Tumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Kind($x, True)\nrule9: Impus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Metallic($x, True)\nrule11: Yumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Transparent($x, True)\nrule13: Wumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Kind($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nImpus('Stella', True)\nYumpus('Stella', True)\nWumpus('Stella', True)\nBright('Stella', True)\nShy('Stella', True)\nKind('Stella', True)\nMetallic('Stella', True)\nTransparent('Stella', True)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', True)\nAccording to the implied fact: Zumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-356_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Every yumpus is large. Yumpuses are numpuses. Numpuses are amenable. Every numpus is a dumpus. Each dumpus is metallic. Each dumpus is a vumpus. Vumpuses are not fruity. Each vumpus is a zumpus. Jompuses are fruity. Zumpuses are shy. Zumpuses are tumpuses. Every tumpus is opaque. Every tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Large($x, True)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Amenable($x, True)\nrule4: Numpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Metallic($x, True)\nrule6: Dumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Fruity($x, False)\nrule8: Vumpus($x, True) → Zumpus($x, True)\nrule9: Jompus($x, True) → Fruity($x, True)\nrule10: Zumpus($x, True) → Shy($x, True)\nrule11: Zumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Opaque($x, True)\nrule13: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Vumpus($x, True) → Fruity($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Zumpus($x, True) → Shy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Sally', True)\nTumpus('Sally', True)\nFruity('Sally', False)\nShy('Sally', True)\nOpaque('Sally', True)\nWumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Sally', False)\nAccording to the implied fact: Opaque('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-239_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Every impus is not floral. Every wumpus is floral. Impuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Floral($x, False)\nrule2: Wumpus($x, True) → Floral($x, True)\nrule3: Impus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nFloral('Stella', False)\nVumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Stella', False)\nAccording to the known fact: Impus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-219_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Every numpus is luminous. Every numpus is an impus. Every impus is mean. Impuses are yumpuses. Every yumpus is sweet. Every yumpus is a dumpus. Dumpuses are hot. Dumpuses are wumpuses. Rompuses are not hot.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nMean($x, bool) ::: Is x mean?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Luminous($x, True)\nrule2: Numpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Mean($x, True)\nrule4: Impus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Sweet($x, True)\nrule6: Yumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Hot($x, True)\nrule8: Dumpus($x, True) → Wumpus($x, True)\nrule9: Rompus($x, True) → Hot($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Yumpus($x, True) → Sweet($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nSweet('Alex', True)\nHot('Alex', True)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Alex', True)\nAccording to the known fact: Yumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-222_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Vumpuses are not sweet. Numpuses are sweet. Numpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Sweet($x, False)\nrule2: Numpus($x, True) → Sweet($x, True)\nrule3: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Numpus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nSweet('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Fae', True)\nAccording to the implied fact: Dumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-95_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Dumpuses are large. Jompuses are not large. Each dumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, True)\nrule2: Jompus($x, True) → Large($x, False)\nrule3: Dumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nLarge('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Wren', False)\nAccording to the implied fact: Large('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-362_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Rompuses are not bright. Each rompus is an impus. Impuses are fruity. Impuses are wumpuses. Each wumpus is brown. Wumpuses are numpuses. Each vumpus is small. Numpuses are not small. Numpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, False)\nrule2: Rompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Fruity($x, True)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Brown($x, True)\nrule6: Wumpus($x, True) → Numpus($x, True)\nrule7: Vumpus($x, True) → Small($x, True)\nrule8: Numpus($x, True) → Small($x, False)\nrule9: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Fruity($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Numpus($x, True) → Small($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nNumpus('Sally', True)\nFruity('Sally', True)\nBrown('Sally', True)\nSmall('Sally', False)\nJompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Sally', False)\nAccording to the implied fact: Small('Sally', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-424_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a numpus. Each yumpus is sweet. Each yumpus is a vumpus. Vumpuses are not kind. Each vumpus is a numpus. Each numpus is not blue. Every numpus is a jompus. Each jompus is transparent. Jompuses are impuses. Every impus is not floral. Each impus is a rompus. Rompuses are luminous. Every rompus is a zumpus. Each zumpus is not nervous. Every zumpus is a wumpus. Wumpuses are cold. Wumpuses are dumpuses. Tumpuses are nervous.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Sweet($x, True)\nrule2: Yumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Kind($x, False)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Blue($x, False)\nrule6: Numpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Transparent($x, True)\nrule8: Jompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Floral($x, False)\nrule10: Impus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Luminous($x, True)\nrule12: Rompus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Nervous($x, False)\nrule14: Zumpus($x, True) → Wumpus($x, True)\nrule15: Wumpus($x, True) → Cold($x, True)\nrule16: Wumpus($x, True) → Dumpus($x, True)\nrule17: Tumpus($x, True) → Nervous($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Blue($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Floral($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Nervous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nImpus('Sam', True)\nRompus('Sam', True)\nZumpus('Sam', True)\nWumpus('Sam', True)\nBlue('Sam', False)\nTransparent('Sam', True)\nFloral('Sam', False)\nLuminous('Sam', True)\nNervous('Sam', False)\nCold('Sam', True)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sam', False)\nAccording to the implied fact: Impus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-262_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Every zumpus is orange. Zumpuses are yumpuses. Yumpuses are luminous. Each impus is not feisty. Every yumpus is a tumpus. Tumpuses are cold. Tumpuses are vumpuses. Vumpuses are feisty. Every vumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Orange($x, True)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Luminous($x, True)\nrule4: Impus($x, True) → Feisty($x, False)\nrule5: Yumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Cold($x, True)\nrule7: Tumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Feisty($x, True)\nrule9: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nFeisty('Stella', True)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Stella', True)\nAccording to the known fact: Vumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-288_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Numpuses are not dull. Every numpus is a jompus. Jompuses are floral. Jompuses are zumpuses. Impuses are hot. Zumpuses are small. Each zumpus is a vumpus. Each vumpus is not hot. Every vumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Dull($x, False)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Floral($x, True)\nrule4: Jompus($x, True) → Zumpus($x, True)\nrule5: Impus($x, True) → Hot($x, True)\nrule6: Zumpus($x, True) → Small($x, True)\nrule7: Zumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Hot($x, False)\nrule9: Vumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Hot($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nVumpus('Sam', True)\nSmall('Sam', True)\nHot('Sam', False)\nYumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is hot.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHot('Sam', True)\nAccording to the implied fact: Hot('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-45_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Every impus is not small. Each impus is a wumpus. Wumpuses are not spicy. Each wumpus is a yumpus. Yumpuses are transparent. Yumpuses are tumpuses. Tumpuses are not floral. Each tumpus is a numpus. Every vumpus is spicy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Small($x, False)\nrule2: Impus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Spicy($x, False)\nrule4: Wumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Transparent($x, True)\nrule6: Yumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Floral($x, False)\nrule8: Tumpus($x, True) → Numpus($x, True)\nrule9: Vumpus($x, True) → Spicy($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Spicy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Floral($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nWumpus('Max', True)\nYumpus('Max', True)\nTumpus('Max', True)\nSmall('Max', False)\nSpicy('Max', False)\nTransparent('Max', True)\nFloral('Max', False)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Max', True)\nAccording to the implied fact: Spicy('Max', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-232_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Tumpuses are temperate. Tumpuses are wumpuses. Wumpuses are not transparent. Wumpuses are impuses. Impuses are liquid. Each impus is a rompus. Each rompus is small. Rompuses are jompuses. Each jompus is bright. Jompuses are zumpuses. Zumpuses are not angry. Zumpuses are yumpuses. Numpuses are not bright.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAngry($x, bool) ::: Is x angry?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Temperate($x, True)\nrule2: Tumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Transparent($x, False)\nrule4: Wumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Liquid($x, True)\nrule6: Impus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Small($x, True)\nrule8: Rompus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Bright($x, True)\nrule10: Jompus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Angry($x, False)\nrule12: Zumpus($x, True) → Yumpus($x, True)\nrule13: Numpus($x, True) → Bright($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Transparent($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Angry($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Angry('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nRompus('Sally', True)\nJompus('Sally', True)\nZumpus('Sally', True)\nTransparent('Sally', False)\nLiquid('Sally', True)\nSmall('Sally', True)\nBright('Sally', True)\nAngry('Sally', False)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sally', False)\nAccording to the implied fact: Rompus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-391_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Each yumpus is earthy. Yumpuses are numpuses. Every numpus is not bitter. Each numpus is an impus. Impuses are not wooden. Impuses are dumpuses. Every dumpus is nervous. Each dumpus is a zumpus. Each wumpus is not nervous.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Earthy($x, True)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Bitter($x, False)\nrule4: Numpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Wooden($x, False)\nrule6: Impus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Nervous($x, True)\nrule8: Dumpus($x, True) → Zumpus($x, True)\nrule9: Wumpus($x, True) → Nervous($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Bitter($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Wooden($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nImpus('Fae', True)\nDumpus('Fae', True)\nEarthy('Fae', True)\nBitter('Fae', False)\nWooden('Fae', False)\nNervous('Fae', True)\nZumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Fae', True)\nAccording to the implied fact: Wooden('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-287_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Wumpuses are bright. Wumpuses are jompuses. Jompuses are not fruity. Every jompus is a vumpus. Zumpuses are not brown. Vumpuses are brown. Vumpuses are yumpuses. Each yumpus is large. Every yumpus is a dumpus. Each dumpus is not bitter. Every dumpus is a numpus. Numpuses are hot. Each numpus is an impus. Every impus is metallic. Each impus is a tumpus. Tumpuses are not amenable. Every tumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Bright($x, True)\nrule2: Wumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Fruity($x, False)\nrule4: Jompus($x, True) → Vumpus($x, True)\nrule5: Zumpus($x, True) → Brown($x, False)\nrule6: Vumpus($x, True) → Brown($x, True)\nrule7: Vumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Large($x, True)\nrule9: Yumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Bitter($x, False)\nrule11: Dumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Hot($x, True)\nrule13: Numpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Metallic($x, True)\nrule15: Impus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Amenable($x, False)\nrule17: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Fruity($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Vumpus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Bitter($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Hot($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Amenable($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nVumpus('Wren', True)\nYumpus('Wren', True)\nDumpus('Wren', True)\nNumpus('Wren', True)\nImpus('Wren', True)\nTumpus('Wren', True)\nBright('Wren', True)\nFruity('Wren', False)\nBrown('Wren', True)\nLarge('Wren', True)\nBitter('Wren', False)\nHot('Wren', True)\nMetallic('Wren', True)\nAmenable('Wren', False)\nRompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Wren', False)\nAccording to the implied fact: Dumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-255_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Every tumpus is hot. Tumpuses are dumpuses. Each dumpus is transparent. Every dumpus is an impus. Every impus is not shy. Impuses are yumpuses. Wumpuses are bright. Yumpuses are angry. Yumpuses are rompuses. Rompuses are not bright. Each rompus is a numpus. Numpuses are red. Numpuses are vumpuses. Vumpuses are floral. Every vumpus is a zumpus. Each zumpus is spicy. Every zumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nAngry($x, bool) ::: Is x angry?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Hot($x, True)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Transparent($x, True)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Shy($x, False)\nrule6: Impus($x, True) → Yumpus($x, True)\nrule7: Wumpus($x, True) → Bright($x, True)\nrule8: Yumpus($x, True) → Angry($x, True)\nrule9: Yumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Bright($x, False)\nrule11: Rompus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Red($x, True)\nrule13: Numpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Floral($x, True)\nrule15: Vumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Spicy($x, True)\nrule17: Zumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Shy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Red($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Spicy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nRompus('Wren', True)\nNumpus('Wren', True)\nVumpus('Wren', True)\nZumpus('Wren', True)\nShy('Wren', False)\nAngry('Wren', True)\nBright('Wren', False)\nRed('Wren', True)\nFloral('Wren', True)\nSpicy('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Wren', True)\nAccording to the implied fact: Spicy('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-246_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Every yumpus is not feisty. Every numpus is sweet. Numpuses are vumpuses. Each vumpus is earthy. Vumpuses are wumpuses. Every wumpus is feisty. Every wumpus is a jompus. Every jompus is not amenable. Every jompus is an impus. Each impus is not hot. Every impus is a tumpus. Tumpuses are luminous. Every tumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Feisty($x, False)\nrule2: Numpus($x, True) → Sweet($x, True)\nrule3: Numpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Earthy($x, True)\nrule5: Vumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Feisty($x, True)\nrule7: Wumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Amenable($x, False)\nrule9: Jompus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Hot($x, False)\nrule11: Impus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Luminous($x, True)\nrule13: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Amenable($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Hot($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nJompus('Polly', True)\nImpus('Polly', True)\nTumpus('Polly', True)\nEarthy('Polly', True)\nFeisty('Polly', True)\nAmenable('Polly', False)\nHot('Polly', False)\nLuminous('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is hot.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHot('Polly', True)\nAccording to the implied fact: Hot('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-313_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Every yumpus is small. Every yumpus is an impus. Each impus is bright. Every impus is a rompus. Rompuses are not sour. Wumpuses are sour. Every rompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSour($x, bool) ::: Is x sour?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Small($x, True)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Bright($x, True)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Sour($x, False)\nrule6: Wumpus($x, True) → Sour($x, True)\nrule7: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Sour($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nRompus('Sally', True)\nSmall('Sally', True)\nBright('Sally', True)\nSour('Sally', False)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', True)\nAccording to the implied fact: Impus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-33_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Yumpuses are dull. Every yumpus is a wumpus. Wumpuses are not opaque. Wumpuses are zumpuses. Each zumpus is not nervous. Each tumpus is not dull. Zumpuses are jompuses. Each jompus is hot. Jompuses are dumpuses. Each dumpus is not small. Dumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Dull($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Opaque($x, False)\nrule4: Wumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Nervous($x, False)\nrule6: Tumpus($x, True) → Dull($x, False)\nrule7: Zumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Hot($x, True)\nrule9: Jompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Small($x, False)\nrule11: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Nervous($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nZumpus('Stella', True)\nJompus('Stella', True)\nDumpus('Stella', True)\nDull('Stella', True)\nOpaque('Stella', False)\nNervous('Stella', False)\nHot('Stella', True)\nSmall('Stella', False)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', False)\nAccording to the implied fact: Zumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-83_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Each tumpus is not transparent. Tumpuses are vumpuses. Each impus is transparent.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Transparent($x, False)\nrule2: Tumpus($x, True) → Vumpus($x, True)\nrule3: Impus($x, True) → Transparent($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nTransparent('Fae', False)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Fae', True)\nAccording to the implied fact: Transparent('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-92_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Every impus is temperate. Impuses are yumpuses. Yumpuses are luminous. Every yumpus is a zumpus. Zumpuses are not brown. Each zumpus is a dumpus. Dumpuses are bright. Vumpuses are brown. Dumpuses are jompuses. Every jompus is transparent. Each jompus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Temperate($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Luminous($x, True)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Brown($x, False)\nrule6: Zumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Bright($x, True)\nrule8: Vumpus($x, True) → Brown($x, True)\nrule9: Dumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Transparent($x, True)\nrule11: Jompus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Brown($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Brown('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nJompus('Sam', True)\nBrown('Sam', False)\nBright('Sam', True)\nTransparent('Sam', True)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Sam', True)\nAccording to the implied fact: Brown('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-388_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Every vumpus is bright. Vumpuses are wumpuses. Each wumpus is not bitter. Wumpuses are numpuses. Each numpus is nervous. Every numpus is a yumpus. Every yumpus is aggressive. Every yumpus is a zumpus. Zumpuses are not large. Every zumpus is a jompus. Every jompus is opaque. Jompuses are rompuses. Rompuses are fruity. Each rompus is a dumpus. Every dumpus is metallic. Every dumpus is an impus. Tumpuses are not metallic.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Bright($x, True)\nrule2: Vumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Bitter($x, False)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Nervous($x, True)\nrule6: Numpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Aggressive($x, True)\nrule8: Yumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Large($x, False)\nrule10: Zumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Opaque($x, True)\nrule12: Jompus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Fruity($x, True)\nrule14: Rompus($x, True) → Dumpus($x, True)\nrule15: Dumpus($x, True) → Metallic($x, True)\nrule16: Dumpus($x, True) → Impus($x, True)\nrule17: Tumpus($x, True) → Metallic($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Zumpus($x, True) → Large($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Metallic($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nRompus('Sally', True)\nDumpus('Sally', True)\nLarge('Sally', False)\nOpaque('Sally', True)\nFruity('Sally', True)\nMetallic('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Sally', True)\nAccording to the implied fact: Fruity('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-15_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Yumpuses are brown. Each yumpus is a dumpus. Tumpuses are not brown.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Brown($x, True)\nrule2: Yumpus($x, True) → Dumpus($x, True)\nrule3: Tumpus($x, True) → Brown($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nBrown('Stella', True)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Stella', False)\nAccording to the known fact: Yumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-414_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Each impus is dull. Each impus is a numpus. Numpuses are large. Every yumpus is not large. Numpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Dull($x, True)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Large($x, True)\nrule4: Yumpus($x, True) → Large($x, False)\nrule5: Numpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nNumpus('Wren', True)\nDull('Wren', True)\nLarge('Wren', True)\nWumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Wren', True)\nAccording to the implied fact: Numpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-317_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Numpuses are fruity. Numpuses are tumpuses. Each tumpus is metallic. Each tumpus is an impus. Impuses are not brown. Every impus is a rompus. Rompuses are angry. Each rompus is a dumpus. Jompuses are bitter. Every dumpus is not bitter. Dumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAngry($x, bool) ::: Is x angry?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Fruity($x, True)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Metallic($x, True)\nrule4: Tumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Brown($x, False)\nrule6: Impus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Angry($x, True)\nrule8: Rompus($x, True) → Dumpus($x, True)\nrule9: Jompus($x, True) → Bitter($x, True)\nrule10: Dumpus($x, True) → Bitter($x, False)\nrule11: Dumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Metallic($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Metallic('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Brown($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Angry($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Dumpus($x, True) → Bitter($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bitter('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Max', True)\nImpus('Max', True)\nRompus('Max', True)\nDumpus('Max', True)\nFruity('Max', True)\nMetallic('Max', True)\nBrown('Max', False)\nAngry('Max', True)\nBitter('Max', False)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Max', True)\nAccording to the implied fact: Metallic('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-465_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a vumpus. Rompuses are bright. Impuses are red. Each rompus is a vumpus. Each vumpus is transparent. Vumpuses are numpuses. Numpuses are not red. Numpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nVumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, True)\nrule2: Impus($x, True) → Red($x, True)\nrule3: Rompus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Transparent($x, True)\nrule5: Vumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Red($x, False)\nrule7: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Red($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nTransparent('Rex', True)\nRed('Rex', False)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Rex', True)\nAccording to the implied fact: Numpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-4_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Rompuses are dull. Each rompus is a yumpus. Each yumpus is not brown. Every yumpus is a dumpus. Each dumpus is not sour. Every dumpus is a vumpus. Every vumpus is not cold. Every vumpus is an impus. Impuses are not shy. Impuses are zumpuses. Each zumpus is transparent. Each tumpus is shy. Zumpuses are numpuses. Each numpus is large. Numpuses are wumpuses. Wumpuses are aggressive. Wumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Dull($x, True)\nrule2: Rompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Brown($x, False)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Sour($x, False)\nrule6: Dumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Cold($x, False)\nrule8: Vumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Shy($x, False)\nrule10: Impus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Transparent($x, True)\nrule12: Tumpus($x, True) → Shy($x, True)\nrule13: Zumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Large($x, True)\nrule15: Numpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Aggressive($x, True)\nrule17: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Brown($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Sour($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Cold($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Shy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nDumpus('Fae', True)\nVumpus('Fae', True)\nImpus('Fae', True)\nZumpus('Fae', True)\nNumpus('Fae', True)\nWumpus('Fae', True)\nDull('Fae', True)\nBrown('Fae', False)\nSour('Fae', False)\nCold('Fae', False)\nShy('Fae', False)\nTransparent('Fae', True)\nLarge('Fae', True)\nAggressive('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', False)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-49_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Each tumpus is happy. Tumpuses are zumpuses. Zumpuses are bright. Zumpuses are yumpuses. Wumpuses are not angry. Yumpuses are angry. Yumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Happy($x, True)\nrule2: Tumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Bright($x, True)\nrule4: Zumpus($x, True) → Yumpus($x, True)\nrule5: Wumpus($x, True) → Angry($x, False)\nrule6: Yumpus($x, True) → Angry($x, True)\nrule7: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nYumpus('Fae', True)\nHappy('Fae', True)\nBright('Fae', True)\nAngry('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', True)\nAccording to the known fact: Tumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-76_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Zumpuses are floral. Every numpus is not blue. Zumpuses are impuses. Each impus is metallic. Impuses are jompuses. Jompuses are blue. Every jompus is a yumpus. Yumpuses are temperate. Each yumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Floral($x, True)\nrule2: Numpus($x, True) → Blue($x, False)\nrule3: Zumpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Metallic($x, True)\nrule5: Impus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Blue($x, True)\nrule7: Jompus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Temperate($x, True)\nrule9: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nJompus('Rex', True)\nYumpus('Rex', True)\nFloral('Rex', True)\nMetallic('Rex', True)\nBlue('Rex', True)\nTemperate('Rex', True)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Rex', False)\nAccording to the implied fact: Yumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-230_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a vumpus. Numpuses are metallic. Each tumpus is not kind. Numpuses are vumpuses. Vumpuses are kind. Every vumpus is a wumpus. Each wumpus is red. Every wumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nVumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Metallic($x, True)\nrule2: Tumpus($x, True) → Kind($x, False)\nrule3: Numpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Kind($x, True)\nrule5: Vumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Red($x, True)\nrule7: Wumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Red($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nKind('Rex', True)\nRed('Rex', True)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Rex', True)\nAccording to the implied fact: Yumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-405_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Every wumpus is not bright. Wumpuses are yumpuses. Yumpuses are not shy. Each jompus is bitter. Yumpuses are dumpuses. Dumpuses are large. Dumpuses are numpuses. Every numpus is not bitter. Each numpus is a zumpus. Every zumpus is not fruity. Each zumpus is a vumpus. Each vumpus is not luminous. Vumpuses are impuses. Impuses are blue. Impuses are tumpuses. Each tumpus is not hot. Tumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Bright($x, False)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Shy($x, False)\nrule4: Jompus($x, True) → Bitter($x, True)\nrule5: Yumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Large($x, True)\nrule7: Dumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Bitter($x, False)\nrule9: Numpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Fruity($x, False)\nrule11: Zumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Luminous($x, False)\nrule13: Vumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Blue($x, True)\nrule15: Impus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Hot($x, False)\nrule17: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Bright($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Bitter($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Fruity($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Luminous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Hot($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nDumpus('Alex', True)\nNumpus('Alex', True)\nZumpus('Alex', True)\nVumpus('Alex', True)\nImpus('Alex', True)\nTumpus('Alex', True)\nBright('Alex', False)\nShy('Alex', False)\nLarge('Alex', True)\nBitter('Alex', False)\nFruity('Alex', False)\nLuminous('Alex', False)\nBlue('Alex', True)\nHot('Alex', False)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Alex', False)\nAccording to the implied fact: Rompus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-443_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Impuses are sweet. Each impus is a jompus. Each jompus is small. Each rompus is not nervous. Jompuses are vumpuses. Vumpuses are earthy. Each vumpus is a numpus. Numpuses are aggressive. Numpuses are wumpuses. Every wumpus is transparent. Wumpuses are zumpuses. Zumpuses are liquid. Every zumpus is a yumpus. Yumpuses are nervous. Yumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Sweet($x, True)\nrule2: Impus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Small($x, True)\nrule4: Rompus($x, True) → Nervous($x, False)\nrule5: Jompus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Earthy($x, True)\nrule7: Vumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Aggressive($x, True)\nrule9: Numpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Transparent($x, True)\nrule11: Wumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Liquid($x, True)\nrule13: Zumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Nervous($x, True)\nrule15: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Numpus($x, True) → Aggressive($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Aggressive('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nZumpus('Alex', True)\nYumpus('Alex', True)\nAggressive('Alex', True)\nTransparent('Alex', True)\nLiquid('Alex', True)\nNervous('Alex', True)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Alex', False)\nAccording to the implied fact: Transparent('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-106_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a jompus. Numpuses are aggressive. Every numpus is a jompus. Each vumpus is shy. Jompuses are wooden. Every jompus is a zumpus. Every zumpus is orange. Zumpuses are yumpuses. Yumpuses are not shy. Yumpuses are impuses. Impuses are spicy. Impuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Aggressive($x, True)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Vumpus($x, True) → Shy($x, True)\nrule4: Jompus($x, True) → Wooden($x, True)\nrule5: Jompus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Orange($x, True)\nrule7: Zumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Shy($x, False)\nrule9: Yumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Spicy($x, True)\nrule11: Impus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Jompus($x, True) → Wooden($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Orange($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nYumpus('Alex', True)\nImpus('Alex', True)\nWooden('Alex', True)\nOrange('Alex', True)\nShy('Alex', False)\nSpicy('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Alex', True)\nAccording to the implied fact: Spicy('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-233_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Dumpuses are red. Each dumpus is a zumpus. Zumpuses are not happy. Each numpus is bright. Zumpuses are wumpuses. Wumpuses are angry. Every wumpus is a vumpus. Vumpuses are floral. Vumpuses are impuses. Impuses are not bright. Impuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Red($x, True)\nrule2: Dumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Happy($x, False)\nrule4: Numpus($x, True) → Bright($x, True)\nrule5: Zumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Angry($x, True)\nrule7: Wumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Floral($x, True)\nrule9: Vumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Bright($x, False)\nrule11: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Wumpus($x, True) → Angry($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Angry('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nImpus('Stella', True)\nAngry('Stella', True)\nFloral('Stella', True)\nBright('Stella', False)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Stella', True)\nAccording to the implied fact: Bright('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-41_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Every dumpus is cold. Each numpus is not cold. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Cold($x, True)\nrule2: Numpus($x, True) → Cold($x, False)\nrule3: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Numpus($x, True) → Cold($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nCold('Rex', False)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Rex', False)\nAccording to the implied fact: Impus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-164_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Impuses are sour. Each impus is a vumpus. Every vumpus is angry. Wumpuses are not angry. Vumpuses are jompuses. Each jompus is not large. Each jompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAngry($x, bool) ::: Is x angry?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Sour($x, True)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Angry($x, True)\nrule4: Wumpus($x, True) → Angry($x, False)\nrule5: Vumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Large($x, False)\nrule7: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Angry($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Angry('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nJompus('Stella', True)\nAngry('Stella', True)\nLarge('Stella', False)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Stella', True)\nAccording to the implied fact: Large('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-259_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Vumpuses are luminous. Vumpuses are numpuses. Numpuses are transparent. Numpuses are wumpuses. Wumpuses are angry. Every jompus is not angry. Each wumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Luminous($x, True)\nrule2: Vumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Transparent($x, True)\nrule4: Numpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Angry($x, True)\nrule6: Jompus($x, True) → Angry($x, False)\nrule7: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Luminous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Angry($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nNumpus('Wren', True)\nWumpus('Wren', True)\nLuminous('Wren', True)\nTransparent('Wren', True)\nAngry('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not angry.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAngry('Wren', False)\nAccording to the implied fact: Angry('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-14_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Every wumpus is sweet. Wumpuses are rompuses. Rompuses are earthy. Every impus is aggressive. Every rompus is a vumpus. Every vumpus is not aggressive. Every vumpus is a jompus. Each jompus is not bright. Jompuses are dumpuses. Each dumpus is red. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Sweet($x, True)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Earthy($x, True)\nrule4: Impus($x, True) → Aggressive($x, True)\nrule5: Rompus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Aggressive($x, False)\nrule7: Vumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Bright($x, False)\nrule9: Jompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Red($x, True)\nrule11: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Aggressive($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Red($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nVumpus('Wren', True)\nJompus('Wren', True)\nDumpus('Wren', True)\nSweet('Wren', True)\nEarthy('Wren', True)\nAggressive('Wren', False)\nBright('Wren', False)\nRed('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Wren', False)\nAccording to the implied fact: Jompus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-392_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Yumpuses are bright. Every jompus is not metallic. Every yumpus is a zumpus. Every zumpus is not bitter. Zumpuses are tumpuses. Tumpuses are metallic. Every tumpus is a dumpus. Dumpuses are brown. Dumpuses are rompuses. Rompuses are mean. Every rompus is an impus. Every impus is not feisty. Every impus is a vumpus. Every vumpus is transparent. Vumpuses are wumpuses. Each wumpus is not hot. Wumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Bright($x, True)\nrule2: Jompus($x, True) → Metallic($x, False)\nrule3: Yumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Bitter($x, False)\nrule5: Zumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Metallic($x, True)\nrule7: Tumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Brown($x, True)\nrule9: Dumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Mean($x, True)\nrule11: Rompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Feisty($x, False)\nrule13: Impus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Transparent($x, True)\nrule15: Vumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Hot($x, False)\nrule17: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Zumpus($x, True) → Bitter($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Mean($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Feisty($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nDumpus('Wren', True)\nRompus('Wren', True)\nImpus('Wren', True)\nVumpus('Wren', True)\nWumpus('Wren', True)\nBitter('Wren', False)\nMetallic('Wren', True)\nBrown('Wren', True)\nMean('Wren', True)\nFeisty('Wren', False)\nTransparent('Wren', True)\nHot('Wren', False)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', True)\nAccording to the implied fact: Impus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-253_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Rompuses are temperate. Rompuses are zumpuses. Every zumpus is bright. Zumpuses are vumpuses. Every impus is not bright.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Temperate($x, True)\nrule2: Rompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Bright($x, True)\nrule4: Zumpus($x, True) → Vumpus($x, True)\nrule5: Impus($x, True) → Bright($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Temperate($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nZumpus('Max', True)\nTemperate('Max', True)\nBright('Max', True)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Max', True)\nAccording to the known fact: Rompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-354_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a tumpus. Every tumpus is red. Every tumpus is a dumpus. Every dumpus is not dull. Each vumpus is dull. Every dumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Red($x, True)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Dull($x, False)\nrule4: Vumpus($x, True) → Dull($x, True)\nrule5: Dumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Red($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Dull($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nDumpus('Stella', True)\nRed('Stella', True)\nDull('Stella', False)\nYumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Stella', False)\nAccording to the implied fact: Dumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-462_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a numpus. Vumpuses are not amenable. Each rompus is not earthy. Rompuses are numpuses. Each numpus is amenable. Every numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Amenable($x, False)\nrule2: Rompus($x, True) → Earthy($x, False)\nrule3: Rompus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Amenable($x, True)\nrule5: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Amenable($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nAmenable('Wren', True)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Wren', False)\nAccording to the known fact: Numpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-78_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Each zumpus is not cold. Zumpuses are yumpuses. Each yumpus is luminous. Yumpuses are impuses. Each impus is not floral. Each impus is a rompus. Each rompus is not nervous. Each rompus is a dumpus. Each numpus is floral. Each dumpus is blue. Dumpuses are wumpuses. Each wumpus is not large. Wumpuses are tumpuses. Tumpuses are dull. Tumpuses are vumpuses. Each vumpus is not angry. Each vumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Cold($x, False)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Luminous($x, True)\nrule4: Yumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Floral($x, False)\nrule6: Impus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Nervous($x, False)\nrule8: Rompus($x, True) → Dumpus($x, True)\nrule9: Numpus($x, True) → Floral($x, True)\nrule10: Dumpus($x, True) → Blue($x, True)\nrule11: Dumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Large($x, False)\nrule13: Wumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Dull($x, True)\nrule15: Tumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Angry($x, False)\nrule17: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Luminous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Floral($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Nervous($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Dumpus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Angry($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nRompus('Max', True)\nDumpus('Max', True)\nWumpus('Max', True)\nTumpus('Max', True)\nVumpus('Max', True)\nLuminous('Max', True)\nFloral('Max', False)\nNervous('Max', False)\nBlue('Max', True)\nLarge('Max', False)\nDull('Max', True)\nAngry('Max', False)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Max', True)\nAccording to the implied fact: Blue('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-321_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Yumpuses are fruity. Yumpuses are numpuses. Every numpus is not angry. Each numpus is an impus. Impuses are not hot. Rompuses are angry. Impuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Fruity($x, True)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Angry($x, False)\nrule4: Numpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Hot($x, False)\nrule6: Rompus($x, True) → Angry($x, True)\nrule7: Impus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Angry($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Hot($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nAngry('Max', False)\nHot('Max', False)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', True)\nAccording to the implied fact: Impus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-464_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Each rompus is floral. Every rompus is a tumpus. Every yumpus is red. Tumpuses are sour. Every tumpus is a vumpus. Every vumpus is not red. Every vumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Floral($x, True)\nrule2: Rompus($x, True) → Tumpus($x, True)\nrule3: Yumpus($x, True) → Red($x, True)\nrule4: Tumpus($x, True) → Sour($x, True)\nrule5: Tumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Red($x, False)\nrule7: Vumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Vumpus($x, True) → Red($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nRed('Fae', False)\nNumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Fae', False)\nAccording to the implied fact: Red('Fae', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-370_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Zumpuses are red. Every zumpus is a wumpus. Every wumpus is not metallic. Wumpuses are tumpuses. Tumpuses are happy. Each tumpus is a vumpus. Vumpuses are bright. Dumpuses are not kind. Each vumpus is a yumpus. Yumpuses are kind. Each yumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Red($x, True)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Metallic($x, False)\nrule4: Wumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Happy($x, True)\nrule6: Tumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Bright($x, True)\nrule8: Dumpus($x, True) → Kind($x, False)\nrule9: Vumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Kind($x, True)\nrule11: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Metallic($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Kind($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nVumpus('Alex', True)\nYumpus('Alex', True)\nMetallic('Alex', False)\nHappy('Alex', True)\nBright('Alex', True)\nKind('Alex', True)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Alex', True)\nAccording to the implied fact: Bright('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-492_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Dumpuses are bright. Dumpuses are vumpuses. Vumpuses are red. Every jompus is not bright. Vumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Bright($x, True)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Red($x, True)\nrule4: Jompus($x, True) → Bright($x, False)\nrule5: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Red($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nVumpus('Fae', True)\nBright('Fae', True)\nRed('Fae', True)\nTumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Fae', True)\nAccording to the implied fact: Red('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-334_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Jompuses are large. Jompuses are impuses. Yumpuses are not happy. Every impus is not orange. Impuses are zumpuses. Every zumpus is happy. Every zumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Large($x, True)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Yumpus($x, True) → Happy($x, False)\nrule4: Impus($x, True) → Orange($x, False)\nrule5: Impus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Happy($x, True)\nrule7: Zumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Impus($x, True) → Orange($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nZumpus('Max', True)\nLarge('Max', True)\nOrange('Max', False)\nHappy('Max', True)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Max', True)\nAccording to the implied fact: Zumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-141_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a tumpus. Every zumpus is wooden. Yumpuses are large. Zumpuses are tumpuses. Every tumpus is not large. Each tumpus is an impus. Each impus is earthy. Impuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Wooden($x, True)\nrule2: Yumpus($x, True) → Large($x, True)\nrule3: Zumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Large($x, False)\nrule5: Tumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Earthy($x, True)\nrule7: Impus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Tumpus($x, True) → Large($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nLarge('Wren', False)\nEarthy('Wren', True)\nWumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', True)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-364_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Every zumpus is transparent. Wumpuses are not aggressive. Zumpuses are jompuses. Jompuses are small. Jompuses are tumpuses. Tumpuses are feisty. Every tumpus is an impus. Impuses are hot. Every impus is a vumpus. Vumpuses are sour. Vumpuses are numpuses. Each numpus is floral. Every numpus is a dumpus. Dumpuses are aggressive. Every dumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, True)\nrule2: Wumpus($x, True) → Aggressive($x, False)\nrule3: Zumpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Small($x, True)\nrule5: Jompus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Feisty($x, True)\nrule7: Tumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Hot($x, True)\nrule9: Impus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Sour($x, True)\nrule11: Vumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Floral($x, True)\nrule13: Numpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Aggressive($x, True)\nrule15: Dumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Impus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Floral($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nNumpus('Sally', True)\nDumpus('Sally', True)\nHot('Sally', True)\nSour('Sally', True)\nFloral('Sally', True)\nAggressive('Sally', True)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Sally', False)\nAccording to the implied fact: Sour('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-63_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Every wumpus is hot. Wumpuses are impuses. Each impus is not earthy. Impuses are numpuses. Each numpus is not mean. Each numpus is a jompus. Each zumpus is not hot. Jompuses are not nervous. Each jompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Hot($x, True)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Earthy($x, False)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Mean($x, False)\nrule6: Numpus($x, True) → Jompus($x, True)\nrule7: Zumpus($x, True) → Hot($x, False)\nrule8: Jompus($x, True) → Nervous($x, False)\nrule9: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Hot($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Earthy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Mean($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Mean('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Jompus($x, True) → Nervous($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Fae', True)\nNumpus('Fae', True)\nJompus('Fae', True)\nHot('Fae', True)\nEarthy('Fae', False)\nMean('Fae', False)\nNervous('Fae', False)\nTumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', False)\nAccording to the implied fact: Tumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-247_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Every vumpus is not earthy. Vumpuses are wumpuses. Wumpuses are mean. Every wumpus is a numpus. Numpuses are shy. Numpuses are impuses. Every impus is not temperate. Impuses are zumpuses. Zumpuses are not opaque. Every zumpus is a jompus. Jompuses are not small. Jompuses are yumpuses. Each yumpus is luminous. Yumpuses are dumpuses. Every tumpus is not luminous. Each dumpus is brown. Dumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Earthy($x, False)\nrule2: Vumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Mean($x, True)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Shy($x, True)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Temperate($x, False)\nrule8: Impus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Opaque($x, False)\nrule10: Zumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Small($x, False)\nrule12: Jompus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Luminous($x, True)\nrule14: Yumpus($x, True) → Dumpus($x, True)\nrule15: Tumpus($x, True) → Luminous($x, False)\nrule16: Dumpus($x, True) → Brown($x, True)\nrule17: Dumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Jompus($x, True) → Small($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Luminous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Dumpus($x, True) → Brown($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nDumpus('Fae', True)\nSmall('Fae', False)\nLuminous('Fae', True)\nBrown('Fae', True)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Fae', False)\nAccording to the implied fact: Dumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-236_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Jompuses are large. Zumpuses are brown. Each jompus is a vumpus. Vumpuses are not bright. Each vumpus is an impus. Each impus is temperate. Impuses are tumpuses. Tumpuses are wooden. Tumpuses are yumpuses. Yumpuses are angry. Each yumpus is a dumpus. Dumpuses are floral. Dumpuses are wumpuses. Each wumpus is not sour. Wumpuses are numpuses. Numpuses are not brown. Each numpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Large($x, True)\nrule2: Zumpus($x, True) → Brown($x, True)\nrule3: Jompus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Bright($x, False)\nrule5: Vumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Temperate($x, True)\nrule7: Impus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Wooden($x, True)\nrule9: Tumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Angry($x, True)\nrule11: Yumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Floral($x, True)\nrule13: Dumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Sour($x, False)\nrule15: Wumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Brown($x, False)\nrule17: Numpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Sour($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Brown($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nWumpus('Fae', True)\nNumpus('Fae', True)\nAngry('Fae', True)\nFloral('Fae', True)\nSour('Fae', False)\nBrown('Fae', False)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Fae', True)\nAccording to the known fact: Yumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-438_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Wumpuses are not bitter. Every wumpus is a yumpus. Every yumpus is not dull. Each yumpus is a tumpus. Tumpuses are small. Every numpus is not transparent. Tumpuses are zumpuses. Zumpuses are transparent. Each zumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Bitter($x, False)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Dull($x, False)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Small($x, True)\nrule6: Numpus($x, True) → Transparent($x, False)\nrule7: Tumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Transparent($x, True)\nrule9: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Dull($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Polly', True)\nZumpus('Polly', True)\nDull('Polly', False)\nSmall('Polly', True)\nTransparent('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Polly', False)\nAccording to the implied fact: Tumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-326_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Tumpuses are not aggressive. Tumpuses are dumpuses. Dumpuses are shy. Every dumpus is a zumpus. Zumpuses are not bitter. Every zumpus is an impus. Every impus is liquid. Numpuses are not bright. Impuses are yumpuses. Yumpuses are bright. Each yumpus is a vumpus. Each vumpus is small. Vumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Aggressive($x, False)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Shy($x, True)\nrule4: Dumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Bitter($x, False)\nrule6: Zumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Liquid($x, True)\nrule8: Numpus($x, True) → Bright($x, False)\nrule9: Impus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Bright($x, True)\nrule11: Yumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Small($x, True)\nrule13: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Alex', True)\nBright('Alex', True)\nSmall('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Alex', True)\nAccording to the known fact: Yumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-138_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a tumpus. Wumpuses are temperate. Every wumpus is a tumpus. Each tumpus is large. Vumpuses are not large. Tumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Temperate($x, True)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Large($x, True)\nrule4: Vumpus($x, True) → Large($x, False)\nrule5: Tumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nLarge('Sally', True)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Sally', False)\nAccording to the implied fact: Yumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-74_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Each jompus is not liquid. Every jompus is a dumpus. Each dumpus is not hot. Dumpuses are zumpuses. Zumpuses are bright. Each zumpus is a tumpus. Tumpuses are earthy. Every vumpus is not happy. Each tumpus is a yumpus. Every yumpus is happy. Each yumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Liquid($x, False)\nrule2: Jompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Hot($x, False)\nrule4: Dumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Bright($x, True)\nrule6: Zumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Earthy($x, True)\nrule8: Vumpus($x, True) → Happy($x, False)\nrule9: Tumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Happy($x, True)\nrule11: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Liquid($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Hot($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nZumpus('Sally', True)\nTumpus('Sally', True)\nYumpus('Sally', True)\nLiquid('Sally', False)\nHot('Sally', False)\nBright('Sally', True)\nEarthy('Sally', True)\nHappy('Sally', True)\nWumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sally', True)\nAccording to the implied fact: Tumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-442_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Each impus is bitter. Impuses are jompuses. Each jompus is not cold. Jompuses are yumpuses. Wumpuses are cold.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Bitter($x, True)\nrule2: Impus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Cold($x, False)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Wumpus($x, True) → Cold($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Cold($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nCold('Sam', False)\nYumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Sam', True)\nAccording to the implied fact: Cold('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-210_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Each dumpus is not liquid. Each yumpus is sour. Each yumpus is a numpus. Numpuses are liquid. Numpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Liquid($x, False)\nrule2: Yumpus($x, True) → Sour($x, True)\nrule3: Yumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Liquid($x, True)\nrule5: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Yumpus($x, True) → Sour($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nSour('Max', True)\nLiquid('Max', True)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Max', False)\nAccording to the implied fact: Sour('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-357_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Wumpuses are transparent. Every wumpus is an impus. Every impus is not luminous. Impuses are dumpuses. Every dumpus is not bright. Every dumpus is a tumpus. Each tumpus is temperate. Tumpuses are yumpuses. Every yumpus is not happy. Every yumpus is a jompus. Jompuses are floral. Jompuses are numpuses. Numpuses are red. Every numpus is a zumpus. Zumpuses are angry. Vumpuses are happy. Every zumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAngry($x, bool) ::: Is x angry?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Transparent($x, True)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Luminous($x, False)\nrule4: Impus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Bright($x, False)\nrule6: Dumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Temperate($x, True)\nrule8: Tumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Happy($x, False)\nrule10: Yumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Floral($x, True)\nrule12: Jompus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Red($x, True)\nrule14: Numpus($x, True) → Zumpus($x, True)\nrule15: Zumpus($x, True) → Angry($x, True)\nrule16: Vumpus($x, True) → Happy($x, True)\nrule17: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Happy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Angry($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nJompus('Sam', True)\nNumpus('Sam', True)\nZumpus('Sam', True)\nTemperate('Sam', True)\nHappy('Sam', False)\nFloral('Sam', True)\nRed('Sam', True)\nAngry('Sam', True)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sam', False)\nAccording to the implied fact: Zumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-437_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Each wumpus is orange. Wumpuses are zumpuses. Every zumpus is floral. Zumpuses are impuses. Impuses are not small. Each impus is a dumpus. Dumpuses are bright. Dumpuses are tumpuses. Numpuses are not floral.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Orange($x, True)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Floral($x, True)\nrule4: Zumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Small($x, False)\nrule6: Impus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Bright($x, True)\nrule8: Dumpus($x, True) → Tumpus($x, True)\nrule9: Numpus($x, True) → Floral($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nImpus('Stella', True)\nDumpus('Stella', True)\nFloral('Stella', True)\nSmall('Stella', False)\nBright('Stella', True)\nTumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Stella', True)\nAccording to the implied fact: Dumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-292_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a wumpus. Wumpuses are aggressive. Each wumpus is a tumpus. Each tumpus is not opaque. Every tumpus is a numpus. Impuses are opaque.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Aggressive($x, True)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Opaque($x, False)\nrule4: Tumpus($x, True) → Numpus($x, True)\nrule5: Impus($x, True) → Opaque($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Aggressive('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nTumpus('Polly', True)\nAggressive('Polly', True)\nOpaque('Polly', False)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Polly', False)\nAccording to the known fact: Wumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-122_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Wumpuses are bright. Wumpuses are numpuses. Each dumpus is not bright.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Bright($x, True)\nrule2: Wumpus($x, True) → Numpus($x, True)\nrule3: Dumpus($x, True) → Bright($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nBright('Rex', True)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Rex', True)\nAccording to the implied fact: Numpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-474_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a dumpus. Every dumpus is kind. Dumpuses are zumpuses. Every zumpus is not fruity. Zumpuses are tumpuses. Yumpuses are fruity. Every tumpus is nervous. Tumpuses are vumpuses. Each vumpus is luminous. Vumpuses are jompuses. Jompuses are temperate. Jompuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nDumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Kind($x, True)\nrule2: Dumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Fruity($x, False)\nrule4: Zumpus($x, True) → Tumpus($x, True)\nrule5: Yumpus($x, True) → Fruity($x, True)\nrule6: Tumpus($x, True) → Nervous($x, True)\nrule7: Tumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Luminous($x, True)\nrule9: Vumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Temperate($x, True)\nrule11: Jompus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Kind($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Fruity($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Luminous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nTumpus('Alex', True)\nVumpus('Alex', True)\nJompus('Alex', True)\nKind('Alex', True)\nFruity('Alex', False)\nNervous('Alex', True)\nLuminous('Alex', True)\nTemperate('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Alex', False)\nAccording to the known fact: Dumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-100_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Every yumpus is dull. Vumpuses are not dull. Vumpuses are wumpuses. Every wumpus is transparent. Every wumpus is a zumpus. Zumpuses are red. Every zumpus is a rompus. Rompuses are not temperate. Each rompus is a numpus. Each numpus is amenable. Each numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Dull($x, True)\nrule2: Vumpus($x, True) → Dull($x, False)\nrule3: Vumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Transparent($x, True)\nrule5: Wumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Red($x, True)\nrule7: Zumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Temperate($x, False)\nrule9: Rompus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Amenable($x, True)\nrule11: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Temperate($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Amenable($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nZumpus('Sam', True)\nRompus('Sam', True)\nNumpus('Sam', True)\nDull('Sam', False)\nTransparent('Sam', True)\nRed('Sam', True)\nTemperate('Sam', False)\nAmenable('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Sam', False)\nAccording to the implied fact: Red('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-19_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Wumpuses are not small. Wumpuses are numpuses. Each numpus is kind. Every numpus is an impus. Impuses are orange. Every rompus is not orange. Each impus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, False)\nrule2: Wumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Kind($x, True)\nrule4: Numpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Orange($x, True)\nrule6: Rompus($x, True) → Orange($x, False)\nrule7: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Orange($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Impus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nImpus('Max', True)\nSmall('Max', False)\nKind('Max', True)\nOrange('Max', True)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Max', False)\nAccording to the known fact: Wumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-38_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Yumpuses are not fruity. Impuses are not dull. Every yumpus is a wumpus. Every wumpus is large. Each wumpus is a tumpus. Tumpuses are dull. Every tumpus is a zumpus. Each zumpus is temperate. Zumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Fruity($x, False)\nrule2: Impus($x, True) → Dull($x, False)\nrule3: Yumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Large($x, True)\nrule5: Wumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Dull($x, True)\nrule7: Tumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Temperate($x, True)\nrule9: Zumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Fruity($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nTumpus('Wren', True)\nZumpus('Wren', True)\nFruity('Wren', False)\nLarge('Wren', True)\nDull('Wren', True)\nTemperate('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Wren', False)\nAccording to the implied fact: Temperate('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-56_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Tumpuses are happy. Each yumpus is dull. Yumpuses are zumpuses. Each zumpus is not happy. Zumpuses are impuses. Every impus is earthy. Each impus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Happy($x, True)\nrule2: Yumpus($x, True) → Dull($x, True)\nrule3: Yumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Happy($x, False)\nrule5: Zumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Earthy($x, True)\nrule7: Impus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Happy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nImpus('Fae', True)\nDull('Fae', True)\nHappy('Fae', False)\nEarthy('Fae', True)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Fae', True)\nAccording to the implied fact: Dull('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-494_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Each wumpus is temperate. Wumpuses are vumpuses. Every vumpus is bright. Every vumpus is a dumpus. Dumpuses are not angry. Each dumpus is a rompus. Every rompus is not bitter. Zumpuses are bitter. Rompuses are impuses. Every impus is not opaque. Each impus is a yumpus. Yumpuses are feisty. Yumpuses are numpuses. Each numpus is fruity. Numpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Temperate($x, True)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Bright($x, True)\nrule4: Vumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Angry($x, False)\nrule6: Dumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Bitter($x, False)\nrule8: Zumpus($x, True) → Bitter($x, True)\nrule9: Rompus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Opaque($x, False)\nrule11: Impus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Feisty($x, True)\nrule13: Yumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Fruity($x, True)\nrule15: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Angry($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Angry('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Bitter($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Rompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nVumpus('Rex', True)\nDumpus('Rex', True)\nRompus('Rex', True)\nImpus('Rex', True)\nYumpus('Rex', True)\nNumpus('Rex', True)\nTemperate('Rex', True)\nBright('Rex', True)\nAngry('Rex', False)\nBitter('Rex', False)\nOpaque('Rex', False)\nFeisty('Rex', True)\nFruity('Rex', True)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Rex', True)\nAccording to the implied fact: Vumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-164_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Every impus is shy. Each impus is a wumpus. Every wumpus is not fruity. Each wumpus is a numpus. Each numpus is aggressive. Each numpus is a tumpus. Tumpuses are blue. Each tumpus is a dumpus. Dumpuses are not sweet. Every dumpus is a rompus. Each rompus is not bright. Jompuses are fruity. Rompuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Shy($x, True)\nrule2: Impus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Fruity($x, False)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Aggressive($x, True)\nrule6: Numpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Blue($x, True)\nrule8: Tumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Sweet($x, False)\nrule10: Dumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Bright($x, False)\nrule12: Jompus($x, True) → Fruity($x, True)\nrule13: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Fruity($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Aggressive($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Sweet($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Sweet('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Sally', True)\nTumpus('Sally', True)\nDumpus('Sally', True)\nRompus('Sally', True)\nFruity('Sally', False)\nAggressive('Sally', True)\nBlue('Sally', True)\nSweet('Sally', False)\nBright('Sally', False)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sally', True)\nAccording to the implied fact: Dumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-478_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a wumpus. Each zumpus is shy. Every zumpus is a vumpus. Vumpuses are opaque. Vumpuses are dumpuses. Each dumpus is not dull. Every dumpus is a yumpus. Yumpuses are not floral. Each yumpus is a numpus. Every numpus is kind. Each tumpus is not cold. Every numpus is a jompus. Every jompus is not red. Every jompus is a wumpus. Every wumpus is cold. Each wumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Shy($x, True)\nrule2: Zumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Opaque($x, True)\nrule4: Vumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Dull($x, False)\nrule6: Dumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Floral($x, False)\nrule8: Yumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Kind($x, True)\nrule10: Tumpus($x, True) → Cold($x, False)\nrule11: Numpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Red($x, False)\nrule13: Jompus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Cold($x, True)\nrule15: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nCold('Sam', True)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', False)\nAccording to the known fact: Wumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-476_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Every jompus is not small. Wumpuses are not cold. Wumpuses are impuses. Each impus is dull. Impuses are zumpuses. Every zumpus is small. Zumpuses are tumpuses. Every tumpus is mean. Tumpuses are vumpuses. Vumpuses are transparent. Vumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Small($x, False)\nrule2: Wumpus($x, True) → Cold($x, False)\nrule3: Wumpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Dull($x, True)\nrule5: Impus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Small($x, True)\nrule7: Zumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Mean($x, True)\nrule9: Tumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Transparent($x, True)\nrule11: Vumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Impus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Mean($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nTumpus('Wren', True)\nVumpus('Wren', True)\nDull('Wren', True)\nSmall('Wren', True)\nMean('Wren', True)\nTransparent('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Wren', False)\nAccording to the implied fact: Vumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-179_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Dumpuses are temperate. Dumpuses are tumpuses. Tumpuses are dull. Tumpuses are jompuses. Vumpuses are not orange. Jompuses are sour. Jompuses are zumpuses. Every zumpus is kind. Zumpuses are numpuses. Numpuses are orange. Numpuses are yumpuses. Each yumpus is not nervous. Yumpuses are wumpuses. Wumpuses are not small. Each wumpus is a rompus. Each rompus is not transparent. Every rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Temperate($x, True)\nrule2: Dumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Dull($x, True)\nrule4: Tumpus($x, True) → Jompus($x, True)\nrule5: Vumpus($x, True) → Orange($x, False)\nrule6: Jompus($x, True) → Sour($x, True)\nrule7: Jompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Kind($x, True)\nrule9: Zumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Orange($x, True)\nrule11: Numpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Nervous($x, False)\nrule13: Yumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Small($x, False)\nrule15: Wumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Transparent($x, False)\nrule17: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Jompus($x, True) → Sour($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Sour('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Kind($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Nervous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Nervous('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Polly', True)\nZumpus('Polly', True)\nNumpus('Polly', True)\nYumpus('Polly', True)\nWumpus('Polly', True)\nRompus('Polly', True)\nDull('Polly', True)\nSour('Polly', True)\nKind('Polly', True)\nOrange('Polly', True)\nNervous('Polly', False)\nSmall('Polly', False)\nTransparent('Polly', False)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is kind.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nKind('Polly', True)\nAccording to the implied fact: Kind('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-202_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Tumpuses are hot. Each tumpus is a yumpus. Every yumpus is orange. Yumpuses are impuses. Impuses are not bright. Impuses are vumpuses. Vumpuses are not wooden. Vumpuses are jompuses. Rompuses are bright.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Hot($x, True)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Orange($x, True)\nrule4: Yumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Bright($x, False)\nrule6: Impus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Wooden($x, False)\nrule8: Vumpus($x, True) → Jompus($x, True)\nrule9: Rompus($x, True) → Bright($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Wooden($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nImpus('Max', True)\nVumpus('Max', True)\nHot('Max', True)\nOrange('Max', True)\nBright('Max', False)\nWooden('Max', False)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Max', True)\nAccording to the implied fact: Bright('Max', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-485_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Numpuses are transparent. Every numpus is a wumpus. Every vumpus is not transparent.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Transparent($x, True)\nrule2: Numpus($x, True) → Wumpus($x, True)\nrule3: Vumpus($x, True) → Transparent($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nTransparent('Max', True)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Max', True)\nAccording to the known fact: Numpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-368_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Impuses are not opaque. Impuses are yumpuses. Every yumpus is metallic. Every yumpus is a tumpus. Tumpuses are shy. Tumpuses are dumpuses. Each dumpus is angry. Dumpuses are numpuses. Numpuses are not floral. Each numpus is a wumpus. Every wumpus is temperate. Each wumpus is a jompus. Jompuses are not dull. Each zumpus is not small. Every jompus is a vumpus. Each vumpus is small. Each vumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nOpaque($x, bool) ::: Is x opaque?\nMetallic($x, bool) ::: Is x metallic?\nAngry($x, bool) ::: Is x angry?\nFloral($x, bool) ::: Is x floral?\nTemperate($x, bool) ::: Is x temperate?\nSmall($x, bool) ::: Is x small?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Opaque($x, False)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Metallic($x, True)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Shy($x, True)\nrule6: Tumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Angry($x, True)\nrule8: Dumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Floral($x, False)\nrule10: Numpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Temperate($x, True)\nrule12: Wumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Dull($x, False)\nrule14: Zumpus($x, True) → Small($x, False)\nrule15: Jompus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Small($x, True)\nrule17: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Numpus($x, True) → Floral($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nJompus('Alex', True)\nVumpus('Alex', True)\nFloral('Alex', False)\nTemperate('Alex', True)\nDull('Alex', False)\nSmall('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not a vumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Alex', False)\nAccording to the implied fact: Vumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-135_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Every impus is not orange. Each impus is a vumpus. Each vumpus is feisty. Each vumpus is a numpus. Numpuses are not small. Every numpus is a jompus. Each jompus is not temperate. Jompuses are tumpuses. Tumpuses are wooden. Each tumpus is a zumpus. Each zumpus is kind. Zumpuses are dumpuses. Dumpuses are not earthy. Each yumpus is bright. Each dumpus is a rompus. Rompuses are not bright. Every rompus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Orange($x, False)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Feisty($x, True)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Small($x, False)\nrule6: Numpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Temperate($x, False)\nrule8: Jompus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Wooden($x, True)\nrule10: Tumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Kind($x, True)\nrule12: Zumpus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Earthy($x, False)\nrule14: Yumpus($x, True) → Bright($x, True)\nrule15: Dumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Bright($x, False)\nrule17: Rompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Tumpus($x, True) → Wooden($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Kind($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Earthy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Bright($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nDumpus('Fae', True)\nRompus('Fae', True)\nWooden('Fae', True)\nKind('Fae', True)\nEarthy('Fae', False)\nBright('Fae', False)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Fae', True)\nAccording to the implied fact: Rompus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-238_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Jompuses are small. Numpuses are not dull. Every jompus is an impus. Each impus is dull. Impuses are tumpuses. Each tumpus is not amenable. Tumpuses are vumpuses. Every vumpus is happy. Every vumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Small($x, True)\nrule2: Numpus($x, True) → Dull($x, False)\nrule3: Jompus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Dull($x, True)\nrule5: Impus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Amenable($x, False)\nrule7: Tumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Happy($x, True)\nrule9: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Amenable($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nTumpus('Sam', True)\nVumpus('Sam', True)\nSmall('Sam', True)\nDull('Sam', True)\nAmenable('Sam', False)\nHappy('Sam', True)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Sam', False)\nAccording to the implied fact: Small('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-444_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Impuses are floral. Every impus is a wumpus. Every wumpus is bright. Wumpuses are yumpuses. Every yumpus is liquid. Yumpuses are rompuses. Each rompus is brown. Rompuses are zumpuses. Each zumpus is feisty. Each zumpus is a tumpus. Every tumpus is mean. Every vumpus is not temperate. Tumpuses are jompuses. Jompuses are spicy. Each jompus is a numpus. Numpuses are temperate. Every numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Floral($x, True)\nrule2: Impus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Bright($x, True)\nrule4: Wumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Liquid($x, True)\nrule6: Yumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Brown($x, True)\nrule8: Rompus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Feisty($x, True)\nrule10: Zumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Mean($x, True)\nrule12: Vumpus($x, True) → Temperate($x, False)\nrule13: Tumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Spicy($x, True)\nrule15: Jompus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Temperate($x, True)\nrule17: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule16: Numpus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTemperate('Stella', True)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Stella', False)\nAccording to the implied fact: Temperate('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-387_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Dumpuses are spicy. Dumpuses are rompuses. Rompuses are small. Rompuses are yumpuses. Every yumpus is temperate. Yumpuses are jompuses. Each jompus is not opaque. Every jompus is a zumpus. Every zumpus is not happy. Each zumpus is a tumpus. Each tumpus is orange. Each tumpus is a vumpus. Every vumpus is not kind. Impuses are not fruity. Vumpuses are numpuses. Each numpus is fruity. Numpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Spicy($x, True)\nrule2: Dumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Small($x, True)\nrule4: Rompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Temperate($x, True)\nrule6: Yumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Opaque($x, False)\nrule8: Jompus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Happy($x, False)\nrule10: Zumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Orange($x, True)\nrule12: Tumpus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Kind($x, False)\nrule14: Impus($x, True) → Fruity($x, False)\nrule15: Vumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Fruity($x, True)\nrule17: Numpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Tumpus($x, True) → Orange($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Kind($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Rex', True)\nNumpus('Rex', True)\nOrange('Rex', True)\nKind('Rex', False)\nFruity('Rex', True)\nWumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Rex', False)\nAccording to the known fact: Tumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-226_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Each rompus is blue. Each rompus is a dumpus. Dumpuses are nervous. Every dumpus is an impus. Impuses are not small. Impuses are numpuses. Numpuses are amenable. Wumpuses are small. Each numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Blue($x, True)\nrule2: Rompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Nervous($x, True)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Small($x, False)\nrule6: Impus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Amenable($x, True)\nrule8: Wumpus($x, True) → Small($x, True)\nrule9: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Small($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Amenable($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nImpus('Alex', True)\nNumpus('Alex', True)\nBlue('Alex', True)\nNervous('Alex', True)\nSmall('Alex', False)\nAmenable('Alex', True)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Alex', True)\nAccording to the implied fact: Jompus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-27_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Wumpuses are temperate. Every wumpus is a numpus. Jompuses are not sour. Every numpus is shy. Every numpus is a yumpus. Each yumpus is sour. Yumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Temperate($x, True)\nrule2: Wumpus($x, True) → Numpus($x, True)\nrule3: Jompus($x, True) → Sour($x, False)\nrule4: Numpus($x, True) → Shy($x, True)\nrule5: Numpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Sour($x, True)\nrule7: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Sour($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sour('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nShy('Stella', True)\nSour('Stella', True)\nVumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not shy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nShy('Stella', False)\nAccording to the implied fact: Shy('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-488_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a rompus. Each yumpus is floral. Each yumpus is a rompus. Each rompus is not red. Rompuses are vumpuses. Vumpuses are temperate. Each dumpus is red. Every vumpus is a zumpus. Each zumpus is shy. Zumpuses are impuses. Every impus is small. Every impus is a jompus. Every jompus is not aggressive. Each jompus is a wumpus. Wumpuses are dull. Wumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Floral($x, True)\nrule2: Yumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Red($x, False)\nrule4: Rompus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Temperate($x, True)\nrule6: Dumpus($x, True) → Red($x, True)\nrule7: Vumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Shy($x, True)\nrule9: Zumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Small($x, True)\nrule11: Impus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Aggressive($x, False)\nrule13: Jompus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Dull($x, True)\nrule15: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Red($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Temperate($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Aggressive($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Aggressive('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nZumpus('Polly', True)\nImpus('Polly', True)\nJompus('Polly', True)\nWumpus('Polly', True)\nRed('Polly', False)\nTemperate('Polly', True)\nShy('Polly', True)\nSmall('Polly', True)\nAggressive('Polly', False)\nDull('Polly', True)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not shy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nShy('Polly', False)\nAccording to the implied fact: Shy('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-64_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Each yumpus is floral. Yumpuses are wumpuses. Wumpuses are not cold. Wumpuses are dumpuses. Dumpuses are angry. Dumpuses are jompuses. Every jompus is not sweet. Each jompus is a vumpus. Vumpuses are shy. Each vumpus is a zumpus. Zumpuses are opaque. Zumpuses are impuses. Impuses are small. Each impus is a tumpus. Each tumpus is not bright. Tumpuses are rompuses. Numpuses are bright.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Floral($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Cold($x, False)\nrule4: Wumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Angry($x, True)\nrule6: Dumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Sweet($x, False)\nrule8: Jompus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Shy($x, True)\nrule10: Vumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Opaque($x, True)\nrule12: Zumpus($x, True) → Impus($x, True)\nrule13: Impus($x, True) → Small($x, True)\nrule14: Impus($x, True) → Tumpus($x, True)\nrule15: Tumpus($x, True) → Bright($x, False)\nrule16: Tumpus($x, True) → Rompus($x, True)\nrule17: Numpus($x, True) → Bright($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nImpus('Stella', True)\nTumpus('Stella', True)\nShy('Stella', True)\nOpaque('Stella', True)\nSmall('Stella', True)\nBright('Stella', False)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Stella', False)\nAccording to the implied fact: Rompus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-96_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Tumpuses are earthy. Each tumpus is a rompus. Every rompus is large. Every rompus is a yumpus. Every yumpus is transparent. Every yumpus is an impus. Impuses are blue. Each impus is a jompus. Dumpuses are not large. Each jompus is happy. Jompuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Earthy($x, True)\nrule2: Tumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Large($x, True)\nrule4: Rompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Transparent($x, True)\nrule6: Yumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Blue($x, True)\nrule8: Impus($x, True) → Jompus($x, True)\nrule9: Dumpus($x, True) → Large($x, False)\nrule10: Jompus($x, True) → Happy($x, True)\nrule11: Jompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Jompus($x, True) → Happy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nImpus('Fae', True)\nJompus('Fae', True)\nLarge('Fae', True)\nTransparent('Fae', True)\nBlue('Fae', True)\nHappy('Fae', True)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Fae', True)\nAccording to the implied fact: Large('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-191_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Every wumpus is bright. Wumpuses are dumpuses. Dumpuses are opaque. Each dumpus is a vumpus. Each vumpus is bitter. Vumpuses are rompuses. Every rompus is not fruity. Every rompus is an impus. Impuses are brown. Every impus is a zumpus. Each yumpus is fruity. Each zumpus is luminous. Zumpuses are numpuses. Numpuses are not hot. Numpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Bright($x, True)\nrule2: Wumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Opaque($x, True)\nrule4: Dumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Bitter($x, True)\nrule6: Vumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Fruity($x, False)\nrule8: Rompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Brown($x, True)\nrule10: Impus($x, True) → Zumpus($x, True)\nrule11: Yumpus($x, True) → Fruity($x, True)\nrule12: Zumpus($x, True) → Luminous($x, True)\nrule13: Zumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Hot($x, False)\nrule15: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Fruity($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Brown($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Zumpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Hot($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nRompus('Polly', True)\nImpus('Polly', True)\nZumpus('Polly', True)\nNumpus('Polly', True)\nBitter('Polly', True)\nFruity('Polly', False)\nBrown('Polly', True)\nLuminous('Polly', True)\nHot('Polly', False)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Polly', True)\nAccording to the known fact: Vumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-290_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a rompus. Every dumpus is orange. Dumpuses are wumpuses. Each wumpus is not spicy. Wumpuses are zumpuses. Each zumpus is temperate. Each zumpus is a yumpus. Yumpuses are fruity. Yumpuses are rompuses. Every rompus is bright. Every rompus is a tumpus. Tumpuses are opaque. Tumpuses are jompuses. Jompuses are not happy. Jompuses are vumpuses. Vumpuses are not metallic. Every vumpus is an impus. Each numpus is not opaque.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Orange($x, True)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Spicy($x, False)\nrule4: Wumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Temperate($x, True)\nrule6: Zumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Fruity($x, True)\nrule8: Yumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Bright($x, True)\nrule10: Rompus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Opaque($x, True)\nrule12: Tumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Happy($x, False)\nrule14: Jompus($x, True) → Vumpus($x, True)\nrule15: Vumpus($x, True) → Metallic($x, False)\nrule16: Vumpus($x, True) → Impus($x, True)\nrule17: Numpus($x, True) → Opaque($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Rompus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Happy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Metallic($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nJompus('Stella', True)\nVumpus('Stella', True)\nBright('Stella', True)\nOpaque('Stella', True)\nHappy('Stella', False)\nMetallic('Stella', False)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Stella', True)\nAccording to the implied fact: Tumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-360_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Each impus is wooden. Impuses are vumpuses. Vumpuses are shy. Jompuses are floral. Every vumpus is a numpus. Each numpus is not dull. Numpuses are yumpuses. Every yumpus is not floral. Every yumpus is a rompus. Every rompus is transparent. Every rompus is a tumpus. Each tumpus is spicy. Tumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Wooden($x, True)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Shy($x, True)\nrule4: Jompus($x, True) → Floral($x, True)\nrule5: Vumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Dull($x, False)\nrule7: Numpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Floral($x, False)\nrule9: Yumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Transparent($x, True)\nrule11: Rompus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Spicy($x, True)\nrule13: Tumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Shy('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Dull($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Floral($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Sam', True)\nNumpus('Sam', True)\nYumpus('Sam', True)\nRompus('Sam', True)\nTumpus('Sam', True)\nWooden('Sam', True)\nShy('Sam', True)\nDull('Sam', False)\nFloral('Sam', False)\nTransparent('Sam', True)\nSpicy('Sam', True)\nZumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Sam', False)\nAccording to the implied fact: Spicy('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-414_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Every tumpus is large. Tumpuses are impuses. Wumpuses are not floral. Every impus is floral. Impuses are rompuses. Each rompus is feisty. Rompuses are jompuses. Jompuses are temperate. Jompuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Large($x, True)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Wumpus($x, True) → Floral($x, False)\nrule4: Impus($x, True) → Floral($x, True)\nrule5: Impus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Feisty($x, True)\nrule7: Rompus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Temperate($x, True)\nrule9: Jompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Impus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nRompus('Rex', True)\nJompus('Rex', True)\nLarge('Rex', True)\nFloral('Rex', True)\nFeisty('Rex', True)\nTemperate('Rex', True)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Rex', True)\nAccording to the implied fact: Jompus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-42_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Each zumpus is blue. Every zumpus is a yumpus. Every vumpus is not blue.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Blue($x, True)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Vumpus($x, True) → Blue($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nBlue('Fae', True)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Fae', True)\nAccording to the implied fact: Blue('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-4_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Each rompus is bright. Rompuses are jompuses. Each jompus is not transparent. Jompuses are wumpuses. Each dumpus is not small. Every wumpus is kind. Each wumpus is a numpus. Numpuses are small. Numpuses are vumpuses. Vumpuses are not metallic. Each vumpus is an impus. Every impus is feisty. Every impus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nKind($x, bool) ::: Is x kind?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Transparent($x, False)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Dumpus($x, True) → Small($x, False)\nrule6: Wumpus($x, True) → Kind($x, True)\nrule7: Wumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Small($x, True)\nrule9: Numpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Metallic($x, False)\nrule11: Vumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Feisty($x, True)\nrule13: Impus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Numpus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Metallic($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Feisty($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nImpus('Polly', True)\nSmall('Polly', True)\nMetallic('Polly', False)\nFeisty('Polly', True)\nYumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Polly', False)\nAccording to the implied fact: Feisty('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-39_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Yumpuses are not dull. Yumpuses are dumpuses. Every zumpus is dull.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Dull($x, False)\nrule2: Yumpus($x, True) → Dumpus($x, True)\nrule3: Zumpus($x, True) → Dull($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Dull($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nDull('Polly', False)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Polly', True)\nAccording to the known fact: Yumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-428_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Each tumpus is not temperate. Every tumpus is an impus. Impuses are feisty. Impuses are numpuses. Each numpus is sour. Wumpuses are not earthy. Each numpus is a rompus. Rompuses are dull. Rompuses are zumpuses. Zumpuses are earthy. Zumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Temperate($x, False)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Feisty($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Sour($x, True)\nrule6: Wumpus($x, True) → Earthy($x, False)\nrule7: Numpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Dull($x, True)\nrule9: Rompus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Earthy($x, True)\nrule11: Zumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Temperate($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Feisty($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Sour($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Sour('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Polly', True)\nNumpus('Polly', True)\nRompus('Polly', True)\nZumpus('Polly', True)\nTemperate('Polly', False)\nFeisty('Polly', True)\nSour('Polly', True)\nDull('Polly', True)\nEarthy('Polly', True)\nVumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Polly', False)\nAccording to the implied fact: Feisty('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-121_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Every vumpus is bright. Each zumpus is bitter. Each zumpus is a rompus. Rompuses are not angry. Each rompus is a numpus. Numpuses are not transparent. Each numpus is a jompus. Jompuses are not bright. Jompuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Bright($x, True)\nrule2: Zumpus($x, True) → Bitter($x, True)\nrule3: Zumpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Angry($x, False)\nrule5: Rompus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Transparent($x, False)\nrule7: Numpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Bright($x, False)\nrule9: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Zumpus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Angry($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Bright($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nNumpus('Fae', True)\nJompus('Fae', True)\nBitter('Fae', True)\nAngry('Fae', False)\nTransparent('Fae', False)\nBright('Fae', False)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Fae', False)\nAccording to the implied fact: Rompus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-133_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Wumpuses are not hot. Wumpuses are impuses. Every impus is fruity. Impuses are tumpuses. Tumpuses are amenable. Tumpuses are rompuses. Rompuses are sour. Rompuses are numpuses. Numpuses are feisty. Every numpus is a vumpus. Vumpuses are blue. Every vumpus is a jompus. Zumpuses are not sour.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Hot($x, False)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Fruity($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Amenable($x, True)\nrule6: Tumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Sour($x, True)\nrule8: Rompus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Feisty($x, True)\nrule10: Numpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Blue($x, True)\nrule12: Vumpus($x, True) → Jompus($x, True)\nrule13: Zumpus($x, True) → Sour($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Fruity($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Amenable($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Amenable('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nImpus('Fae', True)\nTumpus('Fae', True)\nRompus('Fae', True)\nNumpus('Fae', True)\nVumpus('Fae', True)\nHot('Fae', False)\nFruity('Fae', True)\nAmenable('Fae', True)\nSour('Fae', True)\nFeisty('Fae', True)\nBlue('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Fae', False)\nAccording to the implied fact: Rompus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-186_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Dumpuses are transparent. Each dumpus is a zumpus. Every zumpus is not small. Zumpuses are yumpuses. Every tumpus is small. Each yumpus is feisty. Yumpuses are wumpuses. Wumpuses are red. Wumpuses are numpuses. Numpuses are not metallic. Each numpus is a rompus. Each rompus is cold. Each rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Transparent($x, True)\nrule2: Dumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Small($x, False)\nrule4: Zumpus($x, True) → Yumpus($x, True)\nrule5: Tumpus($x, True) → Small($x, True)\nrule6: Yumpus($x, True) → Feisty($x, True)\nrule7: Yumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Red($x, True)\nrule9: Wumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Metallic($x, False)\nrule11: Numpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Cold($x, True)\nrule13: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Small($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Yumpus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Metallic($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nYumpus('Sam', True)\nWumpus('Sam', True)\nNumpus('Sam', True)\nRompus('Sam', True)\nTransparent('Sam', True)\nSmall('Sam', False)\nFeisty('Sam', True)\nRed('Sam', True)\nMetallic('Sam', False)\nCold('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', True)\nAccording to the implied fact: Wumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-447_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Every impus is small. Each impus is a tumpus. Zumpuses are not small.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Small($x, True)\nrule2: Impus($x, True) → Tumpus($x, True)\nrule3: Zumpus($x, True) → Small($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nSmall('Sally', True)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', False)\nAccording to the known fact: Impus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-293_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Wumpuses are shy. Numpuses are bright. Each wumpus is a vumpus. Vumpuses are not sour. Vumpuses are yumpuses. Every yumpus is cold. Each yumpus is a tumpus. Tumpuses are not bright. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Shy($x, True)\nrule2: Numpus($x, True) → Bright($x, True)\nrule3: Wumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Sour($x, False)\nrule5: Vumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Cold($x, True)\nrule7: Yumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Bright($x, False)\nrule9: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Sour($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Sour('Stella', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nTumpus('Stella', True)\nSour('Stella', False)\nCold('Stella', True)\nBright('Stella', False)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Stella', True)\nAccording to the implied fact: Bright('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-166_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Zumpuses are not amenable. Each zumpus is an impus. Impuses are cold. Every impus is a tumpus. Tumpuses are not floral. Every jompus is wooden. Tumpuses are numpuses. Each numpus is shy. Numpuses are vumpuses. Each vumpus is spicy. Each vumpus is a rompus. Rompuses are not wooden. Each rompus is a wumpus. Each wumpus is brown. Each wumpus is a yumpus. Yumpuses are bright. Yumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Amenable($x, False)\nrule2: Zumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Cold($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Floral($x, False)\nrule6: Jompus($x, True) → Wooden($x, True)\nrule7: Tumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Shy($x, True)\nrule9: Numpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Spicy($x, True)\nrule11: Vumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Wooden($x, False)\nrule13: Rompus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Brown($x, True)\nrule15: Wumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Bright($x, True)\nrule17: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Spicy('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Wooden($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Stella', True)\nWumpus('Stella', True)\nYumpus('Stella', True)\nSpicy('Stella', True)\nWooden('Stella', False)\nBrown('Stella', True)\nBright('Stella', True)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Stella', False)\nAccording to the implied fact: Yumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-275_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Each numpus is not earthy. Every numpus is a jompus. Jompuses are sour. Jompuses are rompuses. Every rompus is brown. Rompuses are wumpuses. Wumpuses are bright. Each wumpus is an impus. Every impus is not kind. Each impus is a tumpus. Each tumpus is nervous. Tumpuses are zumpuses. Every zumpus is large. Each zumpus is a vumpus. Vumpuses are transparent. Dumpuses are not brown. Every vumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Earthy($x, False)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Sour($x, True)\nrule4: Jompus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Brown($x, True)\nrule6: Rompus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Bright($x, True)\nrule8: Wumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Kind($x, False)\nrule10: Impus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Nervous($x, True)\nrule12: Tumpus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Large($x, True)\nrule14: Zumpus($x, True) → Vumpus($x, True)\nrule15: Vumpus($x, True) → Transparent($x, True)\nrule16: Dumpus($x, True) → Brown($x, False)\nrule17: Vumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Earthy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Brown($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Kind($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nRompus('Fae', True)\nWumpus('Fae', True)\nImpus('Fae', True)\nTumpus('Fae', True)\nZumpus('Fae', True)\nVumpus('Fae', True)\nEarthy('Fae', False)\nSour('Fae', True)\nBrown('Fae', True)\nBright('Fae', True)\nKind('Fae', False)\nNervous('Fae', True)\nLarge('Fae', True)\nTransparent('Fae', True)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Fae', False)\nAccording to the implied fact: Transparent('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-232_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Wumpuses are blue. Each wumpus is an impus. Zumpuses are dull. Impuses are transparent. Impuses are tumpuses. Tumpuses are not happy. Every tumpus is a dumpus. Every dumpus is not dull. Every dumpus is a rompus. Rompuses are hot. Every rompus is a yumpus. Each yumpus is fruity. Yumpuses are vumpuses. Every vumpus is wooden. Vumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Blue($x, True)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Zumpus($x, True) → Dull($x, True)\nrule4: Impus($x, True) → Transparent($x, True)\nrule5: Impus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Happy($x, False)\nrule7: Tumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Dull($x, False)\nrule9: Dumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Hot($x, True)\nrule11: Rompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Fruity($x, True)\nrule13: Yumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Wooden($x, True)\nrule15: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Blue($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Impus($x, True) → Transparent($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Happy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Dull($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Fruity($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Wooden($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nImpus('Stella', True)\nTumpus('Stella', True)\nDumpus('Stella', True)\nRompus('Stella', True)\nYumpus('Stella', True)\nVumpus('Stella', True)\nBlue('Stella', True)\nTransparent('Stella', True)\nHappy('Stella', False)\nDull('Stella', False)\nHot('Stella', True)\nFruity('Stella', True)\nWooden('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not happy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHappy('Stella', False)\nAccording to the implied fact: Happy('Stella', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-6_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Every rompus is mean. Yumpuses are not orange. Rompuses are numpuses. Numpuses are orange. Numpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Mean($x, True)\nrule2: Yumpus($x, True) → Orange($x, False)\nrule3: Rompus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Orange($x, True)\nrule5: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nOrange('Polly', True)\nJompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Polly', True)\nAccording to the known fact: Numpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-240_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Tumpuses are aggressive. Tumpuses are vumpuses. Vumpuses are not transparent. Vumpuses are rompuses. Each rompus is wooden. Rompuses are yumpuses. Wumpuses are not happy. Yumpuses are happy. Every yumpus is a jompus. Jompuses are dull. Jompuses are impuses. Impuses are blue. Impuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Aggressive($x, True)\nrule2: Tumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Transparent($x, False)\nrule4: Vumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Wooden($x, True)\nrule6: Rompus($x, True) → Yumpus($x, True)\nrule7: Wumpus($x, True) → Happy($x, False)\nrule8: Yumpus($x, True) → Happy($x, True)\nrule9: Yumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Dull($x, True)\nrule11: Jompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Blue($x, True)\nrule13: Impus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Yumpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nJompus('Wren', True)\nImpus('Wren', True)\nWooden('Wren', True)\nHappy('Wren', True)\nDull('Wren', True)\nBlue('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Wren', False)\nAccording to the implied fact: Zumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-139_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Zumpuses are amenable. Zumpuses are tumpuses. Every tumpus is not luminous. Each dumpus is bitter. Tumpuses are vumpuses. Vumpuses are not cold. Vumpuses are jompuses. Each jompus is not bitter. Every jompus is a wumpus. Each wumpus is nervous. Each wumpus is a yumpus. Yumpuses are bright. Every yumpus is a rompus. Rompuses are blue. Rompuses are numpuses. Numpuses are large. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Amenable($x, True)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Luminous($x, False)\nrule4: Dumpus($x, True) → Bitter($x, True)\nrule5: Tumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Cold($x, False)\nrule7: Vumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Bitter($x, False)\nrule9: Jompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Nervous($x, True)\nrule11: Wumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Bright($x, True)\nrule13: Yumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Blue($x, True)\nrule15: Rompus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Large($x, True)\nrule17: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Vumpus($x, True) → Cold($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nWumpus('Wren', True)\nYumpus('Wren', True)\nRompus('Wren', True)\nNumpus('Wren', True)\nCold('Wren', False)\nBitter('Wren', False)\nNervous('Wren', True)\nBright('Wren', True)\nBlue('Wren', True)\nLarge('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Wren', True)\nAccording to the implied fact: Numpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-202_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Every dumpus is red. Every dumpus is a wumpus. Every wumpus is spicy. Every wumpus is a jompus. Each jompus is dull. Zumpuses are not fruity. Each jompus is a vumpus. Vumpuses are fruity. Vumpuses are yumpuses. Every yumpus is not feisty. Each yumpus is a tumpus. Each tumpus is large. Each tumpus is an impus. Impuses are not luminous. Every impus is a rompus. Rompuses are transparent. Each rompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Red($x, True)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Spicy($x, True)\nrule4: Wumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Dull($x, True)\nrule6: Zumpus($x, True) → Fruity($x, False)\nrule7: Jompus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Fruity($x, True)\nrule9: Vumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Feisty($x, False)\nrule11: Yumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Large($x, True)\nrule13: Tumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Luminous($x, False)\nrule15: Impus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Transparent($x, True)\nrule17: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Feisty($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Luminous($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nVumpus('Max', True)\nYumpus('Max', True)\nTumpus('Max', True)\nImpus('Max', True)\nRompus('Max', True)\nSpicy('Max', True)\nDull('Max', True)\nFruity('Max', True)\nFeisty('Max', False)\nLarge('Max', True)\nLuminous('Max', False)\nTransparent('Max', True)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Max', False)\nAccording to the implied fact: Luminous('Max', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-9_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Every yumpus is angry. Yumpuses are zumpuses. Tumpuses are not angry. Zumpuses are not liquid. Each zumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Angry($x, True)\nrule2: Yumpus($x, True) → Zumpus($x, True)\nrule3: Tumpus($x, True) → Angry($x, False)\nrule4: Zumpus($x, True) → Liquid($x, False)\nrule5: Zumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Angry('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Zumpus($x, True) → Liquid($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nAngry('Rex', True)\nLiquid('Rex', False)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Rex', False)\nAccording to the implied fact: Liquid('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-142_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Rompuses are not opaque. Rompuses are vumpuses. Every vumpus is not dull. Each vumpus is a yumpus. Every yumpus is feisty. Yumpuses are zumpuses. Each impus is not luminous. Zumpuses are luminous. Zumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Opaque($x, False)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Dull($x, False)\nrule4: Vumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Feisty($x, True)\nrule6: Yumpus($x, True) → Zumpus($x, True)\nrule7: Impus($x, True) → Luminous($x, False)\nrule8: Zumpus($x, True) → Luminous($x, True)\nrule9: Zumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Zumpus($x, True) → Luminous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nLuminous('Rex', True)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', True)\nAccording to the known fact: Zumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-189_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Wumpuses are not sour. Every yumpus is dull. Yumpuses are zumpuses. Zumpuses are small. Zumpuses are numpuses. Numpuses are sour. Numpuses are vumpuses. Vumpuses are not shy. Every vumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Sour($x, False)\nrule2: Yumpus($x, True) → Dull($x, True)\nrule3: Yumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Small($x, True)\nrule5: Zumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Sour($x, True)\nrule7: Numpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Shy($x, False)\nrule9: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Zumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Sour($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Shy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Shy('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Sam', True)\nVumpus('Sam', True)\nSmall('Sam', True)\nSour('Sam', True)\nShy('Sam', False)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sam', True)\nAccording to the implied fact: Numpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-368_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Jompuses are not bright. Every tumpus is spicy. Tumpuses are zumpuses. Each zumpus is nervous. Zumpuses are vumpuses. Every vumpus is large. Each vumpus is a yumpus. Each yumpus is hot. Each yumpus is a rompus. Rompuses are mean. Each rompus is a dumpus. Dumpuses are bright. Dumpuses are wumpuses. Wumpuses are liquid. Every wumpus is a numpus. Each numpus is not blue. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bright($x, False)\nrule2: Tumpus($x, True) → Spicy($x, True)\nrule3: Tumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Nervous($x, True)\nrule5: Zumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Large($x, True)\nrule7: Vumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Hot($x, True)\nrule9: Yumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Mean($x, True)\nrule11: Rompus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Bright($x, True)\nrule13: Dumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Liquid($x, True)\nrule15: Wumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Blue($x, False)\nrule17: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Rompus($x, True) → Mean($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Mean('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Blue($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nWumpus('Alex', True)\nNumpus('Alex', True)\nMean('Alex', True)\nBright('Alex', True)\nLiquid('Alex', True)\nBlue('Alex', False)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Alex', False)\nAccording to the implied fact: Blue('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-269_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Vumpuses are not opaque. Each vumpus is a yumpus. Every yumpus is large. Each yumpus is an impus. Impuses are dull. Impuses are tumpuses. Every tumpus is not hot. Every tumpus is a rompus. Rompuses are kind. Jompuses are not feisty. Every rompus is a dumpus. Every dumpus is feisty. Every dumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, False)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Large($x, True)\nrule4: Yumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Dull($x, True)\nrule6: Impus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Hot($x, False)\nrule8: Tumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Kind($x, True)\nrule10: Jompus($x, True) → Feisty($x, False)\nrule11: Rompus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Feisty($x, True)\nrule13: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Large($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Hot($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Kind($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Stella', True)\nTumpus('Stella', True)\nRompus('Stella', True)\nDumpus('Stella', True)\nLarge('Stella', True)\nDull('Stella', True)\nHot('Stella', False)\nKind('Stella', True)\nFeisty('Stella', True)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Stella', True)\nAccording to the implied fact: Rompus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-431_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Impuses are not red. Impuses are dumpuses. Every dumpus is large. Every dumpus is a numpus. Yumpuses are not large.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Red($x, False)\nrule2: Impus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Large($x, True)\nrule4: Dumpus($x, True) → Numpus($x, True)\nrule5: Yumpus($x, True) → Large($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nLarge('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Wren', False)\nAccording to the known fact: Dumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-13_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Dumpuses are large. Dumpuses are vumpuses. Each vumpus is not bitter. Every wumpus is liquid. Every vumpus is a numpus. Every numpus is not cold. Numpuses are zumpuses. Each zumpus is red. Every zumpus is a jompus. Each jompus is not liquid. Jompuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, True)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Bitter($x, False)\nrule4: Wumpus($x, True) → Liquid($x, True)\nrule5: Vumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Cold($x, False)\nrule7: Numpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Red($x, True)\nrule9: Zumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Liquid($x, False)\nrule11: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Bitter($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Cold($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Red($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Liquid($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Rex', True)\nNumpus('Rex', True)\nZumpus('Rex', True)\nJompus('Rex', True)\nLarge('Rex', True)\nBitter('Rex', False)\nCold('Rex', False)\nRed('Rex', True)\nLiquid('Rex', False)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Rex', True)\nAccording to the implied fact: Large('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-218_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Every jompus is hot. Each yumpus is not hot. Jompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Hot($x, True)\nrule2: Yumpus($x, True) → Hot($x, False)\nrule3: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Hot($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nHot('Rex', True)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Rex', False)\nAccording to the implied fact: Numpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-303_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Numpuses are not large. Each wumpus is large. Every numpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Large($x, False)\nrule2: Wumpus($x, True) → Large($x, True)\nrule3: Numpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nLarge('Rex', False)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Rex', True)\nAccording to the known fact: Numpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-464_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Dumpuses are opaque. Each dumpus is a rompus. Each rompus is cold. Each wumpus is not cold. Rompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, True)\nrule2: Dumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Cold($x, True)\nrule4: Wumpus($x, True) → Cold($x, False)\nrule5: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Cold($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nRompus('Polly', True)\nOpaque('Polly', True)\nCold('Polly', True)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Polly', False)\nAccording to the implied fact: Numpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-212_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Zumpuses are not bright. Zumpuses are yumpuses. Yumpuses are bitter. Yumpuses are numpuses. Every numpus is nervous. Rompuses are not liquid. Each numpus is a wumpus. Each wumpus is liquid. Each wumpus is a vumpus. Vumpuses are large. Vumpuses are jompuses. Every jompus is floral. Each jompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Bright($x, False)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Bitter($x, True)\nrule4: Yumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Nervous($x, True)\nrule6: Rompus($x, True) → Liquid($x, False)\nrule7: Numpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Liquid($x, True)\nrule9: Wumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Large($x, True)\nrule11: Vumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Floral($x, True)\nrule13: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nWumpus('Rex', True)\nVumpus('Rex', True)\nJompus('Rex', True)\nBitter('Rex', True)\nNervous('Rex', True)\nLiquid('Rex', True)\nLarge('Rex', True)\nFloral('Rex', True)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Rex', False)\nAccording to the implied fact: Liquid('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-69_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Yumpuses are not hot. Yumpuses are jompuses. Numpuses are not metallic. Jompuses are floral. Each jompus is a rompus. Rompuses are not opaque. Rompuses are wumpuses. Every wumpus is brown. Wumpuses are zumpuses. Zumpuses are dull. Zumpuses are vumpuses. Every vumpus is mean. Vumpuses are dumpuses. Each dumpus is spicy. Dumpuses are impuses. Impuses are metallic. Impuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Hot($x, False)\nrule2: Yumpus($x, True) → Jompus($x, True)\nrule3: Numpus($x, True) → Metallic($x, False)\nrule4: Jompus($x, True) → Floral($x, True)\nrule5: Jompus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Opaque($x, False)\nrule7: Rompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Brown($x, True)\nrule9: Wumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Dull($x, True)\nrule11: Zumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Mean($x, True)\nrule13: Vumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Spicy($x, True)\nrule15: Dumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Metallic($x, True)\nrule17: Impus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Mean($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Mean('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Metallic($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Sam', True)\nDumpus('Sam', True)\nImpus('Sam', True)\nDull('Sam', True)\nMean('Sam', True)\nSpicy('Sam', True)\nMetallic('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Sam', True)\nAccording to the implied fact: Dull('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-406_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Numpuses are liquid. Each numpus is an impus. Each impus is not feisty. Impuses are zumpuses. Zumpuses are sweet. Zumpuses are tumpuses. Every tumpus is not small. Each tumpus is a yumpus. Yumpuses are blue. Yumpuses are vumpuses. Vumpuses are opaque. Each vumpus is a wumpus. Every dumpus is not opaque.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Liquid($x, True)\nrule2: Numpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Feisty($x, False)\nrule4: Impus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Sweet($x, True)\nrule6: Zumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Small($x, False)\nrule8: Tumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Blue($x, True)\nrule10: Yumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Opaque($x, True)\nrule12: Vumpus($x, True) → Wumpus($x, True)\nrule13: Dumpus($x, True) → Opaque($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Tumpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nVumpus('Max', True)\nSmall('Max', False)\nBlue('Max', True)\nOpaque('Max', True)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Max', True)\nAccording to the implied fact: Yumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-192_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Jompuses are not liquid. Every tumpus is temperate. Tumpuses are zumpuses. Zumpuses are bitter. Zumpuses are vumpuses. Vumpuses are not dull. Vumpuses are wumpuses. Wumpuses are liquid. Wumpuses are impuses. Every impus is fruity. Impuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Liquid($x, False)\nrule2: Tumpus($x, True) → Temperate($x, True)\nrule3: Tumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Bitter($x, True)\nrule5: Zumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Dull($x, False)\nrule7: Vumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Liquid($x, True)\nrule9: Wumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Fruity($x, True)\nrule11: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Bitter($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nVumpus('Polly', True)\nWumpus('Polly', True)\nImpus('Polly', True)\nTemperate('Polly', True)\nBitter('Polly', True)\nDull('Polly', False)\nLiquid('Polly', True)\nFruity('Polly', True)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Polly', False)\nAccording to the implied fact: Numpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-116_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Every vumpus is red. Every vumpus is a wumpus. Every zumpus is not shy. Each wumpus is not dull. Wumpuses are rompuses. Rompuses are earthy. Every rompus is a jompus. Every jompus is not amenable. Each jompus is a numpus. Numpuses are not large. Every numpus is an impus. Impuses are shy. Impuses are yumpuses. Each yumpus is hot. Each yumpus is a tumpus. Each tumpus is not luminous. Every tumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Red($x, True)\nrule2: Vumpus($x, True) → Wumpus($x, True)\nrule3: Zumpus($x, True) → Shy($x, False)\nrule4: Wumpus($x, True) → Dull($x, False)\nrule5: Wumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Earthy($x, True)\nrule7: Rompus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Amenable($x, False)\nrule9: Jompus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Large($x, False)\nrule11: Numpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Shy($x, True)\nrule13: Impus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Hot($x, True)\nrule15: Yumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Luminous($x, False)\nrule17: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Numpus($x, True) → Large($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Luminous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Polly', True)\nYumpus('Polly', True)\nTumpus('Polly', True)\nLarge('Polly', False)\nShy('Polly', True)\nHot('Polly', True)\nLuminous('Polly', False)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Polly', True)\nAccording to the implied fact: Luminous('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-287_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Each wumpus is small. Every wumpus is an impus. Each impus is bright. Each impus is a rompus. Rompuses are not bitter. Yumpuses are bitter. Rompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, True)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Bright($x, True)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Bitter($x, False)\nrule6: Yumpus($x, True) → Bitter($x, True)\nrule7: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Bitter($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Alex', True)\nRompus('Alex', True)\nSmall('Alex', True)\nBright('Alex', True)\nBitter('Alex', False)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Alex', False)\nAccording to the implied fact: Bitter('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-121_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a rompus. Every dumpus is angry. Dumpuses are jompuses. Every jompus is not temperate. Every vumpus is small. Jompuses are zumpuses. Zumpuses are bright. Each zumpus is a rompus. Rompuses are not small. Each rompus is an impus. Impuses are blue. Every impus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Angry($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Temperate($x, False)\nrule4: Vumpus($x, True) → Small($x, True)\nrule5: Jompus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Bright($x, True)\nrule7: Zumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Small($x, False)\nrule9: Rompus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Blue($x, True)\nrule11: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Rompus($x, True) → Small($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nSmall('Rex', False)\nBlue('Rex', True)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Rex', False)\nAccording to the implied fact: Small('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-60_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Jompuses are cold. Every numpus is not transparent. Every jompus is an impus. Each impus is transparent. Impuses are vumpuses. Vumpuses are fruity. Each vumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Cold($x, True)\nrule2: Numpus($x, True) → Transparent($x, False)\nrule3: Jompus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Transparent($x, True)\nrule5: Impus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Fruity($x, True)\nrule7: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Jompus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Transparent($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Stella', True)\nVumpus('Stella', True)\nCold('Stella', True)\nTransparent('Stella', True)\nFruity('Stella', True)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Stella', False)\nAccording to the implied fact: Transparent('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-55_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Every rompus is opaque. Every rompus is a jompus. Each jompus is wooden. Jompuses are yumpuses. Yumpuses are sour. Every yumpus is a numpus. Each numpus is fruity. Numpuses are tumpuses. Tumpuses are nervous. Every tumpus is an impus. Every dumpus is not large. Impuses are large. Every impus is a wumpus. Wumpuses are not dull. Every wumpus is a zumpus. Each zumpus is orange. Zumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Opaque($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Wooden($x, True)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Sour($x, True)\nrule6: Yumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Fruity($x, True)\nrule8: Numpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Nervous($x, True)\nrule10: Tumpus($x, True) → Impus($x, True)\nrule11: Dumpus($x, True) → Large($x, False)\nrule12: Impus($x, True) → Large($x, True)\nrule13: Impus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Dull($x, False)\nrule15: Wumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Orange($x, True)\nrule17: Zumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Wooden($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Sour($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Impus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Orange($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Rex', True)\nNumpus('Rex', True)\nTumpus('Rex', True)\nImpus('Rex', True)\nWumpus('Rex', True)\nZumpus('Rex', True)\nWooden('Rex', True)\nSour('Rex', True)\nFruity('Rex', True)\nNervous('Rex', True)\nLarge('Rex', True)\nDull('Rex', False)\nOrange('Rex', True)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Rex', True)\nAccording to the implied fact: Large('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-152_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Each zumpus is floral. Each zumpus is an impus. Every impus is aggressive. Each impus is a numpus. Wumpuses are not bitter. Each numpus is bright. Numpuses are yumpuses. Yumpuses are not hot. Yumpuses are vumpuses. Each vumpus is transparent. Each vumpus is a tumpus. Tumpuses are nervous. Every tumpus is a jompus. Jompuses are bitter. Jompuses are rompuses. Every rompus is large. Each rompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Floral($x, True)\nrule2: Zumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Aggressive($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Wumpus($x, True) → Bitter($x, False)\nrule6: Numpus($x, True) → Bright($x, True)\nrule7: Numpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Hot($x, False)\nrule9: Yumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Transparent($x, True)\nrule11: Vumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Nervous($x, True)\nrule13: Tumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Bitter($x, True)\nrule15: Jompus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Large($x, True)\nrule17: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nRompus('Fae', True)\nNervous('Fae', True)\nBitter('Fae', True)\nLarge('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Fae', False)\nAccording to the implied fact: Dumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-276_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Every wumpus is not red. Wumpuses are jompuses. Jompuses are not transparent. Every jompus is a vumpus. Each rompus is large. Every vumpus is spicy. Each vumpus is a zumpus. Every zumpus is not cold. Every zumpus is a tumpus. Every tumpus is not large. Tumpuses are dumpuses. Every dumpus is bright. Every dumpus is a numpus. Every numpus is fruity. Numpuses are yumpuses. Every yumpus is mean. Yumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Red($x, False)\nrule2: Wumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Transparent($x, False)\nrule4: Jompus($x, True) → Vumpus($x, True)\nrule5: Rompus($x, True) → Large($x, True)\nrule6: Vumpus($x, True) → Spicy($x, True)\nrule7: Vumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Cold($x, False)\nrule9: Zumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Large($x, False)\nrule11: Tumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Bright($x, True)\nrule13: Dumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Fruity($x, True)\nrule15: Numpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Mean($x, True)\nrule17: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Tumpus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Mean($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Mean('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Max', True)\nNumpus('Max', True)\nYumpus('Max', True)\nLarge('Max', False)\nBright('Max', True)\nFruity('Max', True)\nMean('Max', True)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Max', True)\nAccording to the implied fact: Large('Max', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-27_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Each impus is floral. Every impus is a vumpus. Vumpuses are small. Vumpuses are jompuses. Jompuses are dull. Jompuses are rompuses. Rompuses are mean. Every rompus is a yumpus. Each yumpus is red. Yumpuses are wumpuses. Wumpuses are feisty. Dumpuses are not feisty. Each wumpus is a zumpus. Zumpuses are spicy. Every zumpus is a numpus. Each numpus is not transparent. Numpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Floral($x, True)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Small($x, True)\nrule4: Vumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Dull($x, True)\nrule6: Jompus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Mean($x, True)\nrule8: Rompus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Red($x, True)\nrule10: Yumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Feisty($x, True)\nrule12: Dumpus($x, True) → Feisty($x, False)\nrule13: Wumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Spicy($x, True)\nrule15: Zumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Transparent($x, False)\nrule17: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Mean($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Mean('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Red($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Transparent($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nYumpus('Rex', True)\nWumpus('Rex', True)\nZumpus('Rex', True)\nNumpus('Rex', True)\nDull('Rex', True)\nMean('Rex', True)\nRed('Rex', True)\nFeisty('Rex', True)\nSpicy('Rex', True)\nTransparent('Rex', False)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Rex', True)\nAccording to the known fact: Jompus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-20_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Zumpuses are not transparent. Zumpuses are tumpuses. Every tumpus is not large. Tumpuses are dumpuses. Impuses are not mean. Dumpuses are liquid. Dumpuses are wumpuses. Wumpuses are spicy. Wumpuses are yumpuses. Yumpuses are cold. Yumpuses are rompuses. Rompuses are earthy. Rompuses are vumpuses. Vumpuses are not happy. Vumpuses are numpuses. Numpuses are mean. Every numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, False)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Large($x, False)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Impus($x, True) → Mean($x, False)\nrule6: Dumpus($x, True) → Liquid($x, True)\nrule7: Dumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Spicy($x, True)\nrule9: Wumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Cold($x, True)\nrule11: Yumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Earthy($x, True)\nrule13: Rompus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Happy($x, False)\nrule15: Vumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Mean($x, True)\nrule17: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule16: Numpus($x, True) → Mean($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Mean('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nMean('Max', True)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Max', False)\nAccording to the known fact: Numpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-151_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Every vumpus is not cold. Vumpuses are impuses. Impuses are small. Every impus is a tumpus. Each tumpus is not mean. Tumpuses are wumpuses. Every wumpus is feisty. Every wumpus is a yumpus. Each yumpus is not red. Each yumpus is a zumpus. Each zumpus is not spicy. Zumpuses are dumpuses. Dumpuses are not opaque. Dumpuses are rompuses. Rompuses are dull. Rompuses are jompuses. Numpuses are not small.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Cold($x, False)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Small($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Mean($x, False)\nrule6: Tumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Feisty($x, True)\nrule8: Wumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Red($x, False)\nrule10: Yumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Spicy($x, False)\nrule12: Zumpus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Opaque($x, False)\nrule14: Dumpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Dull($x, True)\nrule16: Rompus($x, True) → Jompus($x, True)\nrule17: Numpus($x, True) → Small($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Cold($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Mean($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Mean('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Red($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Spicy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Spicy('Fae', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nImpus('Fae', True)\nTumpus('Fae', True)\nWumpus('Fae', True)\nYumpus('Fae', True)\nZumpus('Fae', True)\nDumpus('Fae', True)\nRompus('Fae', True)\nCold('Fae', False)\nSmall('Fae', True)\nMean('Fae', False)\nFeisty('Fae', True)\nRed('Fae', False)\nSpicy('Fae', False)\nOpaque('Fae', False)\nDull('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Fae', False)\nAccording to the implied fact: Rompus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-111_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Rompuses are not luminous. Rompuses are numpuses. Numpuses are not orange. Every numpus is an impus. Dumpuses are opaque. Impuses are not floral. Each impus is a tumpus. Tumpuses are not opaque. Every tumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Luminous($x, False)\nrule2: Rompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Orange($x, False)\nrule4: Numpus($x, True) → Impus($x, True)\nrule5: Dumpus($x, True) → Opaque($x, True)\nrule6: Impus($x, True) → Floral($x, False)\nrule7: Impus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Opaque($x, False)\nrule9: Tumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Orange($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Impus($x, True) → Floral($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nTumpus('Max', True)\nOrange('Max', False)\nFloral('Max', False)\nOpaque('Max', False)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', False)\nAccording to the implied fact: Vumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-398_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Wumpuses are feisty. Wumpuses are impuses. Every impus is not small. Every impus is a vumpus. Every vumpus is not transparent. Vumpuses are zumpuses. Each zumpus is dull. Zumpuses are dumpuses. Each dumpus is temperate. Each dumpus is a jompus. Jompuses are earthy. Yumpuses are not earthy. Every jompus is a tumpus. Every tumpus is brown. Tumpuses are numpuses. Each numpus is aggressive. Numpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Feisty($x, True)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Small($x, False)\nrule4: Impus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Transparent($x, False)\nrule6: Vumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Dull($x, True)\nrule8: Zumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Temperate($x, True)\nrule10: Dumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Earthy($x, True)\nrule12: Yumpus($x, True) → Earthy($x, False)\nrule13: Jompus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Brown($x, True)\nrule15: Tumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Aggressive($x, True)\nrule17: Numpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Transparent($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Brown($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Aggressive($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nZumpus('Max', True)\nDumpus('Max', True)\nJompus('Max', True)\nTumpus('Max', True)\nNumpus('Max', True)\nSmall('Max', False)\nTransparent('Max', False)\nDull('Max', True)\nTemperate('Max', True)\nEarthy('Max', True)\nBrown('Max', True)\nAggressive('Max', True)\nRompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Max', True)\nAccording to the implied fact: Temperate('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-137_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Vumpuses are red. Vumpuses are zumpuses. Every zumpus is wooden. Each zumpus is a numpus. Every numpus is floral. Every numpus is an impus. Impuses are not dull. Every impus is a tumpus. Tumpuses are feisty. Each jompus is dull. Every tumpus is a wumpus. Wumpuses are not opaque. Each wumpus is a dumpus. Each dumpus is not sour. Dumpuses are yumpuses. Every yumpus is not aggressive. Each yumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Red($x, True)\nrule2: Vumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Wooden($x, True)\nrule4: Zumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Floral($x, True)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Dull($x, False)\nrule8: Impus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Feisty($x, True)\nrule10: Jompus($x, True) → Dull($x, True)\nrule11: Tumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Opaque($x, False)\nrule13: Wumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Sour($x, False)\nrule15: Dumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Aggressive($x, False)\nrule17: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Dull($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Sour($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Aggressive($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Aggressive('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Sam', True)\nImpus('Sam', True)\nTumpus('Sam', True)\nWumpus('Sam', True)\nDumpus('Sam', True)\nYumpus('Sam', True)\nWooden('Sam', True)\nFloral('Sam', True)\nDull('Sam', False)\nFeisty('Sam', True)\nOpaque('Sam', False)\nSour('Sam', False)\nAggressive('Sam', False)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', False)\nAccording to the implied fact: Wumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-143_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Each dumpus is not large. Dumpuses are vumpuses. Every vumpus is not opaque. Every vumpus is an impus. Each impus is not bright. Every impus is a jompus. Each jompus is not nervous. Jompuses are wumpuses. Wumpuses are not luminous. Each zumpus is luminous. Wumpuses are yumpuses. Each yumpus is kind. Yumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, False)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Opaque($x, False)\nrule4: Vumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Bright($x, False)\nrule6: Impus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Nervous($x, False)\nrule8: Jompus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Luminous($x, False)\nrule10: Zumpus($x, True) → Luminous($x, True)\nrule11: Wumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Kind($x, True)\nrule13: Yumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Nervous($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Luminous($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Kind($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nWumpus('Wren', True)\nYumpus('Wren', True)\nBright('Wren', False)\nNervous('Wren', False)\nLuminous('Wren', False)\nKind('Wren', True)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', False)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-280_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a rompus. Every rompus is not liquid. Rompuses are tumpuses. Every tumpus is not mean. Every tumpus is a dumpus. Each dumpus is not small. Every jompus is small. Every dumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nRompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Liquid($x, False)\nrule2: Rompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Mean($x, False)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Small($x, False)\nrule6: Jompus($x, True) → Small($x, True)\nrule7: Dumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Liquid($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Mean($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Mean('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Small($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nDumpus('Sally', True)\nLiquid('Sally', False)\nMean('Sally', False)\nSmall('Sally', False)\nWumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sally', False)\nAccording to the known fact: Rompus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-253_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Every zumpus is fruity. Zumpuses are numpuses. Numpuses are metallic. Each numpus is a vumpus. Every wumpus is not dull. Each vumpus is dull. Vumpuses are jompuses. Jompuses are not kind. Every jompus is a tumpus. Tumpuses are not red. Tumpuses are dumpuses. Each dumpus is not opaque. Dumpuses are yumpuses. Every yumpus is not sweet. Yumpuses are impuses. Every impus is not temperate. Each impus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Fruity($x, True)\nrule2: Zumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Metallic($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Wumpus($x, True) → Dull($x, False)\nrule6: Vumpus($x, True) → Dull($x, True)\nrule7: Vumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Kind($x, False)\nrule9: Jompus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Red($x, False)\nrule11: Tumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Opaque($x, False)\nrule13: Dumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Sweet($x, False)\nrule15: Yumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Temperate($x, False)\nrule17: Impus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Metallic($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Kind($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Red($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Opaque($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Sweet($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Sweet('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Temperate($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nJompus('Polly', True)\nTumpus('Polly', True)\nDumpus('Polly', True)\nYumpus('Polly', True)\nImpus('Polly', True)\nMetallic('Polly', True)\nDull('Polly', True)\nKind('Polly', False)\nRed('Polly', False)\nOpaque('Polly', False)\nSweet('Polly', False)\nTemperate('Polly', False)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not kind.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nKind('Polly', False)\nAccording to the implied fact: Kind('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-359_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Impuses are brown. Each impus is a dumpus. Dumpuses are small. Each dumpus is a tumpus. Tumpuses are sour. Each tumpus is a zumpus. Zumpuses are amenable. Each zumpus is a numpus. Vumpuses are not amenable.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Brown($x, True)\nrule2: Impus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Small($x, True)\nrule4: Dumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Sour($x, True)\nrule6: Tumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Amenable($x, True)\nrule8: Zumpus($x, True) → Numpus($x, True)\nrule9: Vumpus($x, True) → Amenable($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Sour($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Amenable($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nDumpus('Wren', True)\nTumpus('Wren', True)\nZumpus('Wren', True)\nBrown('Wren', True)\nSmall('Wren', True)\nSour('Wren', True)\nAmenable('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Wren', False)\nAccording to the implied fact: Tumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-339_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Jompuses are opaque. Jompuses are tumpuses. Yumpuses are luminous. Every tumpus is angry. Tumpuses are zumpuses. Every zumpus is temperate. Every zumpus is a wumpus. Every wumpus is sweet. Every wumpus is a vumpus. Each vumpus is happy. Every vumpus is a numpus. Numpuses are small. Numpuses are impuses. Every impus is not luminous. Impuses are rompuses. Rompuses are earthy. Every rompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Opaque($x, True)\nrule2: Jompus($x, True) → Tumpus($x, True)\nrule3: Yumpus($x, True) → Luminous($x, True)\nrule4: Tumpus($x, True) → Angry($x, True)\nrule5: Tumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Temperate($x, True)\nrule7: Zumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Sweet($x, True)\nrule9: Wumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Happy($x, True)\nrule11: Vumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Small($x, True)\nrule13: Numpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Luminous($x, False)\nrule15: Impus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Earthy($x, True)\nrule17: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Sweet($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sweet('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Happy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Happy('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Luminous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nVumpus('Rex', True)\nNumpus('Rex', True)\nImpus('Rex', True)\nRompus('Rex', True)\nTemperate('Rex', True)\nSweet('Rex', True)\nHappy('Rex', True)\nSmall('Rex', True)\nLuminous('Rex', False)\nEarthy('Rex', True)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', False)\nAccording to the known fact: Zumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-281_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Each yumpus is not blue. Yumpuses are numpuses. Each numpus is cold. Every numpus is a wumpus. Every wumpus is small. Wumpuses are tumpuses. Each tumpus is opaque. Tumpuses are jompuses. Jompuses are not metallic. Jompuses are rompuses. Each rompus is sweet. Each rompus is an impus. Impuses are kind. Every impus is a vumpus. Every vumpus is not earthy. Each vumpus is a zumpus. Dumpuses are metallic.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Blue($x, False)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Cold($x, True)\nrule4: Numpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Small($x, True)\nrule6: Wumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Opaque($x, True)\nrule8: Tumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Metallic($x, False)\nrule10: Jompus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Sweet($x, True)\nrule12: Rompus($x, True) → Impus($x, True)\nrule13: Impus($x, True) → Kind($x, True)\nrule14: Impus($x, True) → Vumpus($x, True)\nrule15: Vumpus($x, True) → Earthy($x, False)\nrule16: Vumpus($x, True) → Zumpus($x, True)\nrule17: Dumpus($x, True) → Metallic($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Metallic($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Metallic('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Earthy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nTumpus('Max', True)\nJompus('Max', True)\nRompus('Max', True)\nImpus('Max', True)\nVumpus('Max', True)\nSmall('Max', True)\nOpaque('Max', True)\nMetallic('Max', False)\nSweet('Max', True)\nKind('Max', True)\nEarthy('Max', False)\nZumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is kind.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nKind('Max', True)\nAccording to the implied fact: Kind('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-405_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Every impus is not orange. Every impus is a wumpus. Wumpuses are not angry. Wumpuses are numpuses. Each numpus is not transparent. Numpuses are tumpuses. Every tumpus is liquid. Each tumpus is a zumpus. Each zumpus is not feisty. Zumpuses are vumpuses. Vumpuses are dull. Vumpuses are jompuses. Jompuses are not hot. Jompuses are yumpuses. Yumpuses are not large. Every dumpus is large. Yumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Orange($x, False)\nrule2: Impus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Angry($x, False)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Transparent($x, False)\nrule6: Numpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Liquid($x, True)\nrule8: Tumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Feisty($x, False)\nrule10: Zumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Dull($x, True)\nrule12: Vumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Hot($x, False)\nrule14: Jompus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Large($x, False)\nrule16: Dumpus($x, True) → Large($x, True)\nrule17: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule13: Jompus($x, True) → Hot($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Large($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nHot('Sally', False)\nLarge('Sally', False)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sally', True)\nAccording to the known fact: Jompus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-232_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Each wumpus is dull. Wumpuses are dumpuses. Dumpuses are not nervous. Each dumpus is a jompus. Every jompus is not opaque. Rompuses are opaque. Every jompus is a vumpus. Each vumpus is earthy. Vumpuses are tumpuses. Every tumpus is not bitter. Every tumpus is an impus. Impuses are blue. Every impus is a yumpus. Yumpuses are large. Every yumpus is a numpus. Numpuses are not metallic. Numpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Dull($x, True)\nrule2: Wumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Nervous($x, False)\nrule4: Dumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Opaque($x, False)\nrule6: Rompus($x, True) → Opaque($x, True)\nrule7: Jompus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Earthy($x, True)\nrule9: Vumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Bitter($x, False)\nrule11: Tumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Blue($x, True)\nrule13: Impus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Large($x, True)\nrule15: Yumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Metallic($x, False)\nrule17: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Nervous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Bitter($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Metallic($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nJompus('Sally', True)\nVumpus('Sally', True)\nTumpus('Sally', True)\nImpus('Sally', True)\nYumpus('Sally', True)\nNumpus('Sally', True)\nDull('Sally', True)\nNervous('Sally', False)\nOpaque('Sally', False)\nEarthy('Sally', True)\nBitter('Sally', False)\nBlue('Sally', True)\nLarge('Sally', True)\nMetallic('Sally', False)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sally', True)\nAccording to the implied fact: Dumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-322_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Rompuses are bright. Rompuses are numpuses. Numpuses are large. Every numpus is a vumpus. Vumpuses are not orange. Each vumpus is an impus. Impuses are sour. Impuses are jompuses. Each jompus is feisty. Jompuses are wumpuses. Every wumpus is hot. Wumpuses are tumpuses. Every dumpus is not sour. Tumpuses are wooden. Each tumpus is a yumpus. Yumpuses are fruity. Yumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, True)\nrule2: Rompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Large($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Orange($x, False)\nrule6: Vumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Sour($x, True)\nrule8: Impus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Feisty($x, True)\nrule10: Jompus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Hot($x, True)\nrule12: Wumpus($x, True) → Tumpus($x, True)\nrule13: Dumpus($x, True) → Sour($x, False)\nrule14: Tumpus($x, True) → Wooden($x, True)\nrule15: Tumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Fruity($x, True)\nrule17: Yumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Orange($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Sour($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Feisty($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Tumpus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nVumpus('Max', True)\nImpus('Max', True)\nJompus('Max', True)\nWumpus('Max', True)\nTumpus('Max', True)\nYumpus('Max', True)\nBright('Max', True)\nLarge('Max', True)\nOrange('Max', False)\nSour('Max', True)\nFeisty('Max', True)\nHot('Max', True)\nWooden('Max', True)\nFruity('Max', True)\nZumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Max', False)\nAccording to the implied fact: Yumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-424_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Each wumpus is orange. Wumpuses are tumpuses. Every tumpus is hot. Tumpuses are impuses. Numpuses are not happy. Impuses are not small. Impuses are jompuses. Each jompus is happy. Each jompus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Orange($x, True)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Hot($x, True)\nrule4: Tumpus($x, True) → Impus($x, True)\nrule5: Numpus($x, True) → Happy($x, False)\nrule6: Impus($x, True) → Small($x, False)\nrule7: Impus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Happy($x, True)\nrule9: Jompus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Orange($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Orange('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Impus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nImpus('Wren', True)\nJompus('Wren', True)\nOrange('Wren', True)\nHot('Wren', True)\nSmall('Wren', False)\nHappy('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Wren', True)\nAccording to the implied fact: Tumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-371_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Each dumpus is not large. Dumpuses are rompuses. Rompuses are hot. Every rompus is a zumpus. Every zumpus is aggressive. Each zumpus is an impus. Vumpuses are not hot. Each impus is nervous. Impuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, False)\nrule2: Dumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Hot($x, True)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Aggressive($x, True)\nrule6: Zumpus($x, True) → Impus($x, True)\nrule7: Vumpus($x, True) → Hot($x, False)\nrule8: Impus($x, True) → Nervous($x, True)\nrule9: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Aggressive('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Impus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nImpus('Sam', True)\nHot('Sam', True)\nAggressive('Sam', True)\nNervous('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sam', False)\nAccording to the implied fact: Impus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-378_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Zumpuses are blue. Each jompus is opaque. Zumpuses are dumpuses. Each dumpus is bitter. Dumpuses are impuses. Each impus is wooden. Impuses are rompuses. Rompuses are floral. Every rompus is a wumpus. Wumpuses are not small. Each wumpus is a tumpus. Every tumpus is not opaque. Tumpuses are vumpuses. Every vumpus is shy. Each vumpus is a yumpus. Every yumpus is aggressive. Every yumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Blue($x, True)\nrule2: Jompus($x, True) → Opaque($x, True)\nrule3: Zumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Bitter($x, True)\nrule5: Dumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Wooden($x, True)\nrule7: Impus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Floral($x, True)\nrule9: Rompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Small($x, False)\nrule11: Wumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Opaque($x, False)\nrule13: Tumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Shy($x, True)\nrule15: Vumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Aggressive($x, True)\nrule17: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Wumpus($x, True) → Small($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Rex', True)\nVumpus('Rex', True)\nYumpus('Rex', True)\nSmall('Rex', False)\nOpaque('Rex', False)\nShy('Rex', True)\nAggressive('Rex', True)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Rex', True)\nAccording to the implied fact: Vumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-41_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Yumpuses are not sweet. Each yumpus is a rompus. Each rompus is not dull. Zumpuses are dull. Rompuses are impuses. Each impus is temperate. Each impus is a vumpus. Every vumpus is not luminous. Each vumpus is a dumpus. Each dumpus is not floral. Dumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Sweet($x, False)\nrule2: Yumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Dull($x, False)\nrule4: Zumpus($x, True) → Dull($x, True)\nrule5: Rompus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Temperate($x, True)\nrule7: Impus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Luminous($x, False)\nrule9: Vumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Floral($x, False)\nrule11: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Sweet($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Sweet('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Dull($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Luminous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nImpus('Sally', True)\nVumpus('Sally', True)\nDumpus('Sally', True)\nSweet('Sally', False)\nDull('Sally', False)\nTemperate('Sally', True)\nLuminous('Sally', False)\nFloral('Sally', False)\nJompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Sally', False)\nAccording to the implied fact: Temperate('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-369_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Each jompus is not temperate. Every jompus is a tumpus. Tumpuses are floral. Tumpuses are vumpuses. Numpuses are not orange. Every vumpus is mean. Each vumpus is a yumpus. Every yumpus is orange. Every yumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Temperate($x, False)\nrule2: Jompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Floral($x, True)\nrule4: Tumpus($x, True) → Vumpus($x, True)\nrule5: Numpus($x, True) → Orange($x, False)\nrule6: Vumpus($x, True) → Mean($x, True)\nrule7: Vumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Orange($x, True)\nrule9: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nOrange('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Polly', False)\nAccording to the known fact: Yumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-63_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Every wumpus is small. Every yumpus is not feisty. Every yumpus is a dumpus. Dumpuses are not small. Every dumpus is a numpus. Numpuses are not blue. Each numpus is a vumpus. Vumpuses are not amenable. Every vumpus is an impus. Impuses are temperate. Every impus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, True)\nrule2: Yumpus($x, True) → Feisty($x, False)\nrule3: Yumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Small($x, False)\nrule5: Dumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Blue($x, False)\nrule7: Numpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Amenable($x, False)\nrule9: Vumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Temperate($x, True)\nrule11: Impus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Dumpus($x, True) → Small($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Blue($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Amenable($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Amenable('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nVumpus('Rex', True)\nImpus('Rex', True)\nSmall('Rex', False)\nBlue('Rex', False)\nAmenable('Rex', False)\nTemperate('Rex', True)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Rex', False)\nAccording to the implied fact: Small('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-368_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is an impus. Each impus is not sweet. Each impus is a dumpus. Dumpuses are not transparent. Wumpuses are sweet. Dumpuses are rompuses. Rompuses are orange. Each rompus is a zumpus. Zumpuses are not metallic. Zumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Sweet($x, False)\nrule2: Impus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Transparent($x, False)\nrule4: Wumpus($x, True) → Sweet($x, True)\nrule5: Dumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Orange($x, True)\nrule7: Rompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Metallic($x, False)\nrule9: Zumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Sweet($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Sweet('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Metallic($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nRompus('Polly', True)\nZumpus('Polly', True)\nSweet('Polly', False)\nTransparent('Polly', False)\nOrange('Polly', True)\nMetallic('Polly', False)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Polly', True)\nAccording to the implied fact: Transparent('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-406_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Tumpuses are luminous. Tumpuses are rompuses. Rompuses are not happy. Rompuses are numpuses. Numpuses are hot. Numpuses are impuses. Every impus is angry. Impuses are zumpuses. Zumpuses are not blue. Every zumpus is a jompus. Yumpuses are blue. Jompuses are sweet. Every jompus is a dumpus. Dumpuses are bright. Dumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Luminous($x, True)\nrule2: Tumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Happy($x, False)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Hot($x, True)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Angry($x, True)\nrule8: Impus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Blue($x, False)\nrule10: Zumpus($x, True) → Jompus($x, True)\nrule11: Yumpus($x, True) → Blue($x, True)\nrule12: Jompus($x, True) → Sweet($x, True)\nrule13: Jompus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Bright($x, True)\nrule15: Dumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Zumpus($x, True) → Blue($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Jompus($x, True) → Sweet($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nDumpus('Alex', True)\nBlue('Alex', False)\nSweet('Alex', True)\nBright('Alex', True)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Alex', False)\nAccording to the implied fact: Blue('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-373_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Zumpuses are not liquid. Zumpuses are rompuses. Rompuses are happy. Every rompus is a dumpus. Dumpuses are blue. Every dumpus is a tumpus. Tumpuses are large. Vumpuses are not blue. Tumpuses are jompuses. Each jompus is transparent. Jompuses are yumpuses. Each yumpus is not angry. Yumpuses are numpuses. Each numpus is not dull. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Liquid($x, False)\nrule2: Zumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Happy($x, True)\nrule4: Rompus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Blue($x, True)\nrule6: Dumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Large($x, True)\nrule8: Vumpus($x, True) → Blue($x, False)\nrule9: Tumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Transparent($x, True)\nrule11: Jompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Angry($x, False)\nrule13: Yumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Dull($x, False)\nrule15: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Angry($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Angry('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Dull($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nJompus('Sally', True)\nYumpus('Sally', True)\nNumpus('Sally', True)\nBlue('Sally', True)\nLarge('Sally', True)\nTransparent('Sally', True)\nAngry('Sally', False)\nDull('Sally', False)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Sally', False)\nAccording to the implied fact: Large('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-39_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a vumpus. Each tumpus is not spicy. Tumpuses are vumpuses. Vumpuses are not luminous. Every numpus is happy. Every vumpus is a yumpus. Yumpuses are cold. Every yumpus is a rompus. Rompuses are fruity. Each rompus is an impus. Impuses are not happy. Every impus is a wumpus. Wumpuses are not blue. Every wumpus is a jompus. Each jompus is amenable. Jompuses are zumpuses. Each zumpus is large. Zumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nVumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Spicy($x, False)\nrule2: Tumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Luminous($x, False)\nrule4: Numpus($x, True) → Happy($x, True)\nrule5: Vumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Cold($x, True)\nrule7: Yumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Fruity($x, True)\nrule9: Rompus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Happy($x, False)\nrule11: Impus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Blue($x, False)\nrule13: Wumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Amenable($x, True)\nrule15: Jompus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Large($x, True)\nrule17: Zumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Luminous($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Happy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Blue($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Amenable($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nRompus('Max', True)\nImpus('Max', True)\nWumpus('Max', True)\nJompus('Max', True)\nZumpus('Max', True)\nLuminous('Max', False)\nCold('Max', True)\nFruity('Max', True)\nHappy('Max', False)\nBlue('Max', False)\nAmenable('Max', True)\nLarge('Max', True)\nDumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Max', False)\nAccording to the implied fact: Cold('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-494_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Each rompus is not feisty. Jompuses are not large. Rompuses are yumpuses. Every yumpus is temperate. Each yumpus is a vumpus. Each vumpus is not transparent. Vumpuses are dumpuses. Dumpuses are large. Dumpuses are tumpuses. Tumpuses are luminous. Tumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Feisty($x, False)\nrule2: Jompus($x, True) → Large($x, False)\nrule3: Rompus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Temperate($x, True)\nrule5: Yumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Transparent($x, False)\nrule7: Vumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Large($x, True)\nrule9: Dumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Luminous($x, True)\nrule11: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Feisty($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Transparent($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Luminous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nVumpus('Wren', True)\nDumpus('Wren', True)\nTumpus('Wren', True)\nFeisty('Wren', False)\nTemperate('Wren', True)\nTransparent('Wren', False)\nLarge('Wren', True)\nLuminous('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Wren', True)\nAccording to the known fact: Rompus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-156_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Each numpus is fruity. Numpuses are jompuses. Jompuses are bright. Rompuses are not bright. Jompuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Fruity($x, True)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Bright($x, True)\nrule4: Rompus($x, True) → Bright($x, False)\nrule5: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nFruity('Alex', True)\nBright('Alex', True)\nTumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Alex', False)\nAccording to the implied fact: Bright('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-304_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Every impus is kind. Each impus is a zumpus. Zumpuses are orange. Zumpuses are vumpuses. Every vumpus is not earthy. Each vumpus is a wumpus. Wumpuses are spicy. Wumpuses are dumpuses. Every dumpus is transparent. Every dumpus is a numpus. Numpuses are not temperate. Numpuses are tumpuses. Each tumpus is dull. Each tumpus is a yumpus. Every jompus is earthy. Yumpuses are wooden. Every yumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nKind($x, bool) ::: Is x kind?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Kind($x, True)\nrule2: Impus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Orange($x, True)\nrule4: Zumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Earthy($x, False)\nrule6: Vumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Spicy($x, True)\nrule8: Wumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Transparent($x, True)\nrule10: Dumpus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Temperate($x, False)\nrule12: Numpus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Dull($x, True)\nrule14: Tumpus($x, True) → Yumpus($x, True)\nrule15: Jompus($x, True) → Earthy($x, True)\nrule16: Yumpus($x, True) → Wooden($x, True)\nrule17: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Kind($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Kind('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Orange($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Earthy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Temperate($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Yumpus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nVumpus('Sam', True)\nWumpus('Sam', True)\nDumpus('Sam', True)\nNumpus('Sam', True)\nTumpus('Sam', True)\nYumpus('Sam', True)\nKind('Sam', True)\nOrange('Sam', True)\nEarthy('Sam', False)\nSpicy('Sam', True)\nTransparent('Sam', True)\nTemperate('Sam', False)\nDull('Sam', True)\nWooden('Sam', True)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sam', True)\nAccording to the implied fact: Numpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-184_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Each jompus is mean. Jompuses are vumpuses. Every vumpus is not floral. Every vumpus is a yumpus. Each yumpus is wooden. Each yumpus is a zumpus. Each zumpus is not dull. Zumpuses are wumpuses. Each impus is not cold. Wumpuses are blue. Wumpuses are rompuses. Rompuses are transparent. Each rompus is a numpus. Numpuses are not bitter. Every numpus is a dumpus. Dumpuses are cold. Every dumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Mean($x, True)\nrule2: Jompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Floral($x, False)\nrule4: Vumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Wooden($x, True)\nrule6: Yumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Dull($x, False)\nrule8: Zumpus($x, True) → Wumpus($x, True)\nrule9: Impus($x, True) → Cold($x, False)\nrule10: Wumpus($x, True) → Blue($x, True)\nrule11: Wumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Transparent($x, True)\nrule13: Rompus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Bitter($x, False)\nrule15: Numpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Cold($x, True)\nrule17: Dumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Bitter($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Wren', True)\nDumpus('Wren', True)\nTransparent('Wren', True)\nBitter('Wren', False)\nCold('Wren', True)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Wren', False)\nAccording to the implied fact: Bitter('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-464_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a wumpus. Every dumpus is temperate. Dumpuses are tumpuses. Each tumpus is bitter. Each tumpus is an impus. Impuses are feisty. Impuses are jompuses. Jompuses are large. Each jompus is a wumpus. Wumpuses are luminous. Each wumpus is a vumpus. Vumpuses are fruity. Vumpuses are rompuses. Rompuses are not dull. Rompuses are numpuses. Numpuses are opaque. Every numpus is a zumpus. Yumpuses are not luminous.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nWumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Temperate($x, True)\nrule2: Dumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Bitter($x, True)\nrule4: Tumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Feisty($x, True)\nrule6: Impus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Large($x, True)\nrule8: Jompus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Luminous($x, True)\nrule10: Wumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Fruity($x, True)\nrule12: Vumpus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Dull($x, False)\nrule14: Rompus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Opaque($x, True)\nrule16: Numpus($x, True) → Zumpus($x, True)\nrule17: Yumpus($x, True) → Luminous($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Wumpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Dull($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nRompus('Polly', True)\nNumpus('Polly', True)\nLuminous('Polly', True)\nFruity('Polly', True)\nDull('Polly', False)\nOpaque('Polly', True)\nZumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Polly', True)\nAccording to the implied fact: Zumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-21_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Rompuses are brown. Rompuses are vumpuses. Vumpuses are temperate. Tumpuses are transparent. Each vumpus is a zumpus. Each zumpus is not transparent. Zumpuses are dumpuses. Dumpuses are spicy. Dumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Brown($x, True)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Temperate($x, True)\nrule4: Tumpus($x, True) → Transparent($x, True)\nrule5: Vumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Transparent($x, False)\nrule7: Zumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Spicy($x, True)\nrule9: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Rex', True)\nTransparent('Rex', False)\nSpicy('Rex', True)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', False)\nAccording to the known fact: Zumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-168_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Wumpuses are not amenable. Wumpuses are impuses. Every impus is small. Impuses are dumpuses. Dumpuses are earthy. Every dumpus is a yumpus. Each yumpus is brown. Tumpuses are luminous. Yumpuses are jompuses. Each jompus is not nervous. Each jompus is a vumpus. Vumpuses are not luminous. Vumpuses are numpuses. Numpuses are not sour. Numpuses are zumpuses. Zumpuses are not transparent. Every zumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Amenable($x, False)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Small($x, True)\nrule4: Impus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Earthy($x, True)\nrule6: Dumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Brown($x, True)\nrule8: Tumpus($x, True) → Luminous($x, True)\nrule9: Yumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Nervous($x, False)\nrule11: Jompus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Luminous($x, False)\nrule13: Vumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Sour($x, False)\nrule15: Numpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Transparent($x, False)\nrule17: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Brown($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Nervous($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Luminous($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Sour($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nJompus('Fae', True)\nVumpus('Fae', True)\nNumpus('Fae', True)\nZumpus('Fae', True)\nEarthy('Fae', True)\nBrown('Fae', True)\nNervous('Fae', False)\nLuminous('Fae', False)\nSour('Fae', False)\nTransparent('Fae', False)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', True)\nAccording to the implied fact: Vumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-240_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Each tumpus is aggressive. Tumpuses are yumpuses. Yumpuses are opaque. Every yumpus is a wumpus. Every wumpus is bitter. Wumpuses are numpuses. Each numpus is liquid. Every numpus is a dumpus. Every dumpus is dull. Dumpuses are jompuses. Each jompus is not hot. Jompuses are zumpuses. Each zumpus is earthy. Every zumpus is a rompus. Each vumpus is hot. Rompuses are shy. Each rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Aggressive($x, True)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Opaque($x, True)\nrule4: Yumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Bitter($x, True)\nrule6: Wumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Liquid($x, True)\nrule8: Numpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Dull($x, True)\nrule10: Dumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Hot($x, False)\nrule12: Jompus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Earthy($x, True)\nrule14: Zumpus($x, True) → Rompus($x, True)\nrule15: Vumpus($x, True) → Hot($x, True)\nrule16: Rompus($x, True) → Shy($x, True)\nrule17: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Bitter($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Liquid('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Hot($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Rompus($x, True) → Shy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Wren', True)\nDumpus('Wren', True)\nJompus('Wren', True)\nZumpus('Wren', True)\nRompus('Wren', True)\nBitter('Wren', True)\nLiquid('Wren', True)\nDull('Wren', True)\nHot('Wren', False)\nEarthy('Wren', True)\nShy('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Wren', True)\nAccording to the implied fact: Jompus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-338_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Yumpuses are fruity. Yumpuses are zumpuses. Each zumpus is cold. Zumpuses are rompuses. Every numpus is not dull. Every rompus is bitter. Each rompus is a vumpus. Vumpuses are not nervous. Every vumpus is a wumpus. Wumpuses are kind. Wumpuses are tumpuses. Tumpuses are small. Tumpuses are jompuses. Each jompus is not wooden. Every jompus is a dumpus. Dumpuses are dull. Dumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Fruity($x, True)\nrule2: Yumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Cold($x, True)\nrule4: Zumpus($x, True) → Rompus($x, True)\nrule5: Numpus($x, True) → Dull($x, False)\nrule6: Rompus($x, True) → Bitter($x, True)\nrule7: Rompus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Nervous($x, False)\nrule9: Vumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Kind($x, True)\nrule11: Wumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Small($x, True)\nrule13: Tumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Wooden($x, False)\nrule15: Jompus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Dull($x, True)\nrule17: Dumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Vumpus($x, True) → Nervous($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Kind($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Wooden($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nTumpus('Stella', True)\nJompus('Stella', True)\nDumpus('Stella', True)\nNervous('Stella', False)\nKind('Stella', True)\nSmall('Stella', True)\nWooden('Stella', False)\nDull('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Stella', True)\nAccording to the implied fact: Tumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-177_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a vumpus. Every vumpus is shy. Vumpuses are impuses. Yumpuses are liquid. Impuses are not liquid. Each impus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Shy($x, True)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Yumpus($x, True) → Liquid($x, True)\nrule4: Impus($x, True) → Liquid($x, False)\nrule5: Impus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Impus($x, True) → Liquid($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nShy('Max', True)\nLiquid('Max', False)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', False)\nAccording to the known fact: Vumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-282_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a jompus. Each jompus is large. Every jompus is a vumpus. Vumpuses are not kind. Vumpuses are zumpuses. Every zumpus is sweet. Every zumpus is a tumpus. Every tumpus is nervous. Every tumpus is a dumpus. Each dumpus is cold. Every dumpus is a rompus. Rompuses are not opaque. Rompuses are wumpuses. Every yumpus is not cold. Wumpuses are brown. Wumpuses are numpuses. Each numpus is not dull. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nJompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Large($x, True)\nrule2: Jompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Kind($x, False)\nrule4: Vumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Sweet($x, True)\nrule6: Zumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Nervous($x, True)\nrule8: Tumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Cold($x, True)\nrule10: Dumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Opaque($x, False)\nrule12: Rompus($x, True) → Wumpus($x, True)\nrule13: Yumpus($x, True) → Cold($x, False)\nrule14: Wumpus($x, True) → Brown($x, True)\nrule15: Wumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Dull($x, False)\nrule17: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Kind($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Dull($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nZumpus('Wren', True)\nTumpus('Wren', True)\nDumpus('Wren', True)\nRompus('Wren', True)\nWumpus('Wren', True)\nNumpus('Wren', True)\nLarge('Wren', True)\nKind('Wren', False)\nSweet('Wren', True)\nNervous('Wren', True)\nCold('Wren', True)\nOpaque('Wren', False)\nBrown('Wren', True)\nDull('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Wren', False)\nAccording to the implied fact: Tumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-272_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Each impus is sour. Impuses are dumpuses. Yumpuses are not temperate. Dumpuses are not kind. Each dumpus is a rompus. Rompuses are happy. Rompuses are wumpuses. Wumpuses are temperate. Wumpuses are tumpuses. Each tumpus is blue. Each tumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Sour($x, True)\nrule2: Impus($x, True) → Dumpus($x, True)\nrule3: Yumpus($x, True) → Temperate($x, False)\nrule4: Dumpus($x, True) → Kind($x, False)\nrule5: Dumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Happy($x, True)\nrule7: Rompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Temperate($x, True)\nrule9: Wumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Blue($x, True)\nrule11: Tumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Sour($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sour('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Dumpus($x, True) → Kind($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Stella', True)\nRompus('Stella', True)\nWumpus('Stella', True)\nTumpus('Stella', True)\nSour('Stella', True)\nKind('Stella', False)\nHappy('Stella', True)\nTemperate('Stella', True)\nBlue('Stella', True)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Stella', True)\nAccording to the implied fact: Rompus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-438_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Rompuses are not orange. Tumpuses are dull. Every tumpus is a zumpus. Each zumpus is orange. Zumpuses are yumpuses. Yumpuses are temperate. Yumpuses are jompuses. Jompuses are happy. Jompuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Orange($x, False)\nrule2: Tumpus($x, True) → Dull($x, True)\nrule3: Tumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Orange($x, True)\nrule5: Zumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Temperate($x, True)\nrule7: Yumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Happy($x, True)\nrule9: Jompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Happy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nYumpus('Polly', True)\nJompus('Polly', True)\nDull('Polly', True)\nOrange('Polly', True)\nTemperate('Polly', True)\nHappy('Polly', True)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Polly', False)\nAccording to the implied fact: Dull('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-69_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Every wumpus is brown. Each wumpus is a tumpus. Tumpuses are fruity. Each tumpus is a dumpus. Each dumpus is nervous. Every dumpus is an impus. Impuses are small. Each vumpus is opaque. Each impus is a yumpus. Yumpuses are not opaque. Each yumpus is a numpus. Numpuses are bitter. Numpuses are jompuses. Jompuses are temperate. Jompuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Brown($x, True)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Fruity($x, True)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Nervous($x, True)\nrule6: Dumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Small($x, True)\nrule8: Vumpus($x, True) → Opaque($x, True)\nrule9: Impus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Opaque($x, False)\nrule11: Yumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Bitter($x, True)\nrule13: Numpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Temperate($x, True)\nrule15: Jompus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Impus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Opaque($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nNumpus('Sally', True)\nJompus('Sally', True)\nSmall('Sally', True)\nOpaque('Sally', False)\nBitter('Sally', True)\nTemperate('Sally', True)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Sally', True)\nAccording to the implied fact: Bitter('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-321_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Each dumpus is bright. Dumpuses are vumpuses. Each vumpus is floral. Each vumpus is a tumpus. Each tumpus is blue. Each tumpus is a rompus. Every rompus is not transparent. Each rompus is a numpus. Each numpus is not sweet. Each numpus is a yumpus. Yumpuses are not small. Zumpuses are small. Yumpuses are wumpuses. Wumpuses are cold. Every wumpus is a jompus. Each jompus is amenable. Jompuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Bright($x, True)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Floral($x, True)\nrule4: Vumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Blue($x, True)\nrule6: Tumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Transparent($x, False)\nrule8: Rompus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Sweet($x, False)\nrule10: Numpus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Small($x, False)\nrule12: Zumpus($x, True) → Small($x, True)\nrule13: Yumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Cold($x, True)\nrule15: Wumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Amenable($x, True)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Transparent($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Sweet($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Amenable($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nNumpus('Max', True)\nYumpus('Max', True)\nWumpus('Max', True)\nJompus('Max', True)\nBlue('Max', True)\nTransparent('Max', False)\nSweet('Max', False)\nSmall('Max', False)\nCold('Max', True)\nAmenable('Max', True)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Max', True)\nAccording to the implied fact: Cold('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-241_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Impuses are small. Each impus is a rompus. Rompuses are cold. Rompuses are jompuses. Jompuses are not sweet. Every jompus is a vumpus. Every vumpus is amenable. Vumpuses are dumpuses. Zumpuses are not floral. Dumpuses are floral. Every dumpus is a wumpus. Each wumpus is not transparent. Each wumpus is a tumpus. Tumpuses are not shy. Tumpuses are numpuses. Each numpus is brown. Numpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Small($x, True)\nrule2: Impus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Cold($x, True)\nrule4: Rompus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Sweet($x, False)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Amenable($x, True)\nrule8: Vumpus($x, True) → Dumpus($x, True)\nrule9: Zumpus($x, True) → Floral($x, False)\nrule10: Dumpus($x, True) → Floral($x, True)\nrule11: Dumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Transparent($x, False)\nrule13: Wumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Shy($x, False)\nrule15: Tumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Brown($x, True)\nrule17: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Vumpus($x, True) → Amenable($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Dumpus($x, True) → Floral($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Floral('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Shy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Brown($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nWumpus('Polly', True)\nTumpus('Polly', True)\nNumpus('Polly', True)\nAmenable('Polly', True)\nFloral('Polly', True)\nTransparent('Polly', False)\nShy('Polly', False)\nBrown('Polly', True)\nYumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Polly', False)\nAccording to the implied fact: Transparent('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-266_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Every tumpus is happy. Tumpuses are wumpuses. Wumpuses are not temperate. Wumpuses are yumpuses. Yumpuses are floral. Every yumpus is a zumpus. Zumpuses are not transparent. Each numpus is temperate. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Happy($x, True)\nrule2: Tumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Temperate($x, False)\nrule4: Wumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Floral($x, True)\nrule6: Yumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Transparent($x, False)\nrule8: Numpus($x, True) → Temperate($x, True)\nrule9: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Temperate($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nZumpus('Max', True)\nTemperate('Max', False)\nFloral('Max', True)\nTransparent('Max', False)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Max', False)\nAccording to the implied fact: Zumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-285_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Each yumpus is red. Yumpuses are impuses. Each impus is happy. Impuses are wumpuses. Each wumpus is earthy. Every wumpus is a tumpus. Each tumpus is hot. Tumpuses are dumpuses. Zumpuses are not earthy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Red($x, True)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Happy($x, True)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Earthy($x, True)\nrule6: Wumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Hot($x, True)\nrule8: Tumpus($x, True) → Dumpus($x, True)\nrule9: Zumpus($x, True) → Earthy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nWumpus('Sam', True)\nTumpus('Sam', True)\nRed('Sam', True)\nHappy('Sam', True)\nEarthy('Sam', True)\nHot('Sam', True)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', False)\nAccording to the implied fact: Wumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-362_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Impuses are temperate. Impuses are vumpuses. Each vumpus is kind. Every vumpus is a wumpus. Wumpuses are liquid. Every wumpus is a numpus. Each numpus is shy. Numpuses are rompuses. Each tumpus is not shy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Temperate($x, True)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Kind($x, True)\nrule4: Vumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Liquid($x, True)\nrule6: Wumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Shy($x, True)\nrule8: Numpus($x, True) → Rompus($x, True)\nrule9: Tumpus($x, True) → Shy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Liquid('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Shy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nNumpus('Wren', True)\nLiquid('Wren', True)\nShy('Wren', True)\nRompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Wren', False)\nAccording to the implied fact: Numpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-469_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Jompuses are not shy. Every jompus is a zumpus. Every yumpus is shy. Each zumpus is large. Each zumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Shy($x, False)\nrule2: Jompus($x, True) → Zumpus($x, True)\nrule3: Yumpus($x, True) → Shy($x, True)\nrule4: Zumpus($x, True) → Large($x, True)\nrule5: Zumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Shy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Zumpus($x, True) → Large($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nShy('Stella', False)\nLarge('Stella', True)\nVumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', False)\nAccording to the implied fact: Zumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-376_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Each zumpus is temperate. Zumpuses are impuses. Impuses are not transparent. Impuses are vumpuses. Wumpuses are transparent.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Temperate($x, True)\nrule2: Zumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Transparent($x, False)\nrule4: Impus($x, True) → Vumpus($x, True)\nrule5: Wumpus($x, True) → Transparent($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Transparent($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nTransparent('Stella', False)\nVumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Stella', True)\nAccording to the implied fact: Transparent('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-163_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Dumpuses are not dull. Dumpuses are numpuses. Every jompus is not transparent. Every numpus is transparent. Numpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Dull($x, False)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Jompus($x, True) → Transparent($x, False)\nrule4: Numpus($x, True) → Transparent($x, True)\nrule5: Numpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTransparent('Polly', True)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Polly', False)\nAccording to the implied fact: Transparent('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-413_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Wumpuses are large. Wumpuses are impuses. Every impus is not wooden. Impuses are vumpuses. Each zumpus is transparent. Each vumpus is temperate. Vumpuses are rompuses. Each rompus is not transparent. Every rompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Large($x, True)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Wooden($x, False)\nrule4: Impus($x, True) → Vumpus($x, True)\nrule5: Zumpus($x, True) → Transparent($x, True)\nrule6: Vumpus($x, True) → Temperate($x, True)\nrule7: Vumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Transparent($x, False)\nrule9: Rompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Wooden($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Vumpus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Transparent($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nVumpus('Sally', True)\nRompus('Sally', True)\nLarge('Sally', True)\nWooden('Sally', False)\nTemperate('Sally', True)\nTransparent('Sally', False)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sally', False)\nAccording to the known fact: Wumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-137_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Impuses are amenable. Impuses are jompuses. Each jompus is not bright. Jompuses are zumpuses. Zumpuses are floral. Each vumpus is small. Each zumpus is a rompus. Rompuses are not small. Rompuses are numpuses. Each numpus is transparent. Every numpus is a yumpus. Yumpuses are not wooden. Yumpuses are dumpuses. Dumpuses are not sweet. Dumpuses are wumpuses. Each wumpus is orange. Wumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Amenable($x, True)\nrule2: Impus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Bright($x, False)\nrule4: Jompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Floral($x, True)\nrule6: Vumpus($x, True) → Small($x, True)\nrule7: Zumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Small($x, False)\nrule9: Rompus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Transparent($x, True)\nrule11: Numpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Wooden($x, False)\nrule13: Yumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Sweet($x, False)\nrule15: Dumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Orange($x, True)\nrule17: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Small($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Wooden($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Sweet($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Orange($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nNumpus('Sam', True)\nYumpus('Sam', True)\nDumpus('Sam', True)\nWumpus('Sam', True)\nFloral('Sam', True)\nSmall('Sam', False)\nTransparent('Sam', True)\nWooden('Sam', False)\nSweet('Sam', False)\nOrange('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Sam', False)\nAccording to the implied fact: Transparent('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-10_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Every tumpus is sour. Tumpuses are numpuses. Numpuses are amenable. Each wumpus is floral. Numpuses are zumpuses. Each zumpus is not feisty. Zumpuses are rompuses. Rompuses are not floral. Each rompus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nRompus($x, bool) ::: Does x belong to Rompuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Sour($x, True)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Amenable($x, True)\nrule4: Wumpus($x, True) → Floral($x, True)\nrule5: Numpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Feisty($x, False)\nrule7: Zumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Floral($x, False)\nrule9: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Amenable($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Amenable('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Feisty($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Floral($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nZumpus('Fae', True)\nRompus('Fae', True)\nSour('Fae', True)\nAmenable('Fae', True)\nFeisty('Fae', False)\nFloral('Fae', False)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Fae', False)\nAccording to the implied fact: Jompus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-52_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Every dumpus is cold. Dumpuses are vumpuses. Vumpuses are feisty. Every vumpus is a wumpus. Each impus is not cold. Wumpuses are not large. Wumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Cold($x, True)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Feisty($x, True)\nrule4: Vumpus($x, True) → Wumpus($x, True)\nrule5: Impus($x, True) → Cold($x, False)\nrule6: Wumpus($x, True) → Large($x, False)\nrule7: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Wumpus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nVumpus('Rex', True)\nWumpus('Rex', True)\nCold('Rex', True)\nFeisty('Rex', True)\nLarge('Rex', False)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Rex', False)\nAccording to the known fact: Dumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-56_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Impuses are fruity. Every impus is a rompus. Rompuses are not red. Every rompus is a zumpus. Zumpuses are large. Wumpuses are not large. Zumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Fruity($x, True)\nrule2: Impus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Red($x, False)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Large($x, True)\nrule6: Wumpus($x, True) → Large($x, False)\nrule7: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Red($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Red('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nZumpus('Max', True)\nFruity('Max', True)\nRed('Max', False)\nLarge('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Max', True)\nAccording to the implied fact: Large('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-123_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Each wumpus is bright. Every wumpus is a rompus. Every rompus is floral. Each rompus is a yumpus. Every yumpus is not metallic. Every yumpus is a dumpus. Dumpuses are feisty. Dumpuses are impuses. Each impus is large. Impuses are vumpuses. Vumpuses are opaque. Every vumpus is a jompus. Each jompus is temperate. Every jompus is a tumpus. Tumpuses are not kind. Tumpuses are numpuses. Every zumpus is not large.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Bright($x, True)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Floral($x, True)\nrule4: Rompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Metallic($x, False)\nrule6: Yumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Feisty($x, True)\nrule8: Dumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Large($x, True)\nrule10: Impus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Opaque($x, True)\nrule12: Vumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Temperate($x, True)\nrule14: Jompus($x, True) → Tumpus($x, True)\nrule15: Tumpus($x, True) → Kind($x, False)\nrule16: Tumpus($x, True) → Numpus($x, True)\nrule17: Zumpus($x, True) → Large($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Yumpus($x, True) → Metallic($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Kind($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nImpus('Alex', True)\nVumpus('Alex', True)\nJompus('Alex', True)\nTumpus('Alex', True)\nMetallic('Alex', False)\nFeisty('Alex', True)\nLarge('Alex', True)\nOpaque('Alex', True)\nTemperate('Alex', True)\nKind('Alex', False)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Alex', False)\nAccording to the implied fact: Feisty('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-42_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Wumpuses are happy. Wumpuses are numpuses. Numpuses are transparent. Numpuses are vumpuses. Vumpuses are not orange. Vumpuses are zumpuses. Each zumpus is luminous. Every zumpus is a tumpus. Tumpuses are sour. Tumpuses are impuses. Every impus is dull. Impuses are dumpuses. Every yumpus is not temperate. Dumpuses are fruity. Each dumpus is a jompus. Every jompus is temperate. Jompuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Happy($x, True)\nrule2: Wumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Transparent($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Orange($x, False)\nrule6: Vumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Luminous($x, True)\nrule8: Zumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Sour($x, True)\nrule10: Tumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Dull($x, True)\nrule12: Impus($x, True) → Dumpus($x, True)\nrule13: Yumpus($x, True) → Temperate($x, False)\nrule14: Dumpus($x, True) → Fruity($x, True)\nrule15: Dumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Temperate($x, True)\nrule17: Jompus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Tumpus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Dumpus($x, True) → Fruity($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Fae', True)\nDumpus('Fae', True)\nJompus('Fae', True)\nSour('Fae', True)\nDull('Fae', True)\nFruity('Fae', True)\nTemperate('Fae', True)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Fae', False)\nAccording to the implied fact: Impus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-263_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Every rompus is luminous. Rompuses are wumpuses. Each wumpus is floral. Each tumpus is not floral. Each wumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Luminous($x, True)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Floral($x, True)\nrule4: Tumpus($x, True) → Floral($x, False)\nrule5: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nFloral('Rex', True)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Rex', False)\nAccording to the implied fact: Floral('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-409_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Each zumpus is not nervous. Rompuses are not orange. Zumpuses are yumpuses. Each yumpus is bright. Yumpuses are wumpuses. Wumpuses are orange. Each wumpus is an impus. Every impus is fruity. Impuses are vumpuses. Each vumpus is not large. Vumpuses are numpuses. Each numpus is wooden. Every numpus is a jompus. Jompuses are not sour. Each jompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Nervous($x, False)\nrule2: Rompus($x, True) → Orange($x, False)\nrule3: Zumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Bright($x, True)\nrule5: Yumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Orange($x, True)\nrule7: Wumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Fruity($x, True)\nrule9: Impus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Large($x, False)\nrule11: Vumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Wooden($x, True)\nrule13: Numpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Sour($x, False)\nrule15: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Large($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Wooden($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Sour($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Sour('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nImpus('Polly', True)\nVumpus('Polly', True)\nNumpus('Polly', True)\nJompus('Polly', True)\nBright('Polly', True)\nOrange('Polly', True)\nFruity('Polly', True)\nLarge('Polly', False)\nWooden('Polly', True)\nSour('Polly', False)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Polly', True)\nAccording to the known fact: Yumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-1_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Every impus is not hot. Each impus is a zumpus. Every zumpus is dull. Each zumpus is a jompus. Each jompus is earthy. Jompuses are numpuses. Every numpus is sweet. Numpuses are rompuses. Rompuses are large. Rompuses are wumpuses. Each dumpus is not aggressive. Each wumpus is aggressive. Every wumpus is a vumpus. Each vumpus is not blue. Vumpuses are tumpuses. Tumpuses are transparent. Every tumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Hot($x, False)\nrule2: Impus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Dull($x, True)\nrule4: Zumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Earthy($x, True)\nrule6: Jompus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Sweet($x, True)\nrule8: Numpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Large($x, True)\nrule10: Rompus($x, True) → Wumpus($x, True)\nrule11: Dumpus($x, True) → Aggressive($x, False)\nrule12: Wumpus($x, True) → Aggressive($x, True)\nrule13: Wumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Blue($x, False)\nrule15: Vumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Transparent($x, True)\nrule17: Tumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Numpus($x, True) → Sweet($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Sweet('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Aggressive('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Blue($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Blue('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Polly', True)\nWumpus('Polly', True)\nVumpus('Polly', True)\nTumpus('Polly', True)\nSweet('Polly', True)\nLarge('Polly', True)\nAggressive('Polly', True)\nBlue('Polly', False)\nTransparent('Polly', True)\nYumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Polly', True)\nAccording to the implied fact: Tumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-132_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Every numpus is spicy. Numpuses are jompuses. Jompuses are opaque. Jompuses are dumpuses. Dumpuses are not floral. Each dumpus is a wumpus. Every wumpus is not blue. Each tumpus is blue. Wumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Spicy($x, True)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Opaque($x, True)\nrule4: Jompus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Floral($x, False)\nrule6: Dumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Blue($x, False)\nrule8: Tumpus($x, True) → Blue($x, True)\nrule9: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Floral('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Blue($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Blue('Polly', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nFloral('Polly', False)\nBlue('Polly', False)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Polly', True)\nAccording to the implied fact: Floral('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-482_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Wumpuses are not hot. Wumpuses are yumpuses. Yumpuses are not brown. Every yumpus is a numpus. Every numpus is small. Numpuses are impuses. Impuses are amenable. Each impus is a tumpus. Every tumpus is not dull. Tumpuses are zumpuses. Zumpuses are earthy. Each zumpus is a vumpus. Vumpuses are happy. Every rompus is not luminous. Vumpuses are dumpuses. Each dumpus is luminous. Dumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Hot($x, False)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Brown($x, False)\nrule4: Yumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Small($x, True)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Amenable($x, True)\nrule8: Impus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Dull($x, False)\nrule10: Tumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Earthy($x, True)\nrule12: Zumpus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Happy($x, True)\nrule14: Rompus($x, True) → Luminous($x, False)\nrule15: Vumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Luminous($x, True)\nrule17: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Luminous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nDumpus('Stella', True)\nEarthy('Stella', True)\nHappy('Stella', True)\nLuminous('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Stella', True)\nAccording to the implied fact: Luminous('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-499_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Each wumpus is not luminous. Wumpuses are rompuses. Rompuses are not amenable. Rompuses are impuses. Each vumpus is amenable.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Luminous($x, False)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Amenable($x, False)\nrule4: Rompus($x, True) → Impus($x, True)\nrule5: Vumpus($x, True) → Amenable($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Luminous($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Amenable($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nLuminous('Wren', False)\nAmenable('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', False)\nAccording to the implied fact: Impus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-365_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Rompuses are aggressive. Rompuses are tumpuses. Tumpuses are temperate. Every tumpus is a yumpus. Yumpuses are transparent. Yumpuses are vumpuses. Vumpuses are luminous. Wumpuses are not luminous. Every vumpus is an impus. Impuses are feisty. Impuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nAggressive($x, bool) ::: Is x aggressive?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Aggressive($x, True)\nrule2: Rompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Temperate($x, True)\nrule4: Tumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Transparent($x, True)\nrule6: Yumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Luminous($x, True)\nrule8: Wumpus($x, True) → Luminous($x, False)\nrule9: Vumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Feisty($x, True)\nrule11: Impus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Luminous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nImpus('Stella', True)\nTransparent('Stella', True)\nLuminous('Stella', True)\nFeisty('Stella', True)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Stella', False)\nAccording to the implied fact: Transparent('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-4_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Dumpuses are opaque. Every dumpus is a numpus. Numpuses are blue. Each tumpus is bright. Every numpus is a jompus. Jompuses are not bright. Jompuses are wumpuses. Each wumpus is not earthy. Each wumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, True)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Blue($x, True)\nrule4: Tumpus($x, True) → Bright($x, True)\nrule5: Numpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Bright($x, False)\nrule7: Jompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Earthy($x, False)\nrule9: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Jompus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Earthy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nBright('Stella', False)\nEarthy('Stella', False)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Stella', True)\nAccording to the implied fact: Wumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-421_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Every tumpus is shy. Tumpuses are zumpuses. Zumpuses are not large. Zumpuses are jompuses. Each dumpus is not shy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Shy($x, True)\nrule2: Tumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Large($x, False)\nrule4: Zumpus($x, True) → Jompus($x, True)\nrule5: Dumpus($x, True) → Shy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Large($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nShy('Polly', True)\nLarge('Polly', False)\nJompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Polly', False)\nAccording to the implied fact: Jompus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-214_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Each zumpus is wooden. Zumpuses are vumpuses. Vumpuses are blue. Vumpuses are yumpuses. Every yumpus is not sweet. Yumpuses are impuses. Impuses are happy. Every impus is a tumpus. Each tumpus is not opaque. Each tumpus is a wumpus. Dumpuses are opaque. Wumpuses are earthy. Every wumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Wooden($x, True)\nrule2: Zumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Blue($x, True)\nrule4: Vumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Sweet($x, False)\nrule6: Yumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Happy($x, True)\nrule8: Impus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Opaque($x, False)\nrule10: Tumpus($x, True) → Wumpus($x, True)\nrule11: Dumpus($x, True) → Opaque($x, True)\nrule12: Wumpus($x, True) → Earthy($x, True)\nrule13: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Yumpus($x, True) → Sweet($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Sweet('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Wumpus($x, True) → Earthy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nTumpus('Sally', True)\nWumpus('Sally', True)\nSweet('Sally', False)\nHappy('Sally', True)\nOpaque('Sally', False)\nEarthy('Sally', True)\nJompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sally', False)\nAccording to the implied fact: Wumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-168_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Impuses are bright. Every impus is a rompus. Every rompus is not luminous. Every rompus is a zumpus. Every jompus is not orange. Each zumpus is small. Zumpuses are tumpuses. Every tumpus is not hot. Tumpuses are vumpuses. Vumpuses are orange. Vumpuses are dumpuses. Every dumpus is nervous. Each dumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Bright($x, True)\nrule2: Impus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Luminous($x, False)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Jompus($x, True) → Orange($x, False)\nrule6: Zumpus($x, True) → Small($x, True)\nrule7: Zumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Hot($x, False)\nrule9: Tumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Orange($x, True)\nrule11: Vumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Nervous($x, True)\nrule13: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Hot($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Orange($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Orange('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nVumpus('Wren', True)\nDumpus('Wren', True)\nSmall('Wren', True)\nHot('Wren', False)\nOrange('Wren', True)\nNervous('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Wren', True)\nAccording to the implied fact: Vumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-13_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Each numpus is opaque. Every numpus is a dumpus. Dumpuses are not large. Dumpuses are jompuses. Jompuses are not spicy. Jompuses are yumpuses. Impuses are spicy. Yumpuses are floral. Yumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Opaque($x, True)\nrule2: Numpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Large($x, False)\nrule4: Dumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Spicy($x, False)\nrule6: Jompus($x, True) → Yumpus($x, True)\nrule7: Impus($x, True) → Spicy($x, True)\nrule8: Yumpus($x, True) → Floral($x, True)\nrule9: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Spicy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Spicy('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Yumpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nSpicy('Fae', False)\nFloral('Fae', True)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Fae', False)\nAccording to the implied fact: Spicy('Fae', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-34_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Yumpuses are temperate. Yumpuses are tumpuses. Tumpuses are dull. Each tumpus is a dumpus. Dumpuses are wooden. Dumpuses are jompuses. Each jompus is transparent. Jompuses are vumpuses. Vumpuses are not shy. Vumpuses are numpuses. Numpuses are not sweet. Every numpus is an impus. Each zumpus is sweet.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Temperate($x, True)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Dull($x, True)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Wooden($x, True)\nrule6: Dumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Transparent($x, True)\nrule8: Jompus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Shy($x, False)\nrule10: Vumpus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Sweet($x, False)\nrule12: Numpus($x, True) → Impus($x, True)\nrule13: Zumpus($x, True) → Sweet($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Vumpus($x, True) → Shy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Sweet($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nShy('Alex', False)\nSweet('Alex', False)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Alex', True)\nAccording to the implied fact: Impus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-41_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Zumpuses are large. Zumpuses are yumpuses. Every yumpus is amenable. Every jompus is feisty. Each yumpus is a dumpus. Dumpuses are not floral. Dumpuses are rompuses. Rompuses are not feisty. Each rompus is a numpus. Numpuses are temperate. Each numpus is a tumpus. Every tumpus is sour. Each tumpus is a wumpus. Wumpuses are wooden. Wumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Large($x, True)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Amenable($x, True)\nrule4: Jompus($x, True) → Feisty($x, True)\nrule5: Yumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Floral($x, False)\nrule7: Dumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Feisty($x, False)\nrule9: Rompus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Temperate($x, True)\nrule11: Numpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Sour($x, True)\nrule13: Tumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Wooden($x, True)\nrule15: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Amenable($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Feisty($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Feisty('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nDumpus('Sally', True)\nRompus('Sally', True)\nNumpus('Sally', True)\nTumpus('Sally', True)\nWumpus('Sally', True)\nLarge('Sally', True)\nAmenable('Sally', True)\nFloral('Sally', False)\nFeisty('Sally', False)\nTemperate('Sally', True)\nSour('Sally', True)\nWooden('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Sally', False)\nAccording to the implied fact: Floral('Sally', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-328_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Dumpuses are dull. Each dumpus is a wumpus. Every wumpus is not opaque. Wumpuses are numpuses. Numpuses are spicy. Every numpus is a tumpus. Each tumpus is not feisty. Vumpuses are not floral. Tumpuses are jompuses. Jompuses are floral. Every jompus is a rompus. Rompuses are large. Each rompus is a zumpus. Zumpuses are luminous. Every zumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Dull($x, True)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Opaque($x, False)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Spicy($x, True)\nrule6: Numpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Feisty($x, False)\nrule8: Vumpus($x, True) → Floral($x, False)\nrule9: Tumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Floral($x, True)\nrule11: Jompus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Large($x, True)\nrule13: Rompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Luminous($x, True)\nrule15: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Tumpus($x, True) → Feisty($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nRompus('Sam', True)\nZumpus('Sam', True)\nFeisty('Sam', False)\nFloral('Sam', True)\nLarge('Sam', True)\nLuminous('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Sam', False)\nAccording to the implied fact: Floral('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-454_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Each zumpus is nervous. Zumpuses are vumpuses. Each vumpus is aggressive. Every yumpus is not small. Each vumpus is a tumpus. Tumpuses are small. Tumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Nervous($x, True)\nrule2: Zumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Aggressive($x, True)\nrule4: Yumpus($x, True) → Small($x, False)\nrule5: Vumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Small($x, True)\nrule7: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nVumpus('Rex', True)\nTumpus('Rex', True)\nNervous('Rex', True)\nAggressive('Rex', True)\nSmall('Rex', True)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Rex', False)\nAccording to the implied fact: Tumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-306_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Every rompus is not brown. Rompuses are dumpuses. Every dumpus is not temperate. Each dumpus is a wumpus. Wumpuses are floral. Each wumpus is a vumpus. Vumpuses are small. Vumpuses are zumpuses. Zumpuses are dull. Each zumpus is a tumpus. Each tumpus is happy. Each tumpus is a numpus. Numpuses are opaque. Numpuses are jompuses. Every jompus is not luminous. Each yumpus is not opaque. Every jompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Brown($x, False)\nrule2: Rompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Temperate($x, False)\nrule4: Dumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Floral($x, True)\nrule6: Wumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Small($x, True)\nrule8: Vumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Dull($x, True)\nrule10: Zumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Happy($x, True)\nrule12: Tumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Opaque($x, True)\nrule14: Numpus($x, True) → Jompus($x, True)\nrule15: Jompus($x, True) → Luminous($x, False)\nrule16: Yumpus($x, True) → Opaque($x, False)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Floral($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Luminous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nZumpus('Sally', True)\nTumpus('Sally', True)\nNumpus('Sally', True)\nJompus('Sally', True)\nFloral('Sally', True)\nSmall('Sally', True)\nDull('Sally', True)\nHappy('Sally', True)\nOpaque('Sally', True)\nLuminous('Sally', False)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sally', False)\nAccording to the implied fact: Jompus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-187_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Impuses are hot. Vumpuses are wooden. Vumpuses are yumpuses. Every yumpus is kind. Yumpuses are wumpuses. Wumpuses are not opaque. Wumpuses are tumpuses. Each tumpus is not small. Tumpuses are zumpuses. Zumpuses are not hot. Each zumpus is a jompus. Every jompus is red. Every jompus is a rompus. Every rompus is spicy. Rompuses are dumpuses. Each dumpus is floral. Every dumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Hot($x, True)\nrule2: Vumpus($x, True) → Wooden($x, True)\nrule3: Vumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Kind($x, True)\nrule5: Yumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Opaque($x, False)\nrule7: Wumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Small($x, False)\nrule9: Tumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Hot($x, False)\nrule11: Zumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Red($x, True)\nrule13: Jompus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Spicy($x, True)\nrule15: Rompus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Floral($x, True)\nrule17: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Yumpus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Hot($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Red($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Red('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Max', True)\nTumpus('Max', True)\nZumpus('Max', True)\nJompus('Max', True)\nRompus('Max', True)\nDumpus('Max', True)\nKind('Max', True)\nOpaque('Max', False)\nSmall('Max', False)\nHot('Max', False)\nRed('Max', True)\nSpicy('Max', True)\nFloral('Max', True)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Max', False)\nAccording to the implied fact: Spicy('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-168_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a vumpus. Each yumpus is dull. Yumpuses are vumpuses. Every vumpus is transparent. Vumpuses are tumpuses. Every tumpus is fruity. Every tumpus is a dumpus. Dumpuses are not blue. Dumpuses are numpuses. Every numpus is not sweet. Numpuses are zumpuses. Every zumpus is small. Zumpuses are rompuses. Every rompus is not temperate. Rompuses are wumpuses. Every wumpus is wooden. Every impus is sweet. Every wumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nVumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Dull($x, True)\nrule2: Yumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Transparent($x, True)\nrule4: Vumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Fruity($x, True)\nrule6: Tumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Blue($x, False)\nrule8: Dumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Sweet($x, False)\nrule10: Numpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Small($x, True)\nrule12: Zumpus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Temperate($x, False)\nrule14: Rompus($x, True) → Wumpus($x, True)\nrule15: Wumpus($x, True) → Wooden($x, True)\nrule16: Impus($x, True) → Sweet($x, True)\nrule17: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Blue($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Sweet($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Sweet('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Temperate($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Rex', True)\nDumpus('Rex', True)\nNumpus('Rex', True)\nZumpus('Rex', True)\nRompus('Rex', True)\nWumpus('Rex', True)\nTransparent('Rex', True)\nFruity('Rex', True)\nBlue('Rex', False)\nSweet('Rex', False)\nSmall('Rex', True)\nTemperate('Rex', False)\nWooden('Rex', True)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Rex', True)\nAccording to the implied fact: Blue('Rex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-139_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a rompus. Every wumpus is liquid. Tumpuses are floral. Every tumpus is an impus. Every impus is not dull. Every impus is a rompus. Rompuses are kind. Each rompus is a jompus. Jompuses are not liquid. Each jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Liquid($x, True)\nrule2: Tumpus($x, True) → Floral($x, True)\nrule3: Tumpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Dull($x, False)\nrule5: Impus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Kind($x, True)\nrule7: Rompus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Liquid($x, False)\nrule9: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Rompus($x, True) → Kind($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Kind('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Liquid($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nKind('Sally', True)\nLiquid('Sally', False)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sally', True)\nAccording to the implied fact: Jompus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-94_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Every dumpus is feisty. Every dumpus is a rompus. Rompuses are cold. Rompuses are tumpuses. Tumpuses are liquid. Each yumpus is not cold. Each tumpus is a jompus. Jompuses are sour. Every jompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Feisty($x, True)\nrule2: Dumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Cold($x, True)\nrule4: Rompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Liquid($x, True)\nrule6: Yumpus($x, True) → Cold($x, False)\nrule7: Tumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Sour($x, True)\nrule9: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Feisty($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Feisty('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nTumpus('Sally', True)\nJompus('Sally', True)\nFeisty('Sally', True)\nCold('Sally', True)\nLiquid('Sally', True)\nSour('Sally', True)\nNumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sally', True)\nAccording to the implied fact: Tumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-445_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Each yumpus is liquid. Yumpuses are rompuses. Rompuses are shy. Every rompus is a zumpus. Zumpuses are not small. Each jompus is not shy. Zumpuses are dumpuses. Every dumpus is not cold. Dumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Liquid($x, True)\nrule2: Yumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Shy($x, True)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Small($x, False)\nrule6: Jompus($x, True) → Shy($x, False)\nrule7: Zumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Cold($x, False)\nrule9: Dumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Shy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Cold($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nZumpus('Max', True)\nDumpus('Max', True)\nLiquid('Max', True)\nShy('Max', True)\nSmall('Max', False)\nCold('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Max', False)\nAccording to the implied fact: Cold('Max', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-132_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Every yumpus is fruity. Each dumpus is happy. Every dumpus is a wumpus. Wumpuses are transparent. Every wumpus is a zumpus. Each zumpus is not fruity. Zumpuses are rompuses. Rompuses are dull. Each rompus is a numpus. Numpuses are large. Every numpus is a tumpus. Tumpuses are cold. Each tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Fruity($x, True)\nrule2: Dumpus($x, True) → Happy($x, True)\nrule3: Dumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Transparent($x, True)\nrule5: Wumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Fruity($x, False)\nrule7: Zumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Dull($x, True)\nrule9: Rompus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Large($x, True)\nrule11: Numpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Cold($x, True)\nrule13: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Cold($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nRompus('Fae', True)\nNumpus('Fae', True)\nTumpus('Fae', True)\nTransparent('Fae', True)\nFruity('Fae', False)\nDull('Fae', True)\nLarge('Fae', True)\nCold('Fae', True)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Fae', True)\nAccording to the implied fact: Transparent('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-429_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Impuses are shy. Every impus is a dumpus. Each dumpus is transparent. Dumpuses are tumpuses. Tumpuses are floral. Tumpuses are yumpuses. Yumpuses are temperate. Each yumpus is a wumpus. Each wumpus is dull. Wumpuses are jompuses. Every numpus is not temperate. Jompuses are large. Jompuses are rompuses. Every rompus is not amenable. Rompuses are zumpuses. Each zumpus is bitter. Zumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Shy($x, True)\nrule2: Impus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Transparent($x, True)\nrule4: Dumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Floral($x, True)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Temperate($x, True)\nrule8: Yumpus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Dull($x, True)\nrule10: Wumpus($x, True) → Jompus($x, True)\nrule11: Numpus($x, True) → Temperate($x, False)\nrule12: Jompus($x, True) → Large($x, True)\nrule13: Jompus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Amenable($x, False)\nrule15: Rompus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Bitter($x, True)\nrule17: Zumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Jompus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Amenable($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Amenable('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nYumpus('Fae', True)\nWumpus('Fae', True)\nJompus('Fae', True)\nRompus('Fae', True)\nZumpus('Fae', True)\nTransparent('Fae', True)\nFloral('Fae', True)\nTemperate('Fae', True)\nDull('Fae', True)\nLarge('Fae', True)\nAmenable('Fae', False)\nBitter('Fae', True)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Fae', False)\nAccording to the implied fact: Large('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-373_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Each zumpus is not transparent. Each vumpus is spicy. Vumpuses are jompuses. Every jompus is dull. Every jompus is a numpus. Each numpus is not earthy. Numpuses are impuses. Impuses are transparent. Impuses are wumpuses. Each wumpus is brown. Wumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, False)\nrule2: Vumpus($x, True) → Spicy($x, True)\nrule3: Vumpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Dull($x, True)\nrule5: Jompus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Earthy($x, False)\nrule7: Numpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Transparent($x, True)\nrule9: Impus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Brown($x, True)\nrule11: Wumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Jompus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Sally', True)\nImpus('Sally', True)\nWumpus('Sally', True)\nDull('Sally', True)\nEarthy('Sally', False)\nTransparent('Sally', True)\nBrown('Sally', True)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Sally', True)\nAccording to the implied fact: Dull('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-368_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Yumpuses are wooden. Every yumpus is a vumpus. Every vumpus is not bright. Vumpuses are zumpuses. Each zumpus is large. Every zumpus is a rompus. Rompuses are hot. Rompuses are jompuses. Every jompus is amenable. Jompuses are wumpuses. Wumpuses are nervous. Every wumpus is an impus. Every dumpus is not hot. Every impus is fruity. Impuses are numpuses. Each numpus is not transparent. Each numpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Wooden($x, True)\nrule2: Yumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Bright($x, False)\nrule4: Vumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Large($x, True)\nrule6: Zumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Hot($x, True)\nrule8: Rompus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Amenable($x, True)\nrule10: Jompus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Nervous($x, True)\nrule12: Wumpus($x, True) → Impus($x, True)\nrule13: Dumpus($x, True) → Hot($x, False)\nrule14: Impus($x, True) → Fruity($x, True)\nrule15: Impus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Transparent($x, False)\nrule17: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Bright($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Amenable($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Impus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Transparent($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nRompus('Sam', True)\nJompus('Sam', True)\nWumpus('Sam', True)\nImpus('Sam', True)\nNumpus('Sam', True)\nBright('Sam', False)\nLarge('Sam', True)\nHot('Sam', True)\nAmenable('Sam', True)\nNervous('Sam', True)\nFruity('Sam', True)\nTransparent('Sam', False)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sam', False)\nAccording to the implied fact: Zumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-25_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a jompus. Dumpuses are not bitter. Every dumpus is a jompus. Jompuses are not shy. Jompuses are yumpuses. Every yumpus is opaque. Numpuses are not opaque. Each yumpus is a rompus. Every rompus is not blue. Every rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Bitter($x, False)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Shy($x, False)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Opaque($x, True)\nrule6: Numpus($x, True) → Opaque($x, False)\nrule7: Yumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Blue($x, False)\nrule9: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Shy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Blue($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nRompus('Alex', True)\nShy('Alex', False)\nOpaque('Alex', True)\nBlue('Alex', False)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Alex', True)\nAccording to the implied fact: Rompus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-383_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Wumpuses are luminous. Every wumpus is a vumpus. Vumpuses are not amenable. Every vumpus is a numpus. Numpuses are not feisty. Every numpus is an impus. Every impus is not cold. Each rompus is amenable. Every impus is a jompus. Every jompus is large. Each jompus is a yumpus. Yumpuses are transparent. Yumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Luminous($x, True)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Amenable($x, False)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Feisty($x, False)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Cold($x, False)\nrule8: Rompus($x, True) → Amenable($x, True)\nrule9: Impus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Large($x, True)\nrule11: Jompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Transparent($x, True)\nrule13: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Amenable($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Feisty($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Cold($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Impus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Polly', True)\nImpus('Polly', True)\nJompus('Polly', True)\nYumpus('Polly', True)\nAmenable('Polly', False)\nFeisty('Polly', False)\nCold('Polly', False)\nLarge('Polly', True)\nTransparent('Polly', True)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Polly', True)\nAccording to the implied fact: Large('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-142_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Each numpus is not shy. Numpuses are rompuses. Rompuses are transparent. Every rompus is an impus. Each impus is not floral. Impuses are yumpuses. Each yumpus is not wooden. Yumpuses are tumpuses. Zumpuses are floral. Tumpuses are bitter. Every tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Shy($x, False)\nrule2: Numpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Transparent($x, True)\nrule4: Rompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Floral($x, False)\nrule6: Impus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Wooden($x, False)\nrule8: Yumpus($x, True) → Tumpus($x, True)\nrule9: Zumpus($x, True) → Floral($x, True)\nrule10: Tumpus($x, True) → Bitter($x, True)\nrule11: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Shy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Floral($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Wooden($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Tumpus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nImpus('Fae', True)\nYumpus('Fae', True)\nTumpus('Fae', True)\nShy('Fae', False)\nTransparent('Fae', True)\nFloral('Fae', False)\nWooden('Fae', False)\nBitter('Fae', True)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Fae', True)\nAccording to the implied fact: Rompus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-382_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Every dumpus is not mean. Every jompus is not sweet. Each dumpus is a wumpus. Wumpuses are not dull. Each wumpus is a rompus. Rompuses are sweet. Rompuses are impuses. Every impus is red. Each impus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Mean($x, False)\nrule2: Jompus($x, True) → Sweet($x, False)\nrule3: Dumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Dull($x, False)\nrule5: Wumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Sweet($x, True)\nrule7: Rompus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Red($x, True)\nrule9: Impus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Mean($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Mean('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nRompus('Sam', True)\nImpus('Sam', True)\nMean('Sam', False)\nDull('Sam', False)\nSweet('Sam', True)\nRed('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', False)\nAccording to the implied fact: Wumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-332_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a tumpus. Dumpuses are not bitter. Dumpuses are tumpuses. Every tumpus is fruity. Every tumpus is a jompus. Jompuses are metallic. Each jompus is a wumpus. Every wumpus is bright. Wumpuses are zumpuses. Every rompus is angry. Zumpuses are shy. Zumpuses are numpuses. Each numpus is not angry. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAngry($x, bool) ::: Is x angry?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Bitter($x, False)\nrule2: Dumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Fruity($x, True)\nrule4: Tumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Metallic($x, True)\nrule6: Jompus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Bright($x, True)\nrule8: Wumpus($x, True) → Zumpus($x, True)\nrule9: Rompus($x, True) → Angry($x, True)\nrule10: Zumpus($x, True) → Shy($x, True)\nrule11: Zumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Angry($x, False)\nrule13: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Zumpus($x, True) → Shy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Angry($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nWumpus('Wren', True)\nZumpus('Wren', True)\nNumpus('Wren', True)\nFruity('Wren', True)\nMetallic('Wren', True)\nBright('Wren', True)\nShy('Wren', True)\nAngry('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Wren', False)\nAccording to the implied fact: Metallic('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-128_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Each zumpus is not aggressive. Zumpuses are wumpuses. Wumpuses are dull. Wumpuses are numpuses. Every yumpus is aggressive.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Aggressive($x, False)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Dull($x, True)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Yumpus($x, True) → Aggressive($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Aggressive($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nAggressive('Wren', False)\nDull('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAggressive('Wren', True)\nAccording to the implied fact: Aggressive('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-220_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Numpuses are brown. Each numpus is a tumpus. Rompuses are not brown.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Brown($x, True)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Rompus($x, True) → Brown($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Brown($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nBrown('Sally', True)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sally', False)\nAccording to the known fact: Numpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-449_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a dumpus. Each yumpus is spicy. Every yumpus is a dumpus. Dumpuses are not hot. Dumpuses are impuses. Impuses are blue. Each impus is a tumpus. Tumpuses are not wooden. Tumpuses are wumpuses. Each zumpus is hot. Wumpuses are earthy. Wumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nDumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Spicy($x, True)\nrule2: Yumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Hot($x, False)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Blue($x, True)\nrule6: Impus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Wooden($x, False)\nrule8: Tumpus($x, True) → Wumpus($x, True)\nrule9: Zumpus($x, True) → Hot($x, True)\nrule10: Wumpus($x, True) → Earthy($x, True)\nrule11: Wumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Hot($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Wooden($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Wumpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Alex', True)\nTumpus('Alex', True)\nWumpus('Alex', True)\nHot('Alex', False)\nBlue('Alex', True)\nWooden('Alex', False)\nEarthy('Alex', True)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is hot.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHot('Alex', True)\nAccording to the implied fact: Hot('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-458_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Every wumpus is earthy. Every wumpus is a jompus. Each jompus is nervous. Each jompus is a vumpus. Every vumpus is transparent. Vumpuses are zumpuses. Each zumpus is not large. Each yumpus is not nervous. Each zumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Earthy($x, True)\nrule2: Wumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Nervous($x, True)\nrule4: Jompus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Transparent($x, True)\nrule6: Vumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Large($x, False)\nrule8: Yumpus($x, True) → Nervous($x, False)\nrule9: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nVumpus('Rex', True)\nZumpus('Rex', True)\nEarthy('Rex', True)\nNervous('Rex', True)\nTransparent('Rex', True)\nLarge('Rex', False)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Rex', False)\nAccording to the implied fact: Rompus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-281_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Every impus is large. Each impus is a tumpus. Each tumpus is not nervous. Tumpuses are jompuses. Jompuses are aggressive. Every vumpus is not dull. Each jompus is a numpus. Every numpus is dull. Numpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Large($x, True)\nrule2: Impus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Nervous($x, False)\nrule4: Tumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Aggressive($x, True)\nrule6: Vumpus($x, True) → Dull($x, False)\nrule7: Jompus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Dull($x, True)\nrule9: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Nervous($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nJompus('Wren', True)\nNumpus('Wren', True)\nLarge('Wren', True)\nNervous('Wren', False)\nAggressive('Wren', True)\nDull('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Wren', False)\nAccording to the implied fact: Nervous('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-381_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a wumpus. Zumpuses are cold. Wumpuses are not cold. Wumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nWumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Cold($x, True)\nrule2: Wumpus($x, True) → Cold($x, False)\nrule3: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Wumpus($x, True) → Cold($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nCold('Polly', False)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Polly', False)\nAccording to the implied fact: Tumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-84_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Every tumpus is metallic. Each tumpus is a jompus. Each jompus is sweet. Every jompus is a vumpus. Each vumpus is transparent. Vumpuses are rompuses. Rompuses are dull. Wumpuses are not dull. Each rompus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Metallic($x, True)\nrule2: Tumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Sweet($x, True)\nrule4: Jompus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Transparent($x, True)\nrule6: Vumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Dull($x, True)\nrule8: Wumpus($x, True) → Dull($x, False)\nrule9: Rompus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Sweet($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sweet('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nVumpus('Rex', True)\nRompus('Rex', True)\nSweet('Rex', True)\nTransparent('Rex', True)\nDull('Rex', True)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', True)\nAccording to the implied fact: Zumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-359_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Every zumpus is not opaque. Each zumpus is a wumpus. Wumpuses are not earthy. Each wumpus is a jompus. Jompuses are small. Every rompus is earthy. Each jompus is a numpus. Numpuses are temperate. Each numpus is a vumpus. Vumpuses are mean. Vumpuses are dumpuses. Dumpuses are not nervous. Dumpuses are tumpuses. Every tumpus is bright. Tumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Opaque($x, False)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Earthy($x, False)\nrule4: Wumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Small($x, True)\nrule6: Rompus($x, True) → Earthy($x, True)\nrule7: Jompus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Temperate($x, True)\nrule9: Numpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Mean($x, True)\nrule11: Vumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Nervous($x, False)\nrule13: Dumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Bright($x, True)\nrule15: Tumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Opaque($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Mean($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Mean('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Nervous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nJompus('Sally', True)\nNumpus('Sally', True)\nVumpus('Sally', True)\nDumpus('Sally', True)\nTumpus('Sally', True)\nOpaque('Sally', False)\nEarthy('Sally', False)\nSmall('Sally', True)\nTemperate('Sally', True)\nMean('Sally', True)\nNervous('Sally', False)\nBright('Sally', True)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Sally', True)\nAccording to the implied fact: Bright('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-298_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Each rompus is kind. Rompuses are yumpuses. Yumpuses are not happy. Every yumpus is a wumpus. Wumpuses are not earthy. Every wumpus is an impus. Impuses are opaque. Each impus is a jompus. Jompuses are not bright. Every jompus is a zumpus. Each tumpus is bright. Zumpuses are hot. Zumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Kind($x, True)\nrule2: Rompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Happy($x, False)\nrule4: Yumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Earthy($x, False)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Opaque($x, True)\nrule8: Impus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Bright($x, False)\nrule10: Jompus($x, True) → Zumpus($x, True)\nrule11: Tumpus($x, True) → Bright($x, True)\nrule12: Zumpus($x, True) → Hot($x, True)\nrule13: Zumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Earthy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nJompus('Wren', True)\nZumpus('Wren', True)\nEarthy('Wren', False)\nOpaque('Wren', True)\nBright('Wren', False)\nHot('Wren', True)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Wren', True)\nAccording to the implied fact: Vumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-264_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Dumpuses are wooden. Every dumpus is a jompus. Jompuses are not bitter. Jompuses are vumpuses. Every vumpus is not angry. Every vumpus is a zumpus. Zumpuses are small. Zumpuses are yumpuses. Every numpus is bitter. Each yumpus is bright. Each yumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Wooden($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Bitter($x, False)\nrule4: Jompus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Angry($x, False)\nrule6: Vumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Small($x, True)\nrule8: Zumpus($x, True) → Yumpus($x, True)\nrule9: Numpus($x, True) → Bitter($x, True)\nrule10: Yumpus($x, True) → Bright($x, True)\nrule11: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Angry($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nVumpus('Sam', True)\nZumpus('Sam', True)\nYumpus('Sam', True)\nWooden('Sam', True)\nBitter('Sam', False)\nAngry('Sam', False)\nSmall('Sam', True)\nBright('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sam', False)\nAccording to the implied fact: Impus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-430_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Every wumpus is shy. Wumpuses are vumpuses. Every vumpus is not transparent. Vumpuses are zumpuses. Each zumpus is not metallic. Every zumpus is a dumpus. Dumpuses are not large. Every dumpus is a yumpus. Every yumpus is earthy. Every jompus is metallic. Every yumpus is a numpus. Every numpus is orange. Each numpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Shy($x, True)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Transparent($x, False)\nrule4: Vumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Metallic($x, False)\nrule6: Zumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Large($x, False)\nrule8: Dumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Earthy($x, True)\nrule10: Jompus($x, True) → Metallic($x, True)\nrule11: Yumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Orange($x, True)\nrule13: Numpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Shy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Metallic($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Metallic('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Orange($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Fae', True)\nZumpus('Fae', True)\nDumpus('Fae', True)\nYumpus('Fae', True)\nNumpus('Fae', True)\nShy('Fae', True)\nTransparent('Fae', False)\nMetallic('Fae', False)\nLarge('Fae', False)\nEarthy('Fae', True)\nOrange('Fae', True)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Fae', False)\nAccording to the implied fact: Numpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-35_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Each zumpus is hot. Zumpuses are yumpuses. Every yumpus is transparent. Every tumpus is not hot. Each yumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Hot($x, True)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Transparent($x, True)\nrule4: Tumpus($x, True) → Hot($x, False)\nrule5: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nHot('Sally', True)\nTransparent('Sally', True)\nVumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sally', False)\nAccording to the known fact: Zumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-82_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Every dumpus is not blue. Rompuses are floral. Every rompus is a vumpus. Vumpuses are dull. Each vumpus is a wumpus. Wumpuses are luminous. Every wumpus is a jompus. Jompuses are not angry. Every jompus is a tumpus. Each tumpus is blue. Tumpuses are zumpuses. Every zumpus is hot. Each zumpus is an impus. Impuses are opaque. Impuses are numpuses. Numpuses are spicy. Every numpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Blue($x, False)\nrule2: Rompus($x, True) → Floral($x, True)\nrule3: Rompus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Dull($x, True)\nrule5: Vumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Luminous($x, True)\nrule7: Wumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Angry($x, False)\nrule9: Jompus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Blue($x, True)\nrule11: Tumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Hot($x, True)\nrule13: Zumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Opaque($x, True)\nrule15: Impus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Spicy($x, True)\nrule17: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Max', True)\nImpus('Max', True)\nNumpus('Max', True)\nBlue('Max', True)\nHot('Max', True)\nOpaque('Max', True)\nSpicy('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Max', True)\nAccording to the implied fact: Numpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-463_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Every yumpus is earthy. Yumpuses are vumpuses. Vumpuses are sweet. Each vumpus is a dumpus. Dumpuses are orange. Each dumpus is a zumpus. Zumpuses are not large. Zumpuses are impuses. Rompuses are not earthy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Earthy($x, True)\nrule2: Yumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Sweet($x, True)\nrule4: Vumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Orange($x, True)\nrule6: Dumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Large($x, False)\nrule8: Zumpus($x, True) → Impus($x, True)\nrule9: Rompus($x, True) → Earthy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Sweet($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nVumpus('Alex', True)\nDumpus('Alex', True)\nZumpus('Alex', True)\nEarthy('Alex', True)\nSweet('Alex', True)\nOrange('Alex', True)\nLarge('Alex', False)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is sweet.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSweet('Alex', True)\nAccording to the implied fact: Sweet('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-216_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Each zumpus is sweet. Each zumpus is a dumpus. Dumpuses are earthy. Every impus is not large. Dumpuses are numpuses. Each numpus is feisty. Numpuses are wumpuses. Wumpuses are cold. Each wumpus is a tumpus. Tumpuses are large. Every tumpus is a yumpus. Yumpuses are not transparent. Yumpuses are vumpuses. Vumpuses are not orange. Each vumpus is a jompus. Every jompus is kind. Each jompus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Sweet($x, True)\nrule2: Zumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Earthy($x, True)\nrule4: Impus($x, True) → Large($x, False)\nrule5: Dumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Feisty($x, True)\nrule7: Numpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Cold($x, True)\nrule9: Wumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Large($x, True)\nrule11: Tumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Transparent($x, False)\nrule13: Yumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Orange($x, False)\nrule15: Vumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Kind($x, True)\nrule17: Jompus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Orange($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Kind($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nTumpus('Polly', True)\nYumpus('Polly', True)\nVumpus('Polly', True)\nJompus('Polly', True)\nFeisty('Polly', True)\nCold('Polly', True)\nLarge('Polly', True)\nTransparent('Polly', False)\nOrange('Polly', False)\nKind('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Polly', False)\nAccording to the implied fact: Orange('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-183_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Every impus is not red. Every rompus is not wooden. Impuses are tumpuses. Tumpuses are earthy. Each tumpus is a zumpus. Each zumpus is temperate. Every zumpus is a vumpus. Every vumpus is transparent. Each vumpus is a yumpus. Every yumpus is angry. Every yumpus is a dumpus. Each dumpus is not bitter. Every dumpus is a wumpus. Wumpuses are feisty. Each wumpus is a numpus. Numpuses are wooden. Each numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Red($x, False)\nrule2: Rompus($x, True) → Wooden($x, False)\nrule3: Impus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Earthy($x, True)\nrule5: Tumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Temperate($x, True)\nrule7: Zumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Transparent($x, True)\nrule9: Vumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Angry($x, True)\nrule11: Yumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Bitter($x, False)\nrule13: Dumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Feisty($x, True)\nrule15: Wumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Wooden($x, True)\nrule17: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nFeisty('Max', True)\nWooden('Max', True)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Max', False)\nAccording to the implied fact: Feisty('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-193_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Jompuses are large. Every jompus is a rompus. Each rompus is not cold. Each rompus is a wumpus. Impuses are not sweet. Wumpuses are shy. Wumpuses are zumpuses. Each zumpus is not bright. Every zumpus is a vumpus. Vumpuses are sweet. Vumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Large($x, True)\nrule2: Jompus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Cold($x, False)\nrule4: Rompus($x, True) → Wumpus($x, True)\nrule5: Impus($x, True) → Sweet($x, False)\nrule6: Wumpus($x, True) → Shy($x, True)\nrule7: Wumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Bright($x, False)\nrule9: Zumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Sweet($x, True)\nrule11: Vumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Cold($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Wumpus($x, True) → Shy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Sweet($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nWumpus('Max', True)\nZumpus('Max', True)\nVumpus('Max', True)\nLarge('Max', True)\nCold('Max', False)\nShy('Max', True)\nBright('Max', False)\nSweet('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Max', True)\nAccording to the known fact: Jompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-125_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Tumpuses are not bright. Tumpuses are impuses. Impuses are floral. Every impus is a numpus. Every numpus is large. Each numpus is a vumpus. Vumpuses are opaque. Vumpuses are jompuses. Every jompus is sweet. Every jompus is a zumpus. Each zumpus is not blue. Zumpuses are wumpuses. Every wumpus is not nervous. Dumpuses are blue. Wumpuses are yumpuses. Yumpuses are kind. Every yumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bright($x, False)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Floral($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Large($x, True)\nrule6: Numpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Opaque($x, True)\nrule8: Vumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Sweet($x, True)\nrule10: Jompus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Blue($x, False)\nrule12: Zumpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Nervous($x, False)\nrule14: Dumpus($x, True) → Blue($x, True)\nrule15: Wumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Kind($x, True)\nrule17: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Jompus($x, True) → Sweet($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Sweet('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Blue($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Blue('Polly', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Nervous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Nervous('Polly', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Kind($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nWumpus('Polly', True)\nYumpus('Polly', True)\nSweet('Polly', True)\nBlue('Polly', False)\nNervous('Polly', False)\nKind('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Polly', False)\nAccording to the implied fact: Yumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-346_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Tumpuses are shy. Tumpuses are wumpuses. Wumpuses are liquid. Wumpuses are dumpuses. Every dumpus is not blue. Each dumpus is a numpus. Rompuses are blue.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Shy($x, True)\nrule2: Tumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Liquid($x, True)\nrule4: Wumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Blue($x, False)\nrule6: Dumpus($x, True) → Numpus($x, True)\nrule7: Rompus($x, True) → Blue($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Blue($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nDumpus('Rex', True)\nShy('Rex', True)\nLiquid('Rex', True)\nBlue('Rex', False)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Rex', False)\nAccording to the implied fact: Wumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-189_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Each vumpus is dull. Vumpuses are rompuses. Every rompus is cold. Rompuses are yumpuses. Each yumpus is feisty. Yumpuses are tumpuses. Every tumpus is liquid. Tumpuses are dumpuses. Dumpuses are opaque. Every dumpus is a wumpus. Each wumpus is not mean. Each wumpus is a zumpus. Zumpuses are large. Each zumpus is a numpus. Numpuses are red. Every numpus is an impus. Jompuses are mean.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nImpus($x, bool) ::: Does x belong to Impuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Dull($x, True)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Cold($x, True)\nrule4: Rompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Feisty($x, True)\nrule6: Yumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Liquid($x, True)\nrule8: Tumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Opaque($x, True)\nrule10: Dumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Mean($x, False)\nrule12: Wumpus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Large($x, True)\nrule14: Zumpus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Red($x, True)\nrule16: Numpus($x, True) → Impus($x, True)\nrule17: Jompus($x, True) → Mean($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Tumpus($x, True) → Liquid($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Mean($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Mean('Polly', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Red($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nWumpus('Polly', True)\nZumpus('Polly', True)\nNumpus('Polly', True)\nLiquid('Polly', True)\nOpaque('Polly', True)\nMean('Polly', False)\nLarge('Polly', True)\nRed('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Polly', False)\nAccording to the implied fact: Dumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-247_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Yumpuses are not kind. Every yumpus is a numpus. Each numpus is nervous. Each numpus is a jompus. Each jompus is not red. Jompuses are vumpuses. Vumpuses are spicy. Rompuses are not nervous. Each vumpus is a wumpus. Each wumpus is cold. Wumpuses are impuses. Impuses are wooden. Every impus is a zumpus. Each zumpus is bright. Zumpuses are tumpuses. Every tumpus is large. Every tumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Kind($x, False)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Nervous($x, True)\nrule4: Numpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Red($x, False)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Spicy($x, True)\nrule8: Rompus($x, True) → Nervous($x, False)\nrule9: Vumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Cold($x, True)\nrule11: Wumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Wooden($x, True)\nrule13: Impus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Bright($x, True)\nrule15: Zumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Large($x, True)\nrule17: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Red($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Spicy('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Wooden($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nVumpus('Fae', True)\nWumpus('Fae', True)\nImpus('Fae', True)\nZumpus('Fae', True)\nTumpus('Fae', True)\nNervous('Fae', True)\nRed('Fae', False)\nSpicy('Fae', True)\nCold('Fae', True)\nWooden('Fae', True)\nBright('Fae', True)\nLarge('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Fae', False)\nAccording to the implied fact: Wumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-13_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Each zumpus is amenable. Each wumpus is not feisty. Zumpuses are numpuses. Numpuses are hot. Every numpus is an impus. Impuses are red. Impuses are vumpuses. Every vumpus is not transparent. Vumpuses are yumpuses. Every yumpus is feisty. Every yumpus is a tumpus. Tumpuses are small. Every tumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Amenable($x, True)\nrule2: Wumpus($x, True) → Feisty($x, False)\nrule3: Zumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Hot($x, True)\nrule5: Numpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Red($x, True)\nrule7: Impus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Transparent($x, False)\nrule9: Vumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Feisty($x, True)\nrule11: Yumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Small($x, True)\nrule13: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Amenable($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Amenable('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Hot($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Red($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Transparent($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nImpus('Rex', True)\nVumpus('Rex', True)\nYumpus('Rex', True)\nTumpus('Rex', True)\nAmenable('Rex', True)\nHot('Rex', True)\nRed('Rex', True)\nTransparent('Rex', False)\nFeisty('Rex', True)\nSmall('Rex', True)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Rex', True)\nAccording to the implied fact: Red('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-223_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a vumpus. Each wumpus is earthy. Every wumpus is a vumpus. Every numpus is dull. Vumpuses are not dull. Each vumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Earthy($x, True)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Numpus($x, True) → Dull($x, True)\nrule4: Vumpus($x, True) → Dull($x, False)\nrule5: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nDull('Max', False)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', True)\nAccording to the known fact: Vumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-150_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Each yumpus is liquid. Yumpuses are wumpuses. Every wumpus is floral. Wumpuses are jompuses. Each jompus is hot. Jompuses are rompuses. Each rompus is not small. Rompuses are numpuses. Every dumpus is not opaque. Numpuses are feisty. Numpuses are impuses. Each impus is not bright. Impuses are tumpuses. Every tumpus is opaque. Tumpuses are zumpuses. Zumpuses are not sweet. Each zumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Liquid($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Floral($x, True)\nrule4: Wumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Hot($x, True)\nrule6: Jompus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Small($x, False)\nrule8: Rompus($x, True) → Numpus($x, True)\nrule9: Dumpus($x, True) → Opaque($x, False)\nrule10: Numpus($x, True) → Feisty($x, True)\nrule11: Numpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Bright($x, False)\nrule13: Impus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Opaque($x, True)\nrule15: Tumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Sweet($x, False)\nrule17: Zumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Sweet($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nNumpus('Max', True)\nImpus('Max', True)\nTumpus('Max', True)\nZumpus('Max', True)\nHot('Max', True)\nSmall('Max', False)\nFeisty('Max', True)\nBright('Max', False)\nOpaque('Max', True)\nSweet('Max', False)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Max', False)\nAccording to the implied fact: Small('Max', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-227_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Dumpuses are transparent. Each dumpus is a wumpus. Every numpus is not cold. Wumpuses are bright. Each wumpus is an impus. Each impus is bitter. Impuses are zumpuses. Every zumpus is cold. Zumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Transparent($x, True)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Numpus($x, True) → Cold($x, False)\nrule4: Wumpus($x, True) → Bright($x, True)\nrule5: Wumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Bitter($x, True)\nrule7: Impus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Cold($x, True)\nrule9: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Impus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Sally', True)\nBitter('Sally', True)\nCold('Sally', True)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Sally', False)\nAccording to the implied fact: Cold('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-3_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Every yumpus is kind. Each vumpus is shy. Yumpuses are tumpuses. Every tumpus is not orange. Every tumpus is a numpus. Each numpus is transparent. Every numpus is a jompus. Each jompus is not shy. Jompuses are dumpuses. Each dumpus is not small. Dumpuses are wumpuses. Wumpuses are not sour. Wumpuses are rompuses. Rompuses are not dull. Rompuses are impuses. Impuses are not earthy. Each impus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Kind($x, True)\nrule2: Vumpus($x, True) → Shy($x, True)\nrule3: Yumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Orange($x, False)\nrule5: Tumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Transparent($x, True)\nrule7: Numpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Shy($x, False)\nrule9: Jompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Small($x, False)\nrule11: Dumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Sour($x, False)\nrule13: Wumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Dull($x, False)\nrule15: Rompus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Earthy($x, False)\nrule17: Impus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Orange($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Shy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Small($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Sour($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Dull($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Earthy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Rex', True)\nNumpus('Rex', True)\nJompus('Rex', True)\nDumpus('Rex', True)\nWumpus('Rex', True)\nRompus('Rex', True)\nImpus('Rex', True)\nKind('Rex', True)\nOrange('Rex', False)\nTransparent('Rex', True)\nShy('Rex', False)\nSmall('Rex', False)\nSour('Rex', False)\nDull('Rex', False)\nEarthy('Rex', False)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not kind.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nKind('Rex', False)\nAccording to the implied fact: Kind('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-114_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Numpuses are happy. Each numpus is a rompus. Each rompus is opaque. Each rompus is a wumpus. Each zumpus is not wooden. Wumpuses are bright. Wumpuses are yumpuses. Yumpuses are not fruity. Every yumpus is a vumpus. Vumpuses are wooden. Vumpuses are dumpuses. Dumpuses are bitter. Dumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Happy($x, True)\nrule2: Numpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Opaque($x, True)\nrule4: Rompus($x, True) → Wumpus($x, True)\nrule5: Zumpus($x, True) → Wooden($x, False)\nrule6: Wumpus($x, True) → Bright($x, True)\nrule7: Wumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Fruity($x, False)\nrule9: Yumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Wooden($x, True)\nrule11: Vumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Bitter($x, True)\nrule13: Dumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Yumpus($x, True) → Fruity($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Wooden($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Bitter($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nDumpus('Polly', True)\nFruity('Polly', False)\nWooden('Polly', True)\nBitter('Polly', True)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Polly', True)\nAccording to the implied fact: Fruity('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-233_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Wumpuses are shy. Each wumpus is a zumpus. Zumpuses are large. Every zumpus is a vumpus. Every vumpus is not aggressive. Every vumpus is a numpus. Numpuses are floral. Every jompus is aggressive. Numpuses are impuses. Each impus is transparent. Impuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Shy($x, True)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Large($x, True)\nrule4: Zumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Aggressive($x, False)\nrule6: Vumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Floral($x, True)\nrule8: Jompus($x, True) → Aggressive($x, True)\nrule9: Numpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Transparent($x, True)\nrule11: Impus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Aggressive($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Numpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Fae', True)\nNumpus('Fae', True)\nImpus('Fae', True)\nLarge('Fae', True)\nAggressive('Fae', False)\nFloral('Fae', True)\nTransparent('Fae', True)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAggressive('Fae', False)\nAccording to the implied fact: Aggressive('Fae', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-493_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Dumpuses are kind. Dumpuses are impuses. Every impus is not transparent. Every impus is a vumpus. Vumpuses are not hot. Every vumpus is a zumpus. Each wumpus is hot. Zumpuses are not brown. Zumpuses are numpuses. Numpuses are not earthy. Numpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Kind($x, True)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Transparent($x, False)\nrule4: Impus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Hot($x, False)\nrule6: Vumpus($x, True) → Zumpus($x, True)\nrule7: Wumpus($x, True) → Hot($x, True)\nrule8: Zumpus($x, True) → Brown($x, False)\nrule9: Zumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Earthy($x, False)\nrule11: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Hot($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Zumpus($x, True) → Brown($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Earthy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nNumpus('Stella', True)\nHot('Stella', False)\nBrown('Stella', False)\nEarthy('Stella', False)\nTumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Stella', True)\nAccording to the implied fact: Numpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-223_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Each impus is not amenable. Every impus is a vumpus. Every vumpus is dull. Vumpuses are numpuses. Every numpus is floral. Each numpus is a rompus. Tumpuses are not opaque. Rompuses are shy. Rompuses are jompuses. Jompuses are metallic. Jompuses are zumpuses. Zumpuses are opaque. Zumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Amenable($x, False)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Dull($x, True)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Floral($x, True)\nrule6: Numpus($x, True) → Rompus($x, True)\nrule7: Tumpus($x, True) → Opaque($x, False)\nrule8: Rompus($x, True) → Shy($x, True)\nrule9: Rompus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Metallic($x, True)\nrule11: Jompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Opaque($x, True)\nrule13: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Rompus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nJompus('Rex', True)\nZumpus('Rex', True)\nFloral('Rex', True)\nShy('Rex', True)\nMetallic('Rex', True)\nOpaque('Rex', True)\nWumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Rex', True)\nAccording to the implied fact: Opaque('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-269_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Tumpuses are blue. Each wumpus is not dull. Tumpuses are yumpuses. Yumpuses are transparent. Every yumpus is a vumpus. Vumpuses are feisty. Vumpuses are dumpuses. Each dumpus is not metallic. Dumpuses are rompuses. Every rompus is temperate. Every rompus is a jompus. Each jompus is dull. Jompuses are numpuses. Numpuses are not spicy. Every numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Blue($x, True)\nrule2: Wumpus($x, True) → Dull($x, False)\nrule3: Tumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Transparent($x, True)\nrule5: Yumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Feisty($x, True)\nrule7: Vumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Metallic($x, False)\nrule9: Dumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Temperate($x, True)\nrule11: Rompus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Dull($x, True)\nrule13: Jompus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Spicy($x, False)\nrule15: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Dumpus($x, True) → Metallic($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Spicy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nJompus('Sally', True)\nNumpus('Sally', True)\nMetallic('Sally', False)\nTemperate('Sally', True)\nDull('Sally', True)\nSpicy('Sally', False)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Sally', False)\nAccording to the implied fact: Metallic('Sally', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-188_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Tumpuses are dull. Every tumpus is a rompus. Every rompus is not feisty. Rompuses are wumpuses. Wumpuses are not liquid. Wumpuses are dumpuses. Vumpuses are not opaque. Every dumpus is not large. Dumpuses are zumpuses. Zumpuses are opaque. Every zumpus is a jompus. Each jompus is cold. Jompuses are numpuses. Numpuses are not fruity. Each numpus is an impus. Impuses are not brown. Impuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Dull($x, True)\nrule2: Tumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Feisty($x, False)\nrule4: Rompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Liquid($x, False)\nrule6: Wumpus($x, True) → Dumpus($x, True)\nrule7: Vumpus($x, True) → Opaque($x, False)\nrule8: Dumpus($x, True) → Large($x, False)\nrule9: Dumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Opaque($x, True)\nrule11: Zumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Cold($x, True)\nrule13: Jompus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Fruity($x, False)\nrule15: Numpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Brown($x, False)\nrule17: Impus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Feisty($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Liquid($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Dumpus($x, True) → Large($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Cold($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Fruity($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Brown($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Polly', True)\nWumpus('Polly', True)\nDumpus('Polly', True)\nZumpus('Polly', True)\nJompus('Polly', True)\nNumpus('Polly', True)\nImpus('Polly', True)\nDull('Polly', True)\nFeisty('Polly', False)\nLiquid('Polly', False)\nLarge('Polly', False)\nOpaque('Polly', True)\nCold('Polly', True)\nFruity('Polly', False)\nBrown('Polly', False)\nYumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Polly', False)\nAccording to the implied fact: Opaque('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-106_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Rompuses are blue. Numpuses are transparent. Every numpus is a vumpus. Vumpuses are amenable. Every vumpus is a jompus. Jompuses are temperate. Jompuses are tumpuses. Each tumpus is not floral. Every tumpus is a yumpus. Each yumpus is liquid. Each yumpus is a zumpus. Each zumpus is not dull. Each zumpus is a dumpus. Every dumpus is not blue. Each dumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Blue($x, True)\nrule2: Numpus($x, True) → Transparent($x, True)\nrule3: Numpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Amenable($x, True)\nrule5: Vumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Temperate($x, True)\nrule7: Jompus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Floral($x, False)\nrule9: Tumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Liquid($x, True)\nrule11: Yumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Dull($x, False)\nrule13: Zumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Blue($x, False)\nrule15: Dumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Dumpus($x, True) → Blue($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nBlue('Sam', False)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Sam', True)\nAccording to the implied fact: Blue('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-398_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Yumpuses are orange. Yumpuses are wumpuses. Each wumpus is wooden. Each wumpus is a jompus. Jompuses are transparent. Every jompus is a tumpus. Every tumpus is bitter. Each tumpus is a dumpus. Every dumpus is dull. Dumpuses are rompuses. Every vumpus is not dull. Rompuses are not feisty. Rompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Orange($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Wooden($x, True)\nrule4: Wumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Transparent($x, True)\nrule6: Jompus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Bitter($x, True)\nrule8: Tumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Dull($x, True)\nrule10: Dumpus($x, True) → Rompus($x, True)\nrule11: Vumpus($x, True) → Dull($x, False)\nrule12: Rompus($x, True) → Feisty($x, False)\nrule13: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Rompus($x, True) → Feisty($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nJompus('Rex', True)\nTumpus('Rex', True)\nDumpus('Rex', True)\nRompus('Rex', True)\nOrange('Rex', True)\nWooden('Rex', True)\nTransparent('Rex', True)\nBitter('Rex', True)\nDull('Rex', True)\nFeisty('Rex', False)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Rex', False)\nAccording to the implied fact: Feisty('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-250_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a numpus. Tumpuses are temperate. Tumpuses are zumpuses. Zumpuses are kind. Zumpuses are numpuses. Numpuses are feisty. Numpuses are impuses. Impuses are not wooden. Impuses are wumpuses. Each wumpus is large. Every wumpus is a vumpus. Vumpuses are blue. Each vumpus is a rompus. Rompuses are floral. Each rompus is a yumpus. Yumpuses are transparent. Yumpuses are jompuses. Every dumpus is not blue.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Temperate($x, True)\nrule2: Tumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Kind($x, True)\nrule4: Zumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Feisty($x, True)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Wooden($x, False)\nrule8: Impus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Large($x, True)\nrule10: Wumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Blue($x, True)\nrule12: Vumpus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Floral($x, True)\nrule14: Rompus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Transparent($x, True)\nrule16: Yumpus($x, True) → Jompus($x, True)\nrule17: Dumpus($x, True) → Blue($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Wooden($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nWumpus('Wren', True)\nVumpus('Wren', True)\nRompus('Wren', True)\nYumpus('Wren', True)\nFeisty('Wren', True)\nWooden('Wren', False)\nLarge('Wren', True)\nBlue('Wren', True)\nFloral('Wren', True)\nTransparent('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Wren', False)\nAccording to the implied fact: Blue('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-186_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Dumpuses are opaque. Each dumpus is a yumpus. Every zumpus is not shy. Yumpuses are shy. Each yumpus is an impus. Impuses are bright. Every impus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, True)\nrule2: Dumpus($x, True) → Yumpus($x, True)\nrule3: Zumpus($x, True) → Shy($x, False)\nrule4: Yumpus($x, True) → Shy($x, True)\nrule5: Yumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Bright($x, True)\nrule7: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Yumpus($x, True) → Shy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nShy('Wren', True)\nBright('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is shy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nShy('Wren', True)\nAccording to the implied fact: Shy('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-98_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Dumpuses are not shy. Dumpuses are zumpuses. Zumpuses are not liquid. Each zumpus is a yumpus. Rompuses are liquid.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Shy($x, False)\nrule2: Dumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Liquid($x, False)\nrule4: Zumpus($x, True) → Yumpus($x, True)\nrule5: Rompus($x, True) → Liquid($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Liquid($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nLiquid('Fae', False)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Fae', False)\nAccording to the implied fact: Yumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-178_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Every rompus is not liquid. Rompuses are vumpuses. Each vumpus is not nervous. Each vumpus is a numpus. Every numpus is spicy. Numpuses are zumpuses. Every zumpus is bright. Wumpuses are not spicy. Every zumpus is a yumpus. Each yumpus is cold. Every yumpus is a tumpus. Each tumpus is fruity. Tumpuses are impuses. Impuses are large. Impuses are jompuses. Jompuses are opaque. Each jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Liquid($x, False)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Nervous($x, False)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Spicy($x, True)\nrule6: Numpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Bright($x, True)\nrule8: Wumpus($x, True) → Spicy($x, False)\nrule9: Zumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Cold($x, True)\nrule11: Yumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Fruity($x, True)\nrule13: Tumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Large($x, True)\nrule15: Impus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Opaque($x, True)\nrule17: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nYumpus('Rex', True)\nTumpus('Rex', True)\nImpus('Rex', True)\nJompus('Rex', True)\nSpicy('Rex', True)\nBright('Rex', True)\nCold('Rex', True)\nFruity('Rex', True)\nLarge('Rex', True)\nOpaque('Rex', True)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Rex', True)\nAccording to the implied fact: Jompus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-172_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Every vumpus is cold. Zumpuses are not cold. Every zumpus is an impus. Every impus is not transparent. Impuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Cold($x, True)\nrule2: Zumpus($x, True) → Cold($x, False)\nrule3: Zumpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Transparent($x, False)\nrule5: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Zumpus($x, True) → Cold($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Transparent($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nImpus('Alex', True)\nCold('Alex', False)\nTransparent('Alex', False)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Alex', True)\nAccording to the implied fact: Transparent('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-430_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a jompus. Every jompus is not bitter. Each jompus is a yumpus. Every yumpus is nervous. Each yumpus is a numpus. Each numpus is aggressive. Every numpus is a dumpus. Each dumpus is wooden. Zumpuses are not wooden. Dumpuses are tumpuses. Every tumpus is not bright. Each tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bitter($x, False)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Nervous($x, True)\nrule4: Yumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Aggressive($x, True)\nrule6: Numpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Wooden($x, True)\nrule8: Zumpus($x, True) → Wooden($x, False)\nrule9: Dumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Bright($x, False)\nrule11: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nNumpus('Wren', True)\nDumpus('Wren', True)\nTumpus('Wren', True)\nBitter('Wren', False)\nNervous('Wren', True)\nAggressive('Wren', True)\nWooden('Wren', True)\nBright('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Wren', True)\nAccording to the implied fact: Wooden('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-156_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Each vumpus is aggressive. Each vumpus is an impus. Every impus is earthy. Each tumpus is not temperate. Impuses are zumpuses. Each zumpus is not shy. Zumpuses are numpuses. Each numpus is temperate. Each numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Aggressive($x, True)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Earthy($x, True)\nrule4: Tumpus($x, True) → Temperate($x, False)\nrule5: Impus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Shy($x, False)\nrule7: Zumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Temperate($x, True)\nrule9: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Shy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nNumpus('Fae', True)\nEarthy('Fae', True)\nShy('Fae', False)\nTemperate('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Fae', True)\nAccording to the known fact: Impus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-447_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Each tumpus is happy. Each tumpus is a jompus. Yumpuses are not happy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Happy($x, True)\nrule2: Tumpus($x, True) → Jompus($x, True)\nrule3: Yumpus($x, True) → Happy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nHappy('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sam', False)\nAccording to the implied fact: Jompus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-40_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Every vumpus is transparent. Vumpuses are yumpuses. Each yumpus is dull. Yumpuses are wumpuses. Wumpuses are not blue. Wumpuses are impuses. Impuses are cold. Impuses are rompuses. Every rompus is not feisty. Rompuses are numpuses. Each numpus is bitter. Each jompus is not cold. Numpuses are tumpuses. Tumpuses are not luminous. Tumpuses are dumpuses. Each dumpus is not angry. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Transparent($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Dull($x, True)\nrule4: Yumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Blue($x, False)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Cold($x, True)\nrule8: Impus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Feisty($x, False)\nrule10: Rompus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Bitter($x, True)\nrule12: Jompus($x, True) → Cold($x, False)\nrule13: Numpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Luminous($x, False)\nrule15: Tumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Angry($x, False)\nrule17: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Blue($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Feisty($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Bitter($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Luminous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Angry($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Angry('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nImpus('Alex', True)\nRompus('Alex', True)\nNumpus('Alex', True)\nTumpus('Alex', True)\nDumpus('Alex', True)\nDull('Alex', True)\nBlue('Alex', False)\nCold('Alex', True)\nFeisty('Alex', False)\nBitter('Alex', True)\nLuminous('Alex', False)\nAngry('Alex', False)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', True)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-0_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Tumpuses are not angry. Tumpuses are wumpuses. Wumpuses are happy. Every wumpus is a dumpus. Dumpuses are temperate. Each dumpus is an impus. Each impus is not spicy. Impuses are yumpuses. Yumpuses are not fruity. Each jompus is fruity. Each yumpus is a vumpus. Each vumpus is bright. Every vumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Angry($x, False)\nrule2: Tumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Happy($x, True)\nrule4: Wumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Temperate($x, True)\nrule6: Dumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Spicy($x, False)\nrule8: Impus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Fruity($x, False)\nrule10: Jompus($x, True) → Fruity($x, True)\nrule11: Yumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Bright($x, True)\nrule13: Vumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Spicy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Fruity($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nYumpus('Wren', True)\nVumpus('Wren', True)\nTemperate('Wren', True)\nSpicy('Wren', False)\nFruity('Wren', False)\nBright('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', True)\nAccording to the implied fact: Impus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-164_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Each zumpus is not bitter. Every dumpus is bitter. Every dumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Bitter($x, False)\nrule2: Dumpus($x, True) → Bitter($x, True)\nrule3: Dumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Dumpus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nBitter('Fae', True)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Fae', True)\nAccording to the implied fact: Wumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-297_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Jompuses are not large. Every jompus is a yumpus. Every impus is large.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Large($x, False)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Impus($x, True) → Large($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Large($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nLarge('Polly', False)\nYumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Polly', False)\nAccording to the implied fact: Yumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-375_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Each impus is orange. Each impus is a zumpus. Zumpuses are not temperate. Each zumpus is a jompus. Each jompus is small. Each jompus is a numpus. Every numpus is transparent. Every numpus is a vumpus. Vumpuses are not dull. Each vumpus is a rompus. Rompuses are bitter. Every rompus is a tumpus. Every wumpus is not bitter.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Orange($x, True)\nrule2: Impus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Temperate($x, False)\nrule4: Zumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Small($x, True)\nrule6: Jompus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Transparent($x, True)\nrule8: Numpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Dull($x, False)\nrule10: Vumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Bitter($x, True)\nrule12: Rompus($x, True) → Tumpus($x, True)\nrule13: Wumpus($x, True) → Bitter($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Temperate($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Bitter($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bitter('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nNumpus('Max', True)\nVumpus('Max', True)\nRompus('Max', True)\nTemperate('Max', False)\nSmall('Max', True)\nTransparent('Max', True)\nDull('Max', False)\nBitter('Max', True)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Max', False)\nAccording to the known fact: Zumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-87_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is an impus. Tumpuses are not transparent. Tumpuses are impuses. Every impus is hot. Each impus is a numpus. Each numpus is happy. Each numpus is a rompus. Every rompus is not red. Rompuses are wumpuses. Every dumpus is red. Wumpuses are not metallic. Wumpuses are jompuses. Each jompus is not bright. Jompuses are vumpuses. Vumpuses are spicy. Every vumpus is a zumpus. Each zumpus is earthy. Each zumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Transparent($x, False)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Hot($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Happy($x, True)\nrule6: Numpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Red($x, False)\nrule8: Rompus($x, True) → Wumpus($x, True)\nrule9: Dumpus($x, True) → Red($x, True)\nrule10: Wumpus($x, True) → Metallic($x, False)\nrule11: Wumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Bright($x, False)\nrule13: Jompus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Spicy($x, True)\nrule15: Vumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Earthy($x, True)\nrule17: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Hot($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Happy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Happy('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Red($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Wumpus($x, True) → Metallic($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Bright($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nRompus('Rex', True)\nWumpus('Rex', True)\nJompus('Rex', True)\nVumpus('Rex', True)\nZumpus('Rex', True)\nHot('Rex', True)\nHappy('Rex', True)\nRed('Rex', False)\nMetallic('Rex', False)\nBright('Rex', False)\nSpicy('Rex', True)\nEarthy('Rex', True)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Rex', True)\nAccording to the implied fact: Yumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-364_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Each tumpus is large. Every tumpus is a zumpus. Zumpuses are not metallic. Zumpuses are numpuses. Numpuses are cold. Every numpus is a dumpus. Every dumpus is not red. Dumpuses are jompuses. Each jompus is fruity. Jompuses are vumpuses. Every vumpus is opaque. Vumpuses are impuses. Impuses are spicy. Every impus is a yumpus. Every yumpus is not dull. Wumpuses are dull. Every yumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Large($x, True)\nrule2: Tumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Metallic($x, False)\nrule4: Zumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Cold($x, True)\nrule6: Numpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Red($x, False)\nrule8: Dumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Fruity($x, True)\nrule10: Jompus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Opaque($x, True)\nrule12: Vumpus($x, True) → Impus($x, True)\nrule13: Impus($x, True) → Spicy($x, True)\nrule14: Impus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Dull($x, False)\nrule16: Wumpus($x, True) → Dull($x, True)\nrule17: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Dumpus($x, True) → Red($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Dull($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nVumpus('Sam', True)\nImpus('Sam', True)\nYumpus('Sam', True)\nRed('Sam', False)\nFruity('Sam', True)\nOpaque('Sam', True)\nSpicy('Sam', True)\nDull('Sam', False)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Sam', True)\nAccording to the implied fact: Red('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-318_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Each wumpus is small. Each wumpus is a dumpus. Dumpuses are not dull. Dumpuses are tumpuses. Every tumpus is not amenable. Tumpuses are zumpuses. Zumpuses are not orange. Each zumpus is a jompus. Each yumpus is opaque. Each jompus is cold. Every jompus is an impus. Every impus is feisty. Impuses are vumpuses. Each vumpus is fruity. Vumpuses are rompuses. Each rompus is not opaque. Rompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, True)\nrule2: Wumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Dull($x, False)\nrule4: Dumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Amenable($x, False)\nrule6: Tumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Orange($x, False)\nrule8: Zumpus($x, True) → Jompus($x, True)\nrule9: Yumpus($x, True) → Opaque($x, True)\nrule10: Jompus($x, True) → Cold($x, True)\nrule11: Jompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Feisty($x, True)\nrule13: Impus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Fruity($x, True)\nrule15: Vumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Opaque($x, False)\nrule17: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Jompus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nVumpus('Sam', True)\nRompus('Sam', True)\nCold('Sam', True)\nFeisty('Sam', True)\nFruity('Sam', True)\nOpaque('Sam', False)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sam', False)\nAccording to the implied fact: Vumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-252_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Every rompus is spicy. Rompuses are impuses. Each impus is cold. Every impus is a numpus. Each numpus is small. Each numpus is a tumpus. Every tumpus is bright. Every dumpus is not cold. Every tumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nSpicy($x, bool) ::: Is x spicy?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Spicy($x, True)\nrule2: Rompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Cold($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Small($x, True)\nrule6: Numpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Bright($x, True)\nrule8: Dumpus($x, True) → Cold($x, False)\nrule9: Tumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Alex', True)\nNumpus('Alex', True)\nTumpus('Alex', True)\nSpicy('Alex', True)\nCold('Alex', True)\nSmall('Alex', True)\nBright('Alex', True)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Alex', True)\nAccording to the implied fact: Small('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-139_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a rompus. Vumpuses are not shy. Vumpuses are rompuses. Rompuses are fruity. Each rompus is a dumpus. Dumpuses are not opaque. Wumpuses are opaque. Dumpuses are impuses. Each impus is not bitter. Impuses are yumpuses. Yumpuses are metallic. Yumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Shy($x, False)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Fruity($x, True)\nrule4: Rompus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Opaque($x, False)\nrule6: Wumpus($x, True) → Opaque($x, True)\nrule7: Dumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Bitter($x, False)\nrule9: Impus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Metallic($x, True)\nrule11: Yumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Opaque($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Bitter($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nImpus('Polly', True)\nYumpus('Polly', True)\nFruity('Polly', True)\nOpaque('Polly', False)\nBitter('Polly', False)\nMetallic('Polly', True)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Polly', False)\nAccording to the implied fact: Impus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-189_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Each wumpus is not metallic. Impuses are earthy. Impuses are tumpuses. Each tumpus is small. Tumpuses are rompuses. Every rompus is metallic. Rompuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Metallic($x, False)\nrule2: Impus($x, True) → Earthy($x, True)\nrule3: Impus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Small($x, True)\nrule5: Tumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Metallic($x, True)\nrule7: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Tumpus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Metallic($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Metallic('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nSmall('Max', True)\nMetallic('Max', True)\nDumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Max', True)\nAccording to the implied fact: Small('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-362_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Every jompus is dull. Every jompus is a wumpus. Wumpuses are not temperate. Every wumpus is a dumpus. Every dumpus is angry. Every dumpus is a tumpus. Each tumpus is not transparent. Each tumpus is a zumpus. Each zumpus is fruity. Zumpuses are impuses. Impuses are not nervous. Vumpuses are not fruity. Impuses are yumpuses. Yumpuses are wooden. Each yumpus is a rompus. Rompuses are not large. Each rompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Dull($x, True)\nrule2: Jompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Temperate($x, False)\nrule4: Wumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Angry($x, True)\nrule6: Dumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Transparent($x, False)\nrule8: Tumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Fruity($x, True)\nrule10: Zumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Nervous($x, False)\nrule12: Vumpus($x, True) → Fruity($x, False)\nrule13: Impus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Wooden($x, True)\nrule15: Yumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Large($x, False)\nrule17: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Tumpus($x, True) → Transparent($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Nervous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Large($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nImpus('Sam', True)\nYumpus('Sam', True)\nRompus('Sam', True)\nTransparent('Sam', False)\nFruity('Sam', True)\nNervous('Sam', False)\nWooden('Sam', True)\nLarge('Sam', False)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sam', True)\nAccording to the implied fact: Impus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-471_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Vumpuses are liquid. Each vumpus is a dumpus. Every dumpus is floral. Dumpuses are yumpuses. Tumpuses are sweet. Yumpuses are cold. Each yumpus is an impus. Impuses are not orange. Each impus is a rompus. Rompuses are not sweet. Each rompus is a zumpus. Each zumpus is happy. Zumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Liquid($x, True)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Floral($x, True)\nrule4: Dumpus($x, True) → Yumpus($x, True)\nrule5: Tumpus($x, True) → Sweet($x, True)\nrule6: Yumpus($x, True) → Cold($x, True)\nrule7: Yumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Orange($x, False)\nrule9: Impus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Sweet($x, False)\nrule11: Rompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Happy($x, True)\nrule13: Zumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Orange($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Orange('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Sweet($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nImpus('Wren', True)\nRompus('Wren', True)\nZumpus('Wren', True)\nFloral('Wren', True)\nCold('Wren', True)\nOrange('Wren', False)\nSweet('Wren', False)\nHappy('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', False)\nAccording to the implied fact: Impus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-262_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Every zumpus is feisty. Every zumpus is a vumpus. Vumpuses are blue. Vumpuses are tumpuses. Every tumpus is not large. Tumpuses are yumpuses. Yumpuses are not transparent. Every yumpus is a rompus. Rompuses are wooden. Every rompus is a wumpus. Every wumpus is not angry. Each wumpus is a dumpus. Each impus is large. Dumpuses are temperate. Dumpuses are jompuses. Each jompus is not earthy. Jompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Feisty($x, True)\nrule2: Zumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Blue($x, True)\nrule4: Vumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Large($x, False)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Transparent($x, False)\nrule8: Yumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Wooden($x, True)\nrule10: Rompus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Angry($x, False)\nrule12: Wumpus($x, True) → Dumpus($x, True)\nrule13: Impus($x, True) → Large($x, True)\nrule14: Dumpus($x, True) → Temperate($x, True)\nrule15: Dumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Earthy($x, False)\nrule17: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Feisty($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Transparent($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Angry($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Earthy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nTumpus('Max', True)\nYumpus('Max', True)\nRompus('Max', True)\nWumpus('Max', True)\nDumpus('Max', True)\nJompus('Max', True)\nFeisty('Max', True)\nBlue('Max', True)\nLarge('Max', False)\nTransparent('Max', False)\nWooden('Max', True)\nAngry('Max', False)\nTemperate('Max', True)\nEarthy('Max', False)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', True)\nAccording to the implied fact: Vumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-412_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is an impus. Every impus is hot. Impuses are yumpuses. Each yumpus is not spicy. Yumpuses are dumpuses. Dumpuses are bright. Each dumpus is a rompus. Every rompus is kind. Rompuses are jompuses. Each jompus is opaque. Jompuses are numpuses. Numpuses are blue. Every vumpus is spicy. Numpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nImpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Hot($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Spicy($x, False)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Bright($x, True)\nrule6: Dumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Kind($x, True)\nrule8: Rompus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Opaque($x, True)\nrule10: Jompus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Blue($x, True)\nrule12: Vumpus($x, True) → Spicy($x, True)\nrule13: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Hot($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Spicy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nYumpus('Rex', True)\nDumpus('Rex', True)\nRompus('Rex', True)\nJompus('Rex', True)\nNumpus('Rex', True)\nHot('Rex', True)\nSpicy('Rex', False)\nBright('Rex', True)\nKind('Rex', True)\nOpaque('Rex', True)\nBlue('Rex', True)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Rex', False)\nAccording to the implied fact: Bright('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-434_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Numpuses are not feisty. Every numpus is a yumpus. Yumpuses are not transparent. Yumpuses are vumpuses. Vumpuses are temperate. Every vumpus is a tumpus. Tumpuses are liquid. Every tumpus is a dumpus. Dumpuses are kind. Every dumpus is a wumpus. Wumpuses are floral. Impuses are dull. Wumpuses are jompuses. Every jompus is not sour. Each jompus is a zumpus. Every zumpus is not dull. Zumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Feisty($x, False)\nrule2: Numpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Transparent($x, False)\nrule4: Yumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Temperate($x, True)\nrule6: Vumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Liquid($x, True)\nrule8: Tumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Kind($x, True)\nrule10: Dumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Floral($x, True)\nrule12: Impus($x, True) → Dull($x, True)\nrule13: Wumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Sour($x, False)\nrule15: Jompus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Dull($x, False)\nrule17: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Dumpus($x, True) → Kind($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Sour($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Dull($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nJompus('Wren', True)\nZumpus('Wren', True)\nKind('Wren', True)\nFloral('Wren', True)\nSour('Wren', False)\nDull('Wren', False)\nRompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not a Jompus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Wren', False)\nAccording to the implied fact: Jompus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-337_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Every vumpus is not nervous. Every vumpus is a jompus. Each numpus is nervous.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Nervous($x, False)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Numpus($x, True) → Nervous($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Nervous($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nNervous('Fae', False)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Fae', True)\nAccording to the implied fact: Jompus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-209_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Every dumpus is not angry. Dumpuses are yumpuses. Each numpus is shy. Every yumpus is not bright. Every yumpus is a tumpus. Tumpuses are opaque. Tumpuses are wumpuses. Wumpuses are orange. Each wumpus is a rompus. Every rompus is sweet. Rompuses are impuses. Impuses are not shy. Impuses are vumpuses. Vumpuses are not earthy. Vumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Angry($x, False)\nrule2: Dumpus($x, True) → Yumpus($x, True)\nrule3: Numpus($x, True) → Shy($x, True)\nrule4: Yumpus($x, True) → Bright($x, False)\nrule5: Yumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Opaque($x, True)\nrule7: Tumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Orange($x, True)\nrule9: Wumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Sweet($x, True)\nrule11: Rompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Shy($x, False)\nrule13: Impus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Earthy($x, False)\nrule15: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Shy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Earthy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nVumpus('Wren', True)\nSweet('Wren', True)\nShy('Wren', False)\nEarthy('Wren', False)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Wren', True)\nAccording to the known fact: Rompus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-399_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Each vumpus is metallic. Vumpuses are yumpuses. Yumpuses are small. Yumpuses are numpuses. Numpuses are transparent. Numpuses are impuses. Each tumpus is blue. Every impus is happy. Each impus is a zumpus. Zumpuses are amenable. Every zumpus is a rompus. Every rompus is hot. Rompuses are jompuses. Jompuses are bright. Each jompus is a wumpus. Each wumpus is not blue. Every wumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Metallic($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Small($x, True)\nrule4: Yumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Transparent($x, True)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Tumpus($x, True) → Blue($x, True)\nrule8: Impus($x, True) → Happy($x, True)\nrule9: Impus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Amenable($x, True)\nrule11: Zumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Hot($x, True)\nrule13: Rompus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Bright($x, True)\nrule15: Jompus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Blue($x, False)\nrule17: Wumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Zumpus($x, True) → Amenable($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Blue($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nJompus('Sam', True)\nWumpus('Sam', True)\nAmenable('Sam', True)\nHot('Sam', True)\nBright('Sam', True)\nBlue('Sam', False)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Sam', True)\nAccording to the implied fact: Amenable('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-20_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Vumpuses are small. Each zumpus is earthy. Vumpuses are tumpuses. Tumpuses are not opaque. Tumpuses are numpuses. Numpuses are sweet. Every numpus is a dumpus. Every dumpus is not wooden. Every dumpus is an impus. Every impus is hot. Impuses are rompuses. Rompuses are red. Rompuses are jompuses. Jompuses are kind. Jompuses are yumpuses. Every yumpus is not earthy. Yumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Small($x, True)\nrule2: Zumpus($x, True) → Earthy($x, True)\nrule3: Vumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Opaque($x, False)\nrule5: Tumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Sweet($x, True)\nrule7: Numpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Wooden($x, False)\nrule9: Dumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Hot($x, True)\nrule11: Impus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Red($x, True)\nrule13: Rompus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Kind($x, True)\nrule15: Jompus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Earthy($x, False)\nrule17: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Dumpus($x, True) → Wooden($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Hot($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Red($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Kind($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Earthy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Polly', True)\nRompus('Polly', True)\nJompus('Polly', True)\nYumpus('Polly', True)\nWooden('Polly', False)\nHot('Polly', True)\nRed('Polly', True)\nKind('Polly', True)\nEarthy('Polly', False)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Polly', False)\nAccording to the implied fact: Yumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-399_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a dumpus. Wumpuses are large. Wumpuses are dumpuses. Each dumpus is temperate. Dumpuses are tumpuses. Each tumpus is happy. Each jompus is not temperate. Every tumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nDumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Large($x, True)\nrule2: Wumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Temperate($x, True)\nrule4: Dumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Happy($x, True)\nrule6: Jompus($x, True) → Temperate($x, False)\nrule7: Tumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nTemperate('Stella', True)\nHappy('Stella', True)\nYumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Stella', False)\nAccording to the implied fact: Temperate('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-147_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Every numpus is not amenable. Vumpuses are not orange. Numpuses are zumpuses. Zumpuses are orange. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Amenable($x, False)\nrule2: Vumpus($x, True) → Orange($x, False)\nrule3: Numpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Orange($x, True)\nrule5: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Amenable($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Orange($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nZumpus('Max', True)\nAmenable('Max', False)\nOrange('Max', True)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', False)\nAccording to the implied fact: Impus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-147_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Every zumpus is cold. Each zumpus is an impus. Each impus is not small. Impuses are rompuses. Each rompus is not sour. Each rompus is a wumpus. Wumpuses are not floral. Every dumpus is floral. Every wumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSour($x, bool) ::: Is x sour?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Cold($x, True)\nrule2: Zumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Small($x, False)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Sour($x, False)\nrule6: Rompus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Floral($x, False)\nrule8: Dumpus($x, True) → Floral($x, True)\nrule9: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Sour($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Floral($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nSour('Sam', False)\nFloral('Sam', False)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', False)\nAccording to the implied fact: Wumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-303_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Each rompus is kind. Each rompus is a numpus. Each numpus is red. Every numpus is a vumpus. Every vumpus is cold. Each zumpus is not cold. Every vumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Kind($x, True)\nrule2: Rompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Red($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Cold($x, True)\nrule6: Zumpus($x, True) → Cold($x, False)\nrule7: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Kind($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Red($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nNumpus('Wren', True)\nVumpus('Wren', True)\nKind('Wren', True)\nRed('Wren', True)\nCold('Wren', True)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Wren', True)\nAccording to the implied fact: Red('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-475_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Every vumpus is orange. Vumpuses are yumpuses. Yumpuses are not liquid. Each zumpus is not earthy. Each yumpus is a rompus. Rompuses are not cold. Every rompus is a jompus. Every jompus is earthy. Jompuses are numpuses. Numpuses are feisty. Each numpus is a wumpus. Wumpuses are not dull. Wumpuses are tumpuses. Tumpuses are not small. Every tumpus is an impus. Each impus is transparent. Impuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Orange($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Liquid($x, False)\nrule4: Zumpus($x, True) → Earthy($x, False)\nrule5: Yumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Cold($x, False)\nrule7: Rompus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Earthy($x, True)\nrule9: Jompus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Feisty($x, True)\nrule11: Numpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Dull($x, False)\nrule13: Wumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Small($x, False)\nrule15: Tumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Transparent($x, True)\nrule17: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Orange($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Orange('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Liquid($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Cold($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Earthy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Feisty('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Small($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nRompus('Sally', True)\nJompus('Sally', True)\nNumpus('Sally', True)\nWumpus('Sally', True)\nTumpus('Sally', True)\nImpus('Sally', True)\nOrange('Sally', True)\nLiquid('Sally', False)\nCold('Sally', False)\nEarthy('Sally', True)\nFeisty('Sally', True)\nDull('Sally', False)\nSmall('Sally', False)\nTransparent('Sally', True)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Sally', True)\nAccording to the implied fact: Yumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-493_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Each impus is not opaque. Numpuses are brown. Each numpus is a tumpus. Each tumpus is happy. Tumpuses are dumpuses. Every dumpus is opaque. Each dumpus is a zumpus. Zumpuses are large. Every zumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Opaque($x, False)\nrule2: Numpus($x, True) → Brown($x, True)\nrule3: Numpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Happy($x, True)\nrule5: Tumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Opaque($x, True)\nrule7: Dumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Large($x, True)\nrule9: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Numpus($x, True) → Brown($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nDumpus('Sally', True)\nZumpus('Sally', True)\nBrown('Sally', True)\nHappy('Sally', True)\nOpaque('Sally', True)\nLarge('Sally', True)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Sally', True)\nAccording to the implied fact: Yumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-65_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a rompus. Dumpuses are not dull. Yumpuses are not luminous. Each yumpus is a zumpus. Zumpuses are not sour. Zumpuses are numpuses. Numpuses are cold. Numpuses are rompuses. Rompuses are opaque. Every rompus is a wumpus. Each wumpus is not large. Each wumpus is a jompus. Every jompus is earthy. Jompuses are vumpuses. Vumpuses are not aggressive. Every vumpus is an impus. Each impus is dull. Impuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nImpus($x, bool) ::: Does x belong to Impuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Dull($x, False)\nrule2: Yumpus($x, True) → Luminous($x, False)\nrule3: Yumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Sour($x, False)\nrule5: Zumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Cold($x, True)\nrule7: Numpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Opaque($x, True)\nrule9: Rompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Large($x, False)\nrule11: Wumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Earthy($x, True)\nrule13: Jompus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Aggressive($x, False)\nrule15: Vumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Dull($x, True)\nrule17: Impus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Aggressive($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nJompus('Rex', True)\nVumpus('Rex', True)\nImpus('Rex', True)\nOpaque('Rex', True)\nLarge('Rex', False)\nEarthy('Rex', True)\nAggressive('Rex', False)\nDull('Rex', True)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Rex', True)\nAccording to the implied fact: Opaque('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-280_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Every wumpus is not spicy. Wumpuses are zumpuses. Zumpuses are transparent. Zumpuses are vumpuses. Vumpuses are not bright. Each vumpus is a dumpus. Every dumpus is fruity. Impuses are not metallic. Every dumpus is a yumpus. Yumpuses are metallic. Yumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Spicy($x, False)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Transparent($x, True)\nrule4: Zumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Bright($x, False)\nrule6: Vumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Fruity($x, True)\nrule8: Impus($x, True) → Metallic($x, False)\nrule9: Dumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Metallic($x, True)\nrule11: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Spicy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Bright($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nVumpus('Alex', True)\nDumpus('Alex', True)\nYumpus('Alex', True)\nSpicy('Alex', False)\nTransparent('Alex', True)\nBright('Alex', False)\nFruity('Alex', True)\nMetallic('Alex', True)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Alex', False)\nAccording to the implied fact: Dumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-373_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Each yumpus is earthy. Jompuses are not hot. Each yumpus is a vumpus. Vumpuses are not metallic. Each vumpus is a tumpus. Every tumpus is not transparent. Tumpuses are impuses. Impuses are hot. Impuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Earthy($x, True)\nrule2: Jompus($x, True) → Hot($x, False)\nrule3: Yumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Metallic($x, False)\nrule5: Vumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Transparent($x, False)\nrule7: Tumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Hot($x, True)\nrule9: Impus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Metallic($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Metallic('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Transparent($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nTumpus('Max', True)\nImpus('Max', True)\nEarthy('Max', True)\nMetallic('Max', False)\nTransparent('Max', False)\nHot('Max', True)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', False)\nAccording to the implied fact: Impus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-133_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Each impus is not happy. Impuses are yumpuses. Every yumpus is not floral. Yumpuses are tumpuses. Each tumpus is spicy. Every tumpus is a dumpus. Each vumpus is large. Dumpuses are not large. Dumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Happy($x, False)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Floral($x, False)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Spicy($x, True)\nrule6: Tumpus($x, True) → Dumpus($x, True)\nrule7: Vumpus($x, True) → Large($x, True)\nrule8: Dumpus($x, True) → Large($x, False)\nrule9: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Dumpus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Max', True)\nSpicy('Max', True)\nLarge('Max', False)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Max', True)\nAccording to the implied fact: Numpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-484_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Each yumpus is transparent. Every yumpus is a vumpus. Vumpuses are not feisty. Vumpuses are numpuses. Each numpus is small. Numpuses are tumpuses. Every tumpus is not brown. Jompuses are brown. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Transparent($x, True)\nrule2: Yumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Feisty($x, False)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Small($x, True)\nrule6: Numpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Brown($x, False)\nrule8: Jompus($x, True) → Brown($x, True)\nrule9: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Feisty($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Brown($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nTumpus('Fae', True)\nFeisty('Fae', False)\nSmall('Fae', True)\nBrown('Fae', False)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Fae', True)\nAccording to the implied fact: Brown('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-63_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Each rompus is nervous. Every rompus is a wumpus. Each wumpus is red. Wumpuses are tumpuses. Each tumpus is amenable. Tumpuses are jompuses. Each jompus is floral. Every vumpus is cold. Every jompus is a yumpus. Each yumpus is small. Each yumpus is an impus. Each impus is wooden. Impuses are dumpuses. Dumpuses are not cold. Each dumpus is a zumpus. Zumpuses are sweet. Each zumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Nervous($x, True)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Red($x, True)\nrule4: Wumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Amenable($x, True)\nrule6: Tumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Floral($x, True)\nrule8: Vumpus($x, True) → Cold($x, True)\nrule9: Jompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Small($x, True)\nrule11: Yumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Wooden($x, True)\nrule13: Impus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Cold($x, False)\nrule15: Dumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Sweet($x, True)\nrule17: Zumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Amenable($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Amenable('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Wooden($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Cold($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Sweet($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sweet('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nYumpus('Rex', True)\nImpus('Rex', True)\nDumpus('Rex', True)\nZumpus('Rex', True)\nAmenable('Rex', True)\nFloral('Rex', True)\nSmall('Rex', True)\nWooden('Rex', True)\nCold('Rex', False)\nSweet('Rex', True)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Rex', False)\nAccording to the implied fact: Cold('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-382_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Every zumpus is cold. Zumpuses are tumpuses. Tumpuses are not happy. Tumpuses are dumpuses. Each dumpus is not kind. Each dumpus is a jompus. Jompuses are floral. Each jompus is a rompus. Every rompus is not bright. Rompuses are vumpuses. Vumpuses are wooden. Wumpuses are kind. Vumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Cold($x, True)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Happy($x, False)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Kind($x, False)\nrule6: Dumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Floral($x, True)\nrule8: Jompus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Bright($x, False)\nrule10: Rompus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Wooden($x, True)\nrule12: Wumpus($x, True) → Kind($x, True)\nrule13: Vumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Happy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Kind($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nDumpus('Max', True)\nJompus('Max', True)\nRompus('Max', True)\nVumpus('Max', True)\nHappy('Max', False)\nKind('Max', False)\nFloral('Max', True)\nBright('Max', False)\nWooden('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Max', True)\nAccording to the implied fact: Floral('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-53_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a numpus. Each numpus is spicy. Each numpus is a jompus. Jompuses are happy. Jompuses are rompuses. Rompuses are not cold. Rompuses are dumpuses. Every dumpus is dull. Each wumpus is not dull. Dumpuses are vumpuses. Vumpuses are brown. Every vumpus is a yumpus. Each yumpus is small. Yumpuses are tumpuses. Every tumpus is aggressive. Tumpuses are zumpuses. Zumpuses are metallic. Each zumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Spicy($x, True)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Happy($x, True)\nrule4: Jompus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Cold($x, False)\nrule6: Rompus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Dull($x, True)\nrule8: Wumpus($x, True) → Dull($x, False)\nrule9: Dumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Brown($x, True)\nrule11: Vumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Small($x, True)\nrule13: Yumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Aggressive($x, True)\nrule15: Tumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Metallic($x, True)\nrule17: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Spicy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Cold($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nRompus('Wren', True)\nDumpus('Wren', True)\nVumpus('Wren', True)\nYumpus('Wren', True)\nTumpus('Wren', True)\nZumpus('Wren', True)\nSpicy('Wren', True)\nHappy('Wren', True)\nCold('Wren', False)\nDull('Wren', True)\nBrown('Wren', True)\nSmall('Wren', True)\nAggressive('Wren', True)\nMetallic('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Wren', False)\nAccording to the implied fact: Rompus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-205_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Rompuses are orange. Rompuses are yumpuses. Each yumpus is dull. Yumpuses are tumpuses. Every tumpus is hot. Tumpuses are impuses. Impuses are nervous. Each impus is a zumpus. Zumpuses are not floral. Every zumpus is a vumpus. Every vumpus is not large. Each jompus is not kind. Vumpuses are numpuses. Numpuses are kind. Every numpus is a wumpus. Wumpuses are sweet. Wumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Orange($x, True)\nrule2: Rompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Dull($x, True)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Hot($x, True)\nrule6: Tumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Nervous($x, True)\nrule8: Impus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Floral($x, False)\nrule10: Zumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Large($x, False)\nrule12: Jompus($x, True) → Kind($x, False)\nrule13: Vumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Kind($x, True)\nrule15: Numpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Sweet($x, True)\nrule17: Wumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Numpus($x, True) → Kind($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nKind('Fae', True)\nSweet('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Fae', True)\nAccording to the known fact: Numpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-463_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Tumpuses are earthy. Tumpuses are dumpuses. Dumpuses are wooden. Each dumpus is a jompus. Jompuses are spicy. Every jompus is a wumpus. Every numpus is red. Wumpuses are large. Wumpuses are zumpuses. Zumpuses are not red. Zumpuses are vumpuses. Vumpuses are not shy. Vumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Earthy($x, True)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Wooden($x, True)\nrule4: Dumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Spicy($x, True)\nrule6: Jompus($x, True) → Wumpus($x, True)\nrule7: Numpus($x, True) → Red($x, True)\nrule8: Wumpus($x, True) → Large($x, True)\nrule9: Wumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Red($x, False)\nrule11: Zumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Shy($x, False)\nrule13: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Wooden($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Spicy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Wumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Red($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Red('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Shy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nWumpus('Sally', True)\nZumpus('Sally', True)\nVumpus('Sally', True)\nWooden('Sally', True)\nSpicy('Sally', True)\nLarge('Sally', True)\nRed('Sally', False)\nShy('Sally', False)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sally', False)\nAccording to the implied fact: Jompus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-183_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Vumpuses are small. Vumpuses are numpuses. Numpuses are earthy. Numpuses are jompuses. Jompuses are not opaque. Jompuses are dumpuses. Every dumpus is dull. Every dumpus is a yumpus. Impuses are not earthy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Small($x, True)\nrule2: Vumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Earthy($x, True)\nrule4: Numpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Opaque($x, False)\nrule6: Jompus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Dull($x, True)\nrule8: Dumpus($x, True) → Yumpus($x, True)\nrule9: Impus($x, True) → Earthy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nJompus('Fae', True)\nDumpus('Fae', True)\nSmall('Fae', True)\nEarthy('Fae', True)\nOpaque('Fae', False)\nDull('Fae', True)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Fae', False)\nAccording to the implied fact: Earthy('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-354_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Dumpuses are not bright. Every dumpus is a numpus. Each numpus is spicy. Numpuses are rompuses. Every rompus is happy. Rompuses are zumpuses. Zumpuses are not large. Zumpuses are yumpuses. Yumpuses are not opaque. Every yumpus is a jompus. Each jompus is not wooden. Impuses are not fruity. Each jompus is a tumpus. Every tumpus is fruity. Every tumpus is a wumpus. Wumpuses are brown. Wumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Bright($x, False)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Spicy($x, True)\nrule4: Numpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Happy($x, True)\nrule6: Rompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Large($x, False)\nrule8: Zumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Opaque($x, False)\nrule10: Yumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Wooden($x, False)\nrule12: Impus($x, True) → Fruity($x, False)\nrule13: Jompus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Fruity($x, True)\nrule15: Tumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Brown($x, True)\nrule17: Wumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nFruity('Alex', True)\nBrown('Alex', True)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Alex', False)\nAccording to the implied fact: Fruity('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-121_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Numpuses are not kind. Each tumpus is not earthy. Numpuses are yumpuses. Each yumpus is transparent. Yumpuses are rompuses. Rompuses are earthy. Rompuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Kind($x, False)\nrule2: Tumpus($x, True) → Earthy($x, False)\nrule3: Numpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Transparent($x, True)\nrule5: Yumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Earthy($x, True)\nrule7: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Kind($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nRompus('Polly', True)\nKind('Polly', False)\nTransparent('Polly', True)\nEarthy('Polly', True)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Polly', False)\nAccording to the implied fact: Transparent('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-205_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Vumpuses are not liquid. Rompuses are not small. Every vumpus is a dumpus. Each dumpus is small. Every dumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Liquid($x, False)\nrule2: Rompus($x, True) → Small($x, False)\nrule3: Vumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Small($x, True)\nrule5: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Dumpus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nSmall('Fae', True)\nNumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Fae', True)\nAccording to the implied fact: Numpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-319_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Each impus is hot. Vumpuses are not small. Every impus is a tumpus. Tumpuses are dull. Tumpuses are zumpuses. Every zumpus is not bitter. Zumpuses are rompuses. Rompuses are small. Rompuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Hot($x, True)\nrule2: Vumpus($x, True) → Small($x, False)\nrule3: Impus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Dull($x, True)\nrule5: Tumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Bitter($x, False)\nrule7: Zumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Small($x, True)\nrule9: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Rompus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nSmall('Wren', True)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Wren', False)\nAccording to the known fact: Rompus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-345_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Every wumpus is not metallic. Wumpuses are numpuses. Each numpus is kind. Every numpus is a yumpus. Yumpuses are bright. Yumpuses are vumpuses. Vumpuses are blue. Each impus is large. Every vumpus is a rompus. Each rompus is earthy. Rompuses are zumpuses. Zumpuses are not feisty. Zumpuses are jompuses. Every jompus is spicy. Jompuses are dumpuses. Dumpuses are not large. Every dumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Metallic($x, False)\nrule2: Wumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Kind($x, True)\nrule4: Numpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Bright($x, True)\nrule6: Yumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Blue($x, True)\nrule8: Impus($x, True) → Large($x, True)\nrule9: Vumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Earthy($x, True)\nrule11: Rompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Feisty($x, False)\nrule13: Zumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Spicy($x, True)\nrule15: Jompus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Large($x, False)\nrule17: Dumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Rompus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Feisty($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Large($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nJompus('Sam', True)\nDumpus('Sam', True)\nEarthy('Sam', True)\nFeisty('Sam', False)\nSpicy('Sam', True)\nLarge('Sam', False)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', True)\nAccording to the known fact: Rompus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-459_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Each impus is kind. Impuses are jompuses. Every jompus is hot. Jompuses are tumpuses. Each tumpus is happy. Tumpuses are rompuses. Each rompus is metallic. Each rompus is a yumpus. Dumpuses are not metallic.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMetallic($x, bool) ::: Is x metallic?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Kind($x, True)\nrule2: Impus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Hot($x, True)\nrule4: Jompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Happy($x, True)\nrule6: Tumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Metallic($x, True)\nrule8: Rompus($x, True) → Yumpus($x, True)\nrule9: Dumpus($x, True) → Metallic($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Kind($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Metallic($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nTumpus('Alex', True)\nRompus('Alex', True)\nKind('Alex', True)\nHot('Alex', True)\nHappy('Alex', True)\nMetallic('Alex', True)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', True)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-65_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Every vumpus is metallic. Vumpuses are jompuses. Every jompus is opaque. Jompuses are yumpuses. Each yumpus is angry. Yumpuses are dumpuses. Dumpuses are not red. Dumpuses are rompuses. Rompuses are feisty. Every rompus is a zumpus. Zumpuses are fruity. Each zumpus is a wumpus. Wumpuses are bright. Wumpuses are impuses. Numpuses are red. Impuses are not large. Impuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Metallic($x, True)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Opaque($x, True)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Angry($x, True)\nrule6: Yumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Red($x, False)\nrule8: Dumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Feisty($x, True)\nrule10: Rompus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Fruity($x, True)\nrule12: Zumpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Bright($x, True)\nrule14: Wumpus($x, True) → Impus($x, True)\nrule15: Numpus($x, True) → Red($x, True)\nrule16: Impus($x, True) → Large($x, False)\nrule17: Impus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Angry('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Red($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Impus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Rex', True)\nRompus('Rex', True)\nZumpus('Rex', True)\nWumpus('Rex', True)\nImpus('Rex', True)\nAngry('Rex', True)\nRed('Rex', False)\nFeisty('Rex', True)\nFruity('Rex', True)\nBright('Rex', True)\nLarge('Rex', False)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Rex', True)\nAccording to the implied fact: Impus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-428_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Wumpuses are feisty. Wumpuses are impuses. Each impus is floral. Impuses are zumpuses. Every zumpus is not transparent. Zumpuses are rompuses. Rompuses are bright. Rompuses are yumpuses. Every numpus is not bright. Yumpuses are small. Yumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Feisty($x, True)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Floral($x, True)\nrule4: Impus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Transparent($x, False)\nrule6: Zumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Bright($x, True)\nrule8: Rompus($x, True) → Yumpus($x, True)\nrule9: Numpus($x, True) → Bright($x, False)\nrule10: Yumpus($x, True) → Small($x, True)\nrule11: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Floral($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Yumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Sally', True)\nRompus('Sally', True)\nYumpus('Sally', True)\nFloral('Sally', True)\nTransparent('Sally', False)\nBright('Sally', True)\nSmall('Sally', True)\nJompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', False)\nAccording to the known fact: Impus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-130_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Wumpuses are not bright. Each wumpus is a yumpus. Yumpuses are red. Each rompus is not floral. Each yumpus is a zumpus. Every zumpus is floral. Zumpuses are impuses. Every impus is transparent. Impuses are vumpuses. Vumpuses are wooden. Each vumpus is a jompus. Each jompus is not happy. Jompuses are tumpuses. Every tumpus is not temperate. Tumpuses are numpuses. Each numpus is small. Every numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Bright($x, False)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Red($x, True)\nrule4: Rompus($x, True) → Floral($x, False)\nrule5: Yumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Floral($x, True)\nrule7: Zumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Transparent($x, True)\nrule9: Impus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Wooden($x, True)\nrule11: Vumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Happy($x, False)\nrule13: Jompus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Temperate($x, False)\nrule15: Tumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Small($x, True)\nrule17: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Red($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Red('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Happy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Temperate($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nZumpus('Max', True)\nImpus('Max', True)\nVumpus('Max', True)\nJompus('Max', True)\nTumpus('Max', True)\nNumpus('Max', True)\nBright('Max', False)\nRed('Max', True)\nFloral('Max', True)\nTransparent('Max', True)\nWooden('Max', True)\nHappy('Max', False)\nTemperate('Max', False)\nSmall('Max', True)\nDumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Max', False)\nAccording to the implied fact: Yumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-136_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Each vumpus is not blue. Vumpuses are dumpuses. Every dumpus is not hot. Each dumpus is a rompus. Each rompus is transparent. Rompuses are impuses. Every impus is luminous. Each impus is a wumpus. Every wumpus is not earthy. Tumpuses are earthy. Wumpuses are yumpuses. Yumpuses are dull. Every yumpus is a zumpus. Every zumpus is bitter. Each zumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Blue($x, False)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Hot($x, False)\nrule4: Dumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Transparent($x, True)\nrule6: Rompus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Luminous($x, True)\nrule8: Impus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Earthy($x, False)\nrule10: Tumpus($x, True) → Earthy($x, True)\nrule11: Wumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Dull($x, True)\nrule13: Yumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Bitter($x, True)\nrule15: Zumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Impus($x, True) → Luminous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nYumpus('Sally', True)\nZumpus('Sally', True)\nLuminous('Sally', True)\nEarthy('Sally', False)\nDull('Sally', True)\nBitter('Sally', True)\nNumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Sally', True)\nAccording to the implied fact: Dull('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-11_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a rompus. Numpuses are floral. Numpuses are yumpuses. Every yumpus is not spicy. Every yumpus is a rompus. Each rompus is brown. Rompuses are wumpuses. Every wumpus is nervous. Every wumpus is a zumpus. Vumpuses are not nervous.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nRompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Floral($x, True)\nrule2: Numpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Spicy($x, False)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Brown($x, True)\nrule6: Rompus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Nervous($x, True)\nrule8: Wumpus($x, True) → Zumpus($x, True)\nrule9: Vumpus($x, True) → Nervous($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nBrown('Stella', True)\nNervous('Stella', True)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', True)\nAccording to the implied fact: Zumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-340_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Every numpus is blue. Numpuses are wumpuses. Each wumpus is opaque. Each wumpus is a tumpus. Every tumpus is sweet. Tumpuses are impuses. Each impus is floral. Impuses are rompuses. Every rompus is not liquid. Rompuses are vumpuses. Dumpuses are not floral.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Blue($x, True)\nrule2: Numpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Opaque($x, True)\nrule4: Wumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Sweet($x, True)\nrule6: Tumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Floral($x, True)\nrule8: Impus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Liquid($x, False)\nrule10: Rompus($x, True) → Vumpus($x, True)\nrule11: Dumpus($x, True) → Floral($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Sweet($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sweet('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Liquid($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nTumpus('Rex', True)\nImpus('Rex', True)\nRompus('Rex', True)\nBlue('Rex', True)\nOpaque('Rex', True)\nSweet('Rex', True)\nFloral('Rex', True)\nLiquid('Rex', False)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Rex', True)\nAccording to the implied fact: Blue('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-127_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Yumpuses are metallic. Every yumpus is a zumpus. Each zumpus is hot. Zumpuses are tumpuses. Tumpuses are aggressive. Tumpuses are jompuses. Every jompus is small. Each jompus is a dumpus. Each vumpus is not aggressive. Dumpuses are spicy. Each dumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Metallic($x, True)\nrule2: Yumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Hot($x, True)\nrule4: Zumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Aggressive($x, True)\nrule6: Tumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Small($x, True)\nrule8: Jompus($x, True) → Dumpus($x, True)\nrule9: Vumpus($x, True) → Aggressive($x, False)\nrule10: Dumpus($x, True) → Spicy($x, True)\nrule11: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nJompus('Sally', True)\nDumpus('Sally', True)\nHot('Sally', True)\nAggressive('Sally', True)\nSmall('Sally', True)\nSpicy('Sally', True)\nNumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Sally', True)\nAccording to the implied fact: Small('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-314_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Each dumpus is earthy. Dumpuses are jompuses. Jompuses are bitter. Jompuses are rompuses. Rompuses are large. Tumpuses are not large. Each rompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Earthy($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Bitter($x, True)\nrule4: Jompus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Large($x, True)\nrule6: Tumpus($x, True) → Large($x, False)\nrule7: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Bitter($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bitter('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nRompus('Max', True)\nEarthy('Max', True)\nBitter('Max', True)\nLarge('Max', True)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Max', False)\nAccording to the implied fact: Earthy('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-206_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Each yumpus is not opaque. Each yumpus is an impus. Each impus is small. Impuses are vumpuses. Vumpuses are spicy. Vumpuses are wumpuses. Wumpuses are nervous. Wumpuses are zumpuses. Every zumpus is not mean. Each zumpus is a dumpus. Dumpuses are not floral. Dumpuses are tumpuses. Tumpuses are temperate. Each tumpus is a numpus. Each numpus is bright. Numpuses are jompuses. Rompuses are floral.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Opaque($x, False)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Small($x, True)\nrule4: Impus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Spicy($x, True)\nrule6: Vumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Nervous($x, True)\nrule8: Wumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Mean($x, False)\nrule10: Zumpus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Floral($x, False)\nrule12: Dumpus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Temperate($x, True)\nrule14: Tumpus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Bright($x, True)\nrule16: Numpus($x, True) → Jompus($x, True)\nrule17: Rompus($x, True) → Floral($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Mean($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nZumpus('Wren', True)\nDumpus('Wren', True)\nTumpus('Wren', True)\nNumpus('Wren', True)\nSpicy('Wren', True)\nNervous('Wren', True)\nMean('Wren', False)\nFloral('Wren', False)\nTemperate('Wren', True)\nBright('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Wren', True)\nAccording to the implied fact: Floral('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-341_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a dumpus. Dumpuses are not shy. Dumpuses are numpuses. Each numpus is bitter. Each numpus is a wumpus. Jompuses are shy. Wumpuses are angry. Wumpuses are tumpuses. Each tumpus is red. Every tumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Shy($x, False)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Bitter($x, True)\nrule4: Numpus($x, True) → Wumpus($x, True)\nrule5: Jompus($x, True) → Shy($x, True)\nrule6: Wumpus($x, True) → Angry($x, True)\nrule7: Wumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Red($x, True)\nrule9: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Shy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Bitter($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bitter('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Wumpus($x, True) → Angry($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Angry('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Red($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Stella', True)\nWumpus('Stella', True)\nTumpus('Stella', True)\nShy('Stella', False)\nBitter('Stella', True)\nAngry('Stella', True)\nRed('Stella', True)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is shy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nShy('Stella', True)\nAccording to the implied fact: Shy('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-234_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a dumpus. Every vumpus is large. Vumpuses are numpuses. Each numpus is not cold. Each numpus is a dumpus. Each dumpus is earthy. Dumpuses are yumpuses. Yumpuses are not blue. Each yumpus is a jompus. Jompuses are not sweet. Jompuses are rompuses. Rompuses are kind. Rompuses are wumpuses. Wumpuses are not opaque. Each wumpus is a tumpus. Tumpuses are bright. Each tumpus is a zumpus. Every impus is sweet.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Large($x, True)\nrule2: Vumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Cold($x, False)\nrule4: Numpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Earthy($x, True)\nrule6: Dumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Blue($x, False)\nrule8: Yumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Sweet($x, False)\nrule10: Jompus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Kind($x, True)\nrule12: Rompus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Opaque($x, False)\nrule14: Wumpus($x, True) → Tumpus($x, True)\nrule15: Tumpus($x, True) → Bright($x, True)\nrule16: Tumpus($x, True) → Zumpus($x, True)\nrule17: Impus($x, True) → Sweet($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Blue($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Sweet($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Kind($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nJompus('Alex', True)\nRompus('Alex', True)\nWumpus('Alex', True)\nTumpus('Alex', True)\nEarthy('Alex', True)\nBlue('Alex', False)\nSweet('Alex', False)\nKind('Alex', True)\nOpaque('Alex', False)\nBright('Alex', True)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Alex', True)\nAccording to the implied fact: Earthy('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-347_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Every yumpus is opaque. Yumpuses are tumpuses. Tumpuses are bright. Every tumpus is a numpus. Wumpuses are not bright. Numpuses are happy. Numpuses are zumpuses. Each zumpus is amenable. Zumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Opaque($x, True)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Bright($x, True)\nrule4: Tumpus($x, True) → Numpus($x, True)\nrule5: Wumpus($x, True) → Bright($x, False)\nrule6: Numpus($x, True) → Happy($x, True)\nrule7: Numpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Amenable($x, True)\nrule9: Zumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Numpus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Amenable($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nNumpus('Sam', True)\nZumpus('Sam', True)\nOpaque('Sam', True)\nBright('Sam', True)\nHappy('Sam', True)\nAmenable('Sam', True)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Sam', False)\nAccording to the known fact: Yumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-339_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Each numpus is not happy. Numpuses are dumpuses. Each dumpus is not kind. Each dumpus is an impus. Impuses are not small. Each impus is a yumpus. Yumpuses are red. Yumpuses are zumpuses. Zumpuses are opaque. Zumpuses are wumpuses. Each wumpus is fruity. Wumpuses are rompuses. Rompuses are not hot. Every rompus is a tumpus. Jompuses are hot. Tumpuses are not bright. Each tumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Happy($x, False)\nrule2: Numpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Kind($x, False)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Small($x, False)\nrule6: Impus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Red($x, True)\nrule8: Yumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Opaque($x, True)\nrule10: Zumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Fruity($x, True)\nrule12: Wumpus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Hot($x, False)\nrule14: Rompus($x, True) → Tumpus($x, True)\nrule15: Jompus($x, True) → Hot($x, True)\nrule16: Tumpus($x, True) → Bright($x, False)\nrule17: Tumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Wumpus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Hot($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Tumpus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nTumpus('Wren', True)\nFruity('Wren', True)\nHot('Wren', False)\nBright('Wren', False)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Wren', False)\nAccording to the implied fact: Vumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-279_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Jompuses are sweet. Each yumpus is not nervous. Jompuses are tumpuses. Every tumpus is bright. Every tumpus is a vumpus. Every vumpus is nervous. Vumpuses are dumpuses. Dumpuses are not opaque. Every dumpus is a zumpus. Zumpuses are floral. Each zumpus is an impus. Impuses are not temperate. Every impus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Sweet($x, True)\nrule2: Yumpus($x, True) → Nervous($x, False)\nrule3: Jompus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Bright($x, True)\nrule5: Tumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Nervous($x, True)\nrule7: Vumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Opaque($x, False)\nrule9: Dumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Floral($x, True)\nrule11: Zumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Temperate($x, False)\nrule13: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Sweet($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Temperate($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nVumpus('Sam', True)\nDumpus('Sam', True)\nZumpus('Sam', True)\nImpus('Sam', True)\nSweet('Sam', True)\nBright('Sam', True)\nNervous('Sam', True)\nOpaque('Sam', False)\nFloral('Sam', True)\nTemperate('Sam', False)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sam', False)\nAccording to the implied fact: Dumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-463_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Each numpus is not temperate. Each numpus is a vumpus. Each vumpus is not opaque. Vumpuses are wumpuses. Wumpuses are not wooden. Every wumpus is an impus. Impuses are not earthy. Impuses are tumpuses. Tumpuses are kind. Each tumpus is a dumpus. Each dumpus is large. Every dumpus is a zumpus. Zumpuses are not bitter. Zumpuses are jompuses. Jompuses are happy. Each jompus is a yumpus. Rompuses are earthy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nKind($x, bool) ::: Is x kind?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Temperate($x, False)\nrule2: Numpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Opaque($x, False)\nrule4: Vumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Wooden($x, False)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Earthy($x, False)\nrule8: Impus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Kind($x, True)\nrule10: Tumpus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Large($x, True)\nrule12: Dumpus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Bitter($x, False)\nrule14: Zumpus($x, True) → Jompus($x, True)\nrule15: Jompus($x, True) → Happy($x, True)\nrule16: Jompus($x, True) → Yumpus($x, True)\nrule17: Rompus($x, True) → Earthy($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Temperate($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Opaque($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Kind($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Kind('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Bitter($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nWumpus('Sally', True)\nImpus('Sally', True)\nTumpus('Sally', True)\nDumpus('Sally', True)\nZumpus('Sally', True)\nJompus('Sally', True)\nTemperate('Sally', False)\nOpaque('Sally', False)\nWooden('Sally', False)\nEarthy('Sally', False)\nKind('Sally', True)\nLarge('Sally', True)\nBitter('Sally', False)\nHappy('Sally', True)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sally', False)\nAccording to the implied fact: Wumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-193_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Tumpuses are earthy. Rompuses are not earthy. Each rompus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Earthy($x, True)\nrule2: Rompus($x, True) → Earthy($x, False)\nrule3: Rompus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Rompus($x, True) → Earthy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nEarthy('Fae', False)\nZumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Fae', True)\nAccording to the known fact: Rompus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-100_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Rompuses are dull. Every rompus is a vumpus. Each vumpus is not red. Each vumpus is a numpus. Each numpus is sour. Numpuses are yumpuses. Yumpuses are opaque. Every zumpus is cold. Yumpuses are tumpuses. Tumpuses are not cold. Tumpuses are dumpuses. Each dumpus is feisty. Each dumpus is a jompus. Jompuses are small. Jompuses are wumpuses. Every wumpus is mean. Wumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Dull($x, True)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Red($x, False)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Sour($x, True)\nrule6: Numpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Opaque($x, True)\nrule8: Zumpus($x, True) → Cold($x, True)\nrule9: Yumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Cold($x, False)\nrule11: Tumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Feisty($x, True)\nrule13: Dumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Small($x, True)\nrule15: Jompus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Mean($x, True)\nrule17: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Cold($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Feisty($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Feisty('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Mean($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Mean('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nTumpus('Sally', True)\nDumpus('Sally', True)\nJompus('Sally', True)\nWumpus('Sally', True)\nSour('Sally', True)\nOpaque('Sally', True)\nCold('Sally', False)\nFeisty('Sally', True)\nSmall('Sally', True)\nMean('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sally', False)\nAccording to the known fact: Numpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-246_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Every vumpus is aggressive. Vumpuses are rompuses. Rompuses are temperate. Every rompus is a wumpus. Each wumpus is sour. Every wumpus is a numpus. Every numpus is metallic. Every numpus is a tumpus. Tumpuses are not orange. Tumpuses are impuses. Every impus is opaque. Impuses are dumpuses. Every dumpus is not fruity. Each dumpus is a zumpus. Zumpuses are not feisty. Each zumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Aggressive($x, True)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Temperate($x, True)\nrule4: Rompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Sour($x, True)\nrule6: Wumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Metallic($x, True)\nrule8: Numpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Orange($x, False)\nrule10: Tumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Opaque($x, True)\nrule12: Impus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Fruity($x, False)\nrule14: Dumpus($x, True) → Zumpus($x, True)\nrule15: Zumpus($x, True) → Feisty($x, False)\nrule16: Zumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Aggressive($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Metallic($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Metallic('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Orange($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Feisty($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nWumpus('Fae', True)\nNumpus('Fae', True)\nTumpus('Fae', True)\nImpus('Fae', True)\nDumpus('Fae', True)\nZumpus('Fae', True)\nAggressive('Fae', True)\nTemperate('Fae', True)\nSour('Fae', True)\nMetallic('Fae', True)\nOrange('Fae', False)\nOpaque('Fae', True)\nFruity('Fae', False)\nFeisty('Fae', False)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', True)\nAccording to the known fact: Vumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-460_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a tumpus. Every tumpus is large. Tumpuses are jompuses. Jompuses are liquid. Each jompus is a dumpus. Every impus is not liquid.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Large($x, True)\nrule2: Tumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Liquid($x, True)\nrule4: Jompus($x, True) → Dumpus($x, True)\nrule5: Impus($x, True) → Liquid($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nLarge('Sally', True)\nLiquid('Sally', True)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Sally', True)\nAccording to the implied fact: Liquid('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-195_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a rompus. Rompuses are bright. Vumpuses are fruity. Each rompus is a yumpus. Yumpuses are not fruity. Yumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, True)\nrule2: Vumpus($x, True) → Fruity($x, True)\nrule3: Rompus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Fruity($x, False)\nrule5: Yumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Fruity($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nBright('Sally', True)\nFruity('Sally', False)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Sally', False)\nAccording to the implied fact: Bright('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-358_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Every jompus is liquid. Rompuses are floral. Every jompus is a wumpus. Wumpuses are not floral. Each wumpus is a vumpus. Each vumpus is bitter. Each vumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Liquid($x, True)\nrule2: Rompus($x, True) → Floral($x, True)\nrule3: Jompus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Floral($x, False)\nrule5: Wumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Bitter($x, True)\nrule7: Vumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Liquid($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Floral($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nVumpus('Rex', True)\nLiquid('Rex', True)\nFloral('Rex', False)\nBitter('Rex', True)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Rex', False)\nAccording to the implied fact: Numpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-143_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Every tumpus is amenable. Every zumpus is not transparent. Tumpuses are impuses. Impuses are transparent. Impuses are numpuses. Every numpus is happy. Each numpus is a rompus. Every rompus is floral. Every rompus is a yumpus. Yumpuses are red. Yumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Amenable($x, True)\nrule2: Zumpus($x, True) → Transparent($x, False)\nrule3: Tumpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Transparent($x, True)\nrule5: Impus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Happy($x, True)\nrule7: Numpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Floral($x, True)\nrule9: Rompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Red($x, True)\nrule11: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Impus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Sam', True)\nRompus('Sam', True)\nYumpus('Sam', True)\nTransparent('Sam', True)\nHappy('Sam', True)\nFloral('Sam', True)\nRed('Sam', True)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Sam', True)\nAccording to the implied fact: Red('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-59_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is an impus. Yumpuses are spicy. Every yumpus is a dumpus. Each dumpus is nervous. Every dumpus is an impus. Zumpuses are not dull. Impuses are brown. Every impus is a jompus. Jompuses are dull. Every jompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nBrown($x, bool) ::: Is x brown?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Spicy($x, True)\nrule2: Yumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Nervous($x, True)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Zumpus($x, True) → Dull($x, False)\nrule6: Impus($x, True) → Brown($x, True)\nrule7: Impus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Dull($x, True)\nrule9: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Impus($x, True) → Brown($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Brown('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nBrown('Rex', True)\nDull('Rex', True)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Rex', False)\nAccording to the known fact: Impus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-403_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Each yumpus is dull. Each yumpus is an impus. Impuses are mean. Every impus is a tumpus. Every tumpus is cold. Tumpuses are wumpuses. Every zumpus is not brown. Every wumpus is brown. Wumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nMean($x, bool) ::: Is x mean?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Dull($x, True)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Mean($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Cold($x, True)\nrule6: Tumpus($x, True) → Wumpus($x, True)\nrule7: Zumpus($x, True) → Brown($x, False)\nrule8: Wumpus($x, True) → Brown($x, True)\nrule9: Wumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nCold('Alex', True)\nBrown('Alex', True)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Alex', True)\nAccording to the implied fact: Cold('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-64_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Every wumpus is dull. Wumpuses are zumpuses. Every zumpus is opaque. Zumpuses are tumpuses. Tumpuses are not fruity. Tumpuses are yumpuses. Yumpuses are hot. Yumpuses are vumpuses. Vumpuses are not nervous. Each numpus is fruity. Each vumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Dull($x, True)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Opaque($x, True)\nrule4: Zumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Fruity($x, False)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Hot($x, True)\nrule8: Yumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Nervous($x, False)\nrule10: Numpus($x, True) → Fruity($x, True)\nrule11: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Fruity($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Nervous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nYumpus('Alex', True)\nVumpus('Alex', True)\nOpaque('Alex', True)\nFruity('Alex', False)\nHot('Alex', True)\nNervous('Alex', False)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Alex', True)\nAccording to the implied fact: Jompus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-115_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Wumpuses are aggressive. Wumpuses are vumpuses. Zumpuses are sweet. Vumpuses are cold. Vumpuses are tumpuses. Each tumpus is not sweet. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Aggressive($x, True)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Zumpus($x, True) → Sweet($x, True)\nrule4: Vumpus($x, True) → Cold($x, True)\nrule5: Vumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Sweet($x, False)\nrule7: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Vumpus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Sweet($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nTumpus('Wren', True)\nAggressive('Wren', True)\nCold('Wren', True)\nSweet('Wren', False)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Wren', True)\nAccording to the implied fact: Dumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-147_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Rompuses are transparent. Every rompus is a vumpus. Vumpuses are not floral. Each yumpus is luminous. Vumpuses are zumpuses. Zumpuses are dull. Each zumpus is a tumpus. Each tumpus is not luminous. Every tumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Transparent($x, True)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Floral($x, False)\nrule4: Yumpus($x, True) → Luminous($x, True)\nrule5: Vumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Dull($x, True)\nrule7: Zumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Luminous($x, False)\nrule9: Tumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Floral($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Luminous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nVumpus('Alex', True)\nZumpus('Alex', True)\nTumpus('Alex', True)\nTransparent('Alex', True)\nFloral('Alex', False)\nDull('Alex', True)\nLuminous('Alex', False)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Alex', True)\nAccording to the implied fact: Floral('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-418_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a vumpus. Each vumpus is small. Every vumpus is an impus. Impuses are kind. Every impus is a dumpus. Dumpuses are liquid. Every dumpus is a numpus. Every zumpus is not transparent. Numpuses are transparent. Numpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nKind($x, bool) ::: Is x kind?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Small($x, True)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Kind($x, True)\nrule4: Impus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Liquid($x, True)\nrule6: Dumpus($x, True) → Numpus($x, True)\nrule7: Zumpus($x, True) → Transparent($x, False)\nrule8: Numpus($x, True) → Transparent($x, True)\nrule9: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Liquid($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nDumpus('Rex', True)\nNumpus('Rex', True)\nSmall('Rex', True)\nKind('Rex', True)\nLiquid('Rex', True)\nTransparent('Rex', True)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Rex', False)\nAccording to the implied fact: Impus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-76_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Every dumpus is not transparent. Dumpuses are numpuses. Wumpuses are not feisty. Each numpus is fruity. Each numpus is a tumpus. Tumpuses are not metallic. Each tumpus is a jompus. Jompuses are large. Jompuses are rompuses. Rompuses are feisty. Rompuses are vumpuses. Vumpuses are red. Vumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Transparent($x, False)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Wumpus($x, True) → Feisty($x, False)\nrule4: Numpus($x, True) → Fruity($x, True)\nrule5: Numpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Metallic($x, False)\nrule7: Tumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Large($x, True)\nrule9: Jompus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Feisty($x, True)\nrule11: Rompus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Red($x, True)\nrule13: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Metallic($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Large($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Red($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nJompus('Stella', True)\nRompus('Stella', True)\nVumpus('Stella', True)\nFruity('Stella', True)\nMetallic('Stella', False)\nLarge('Stella', True)\nFeisty('Stella', True)\nRed('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Stella', True)\nAccording to the known fact: Numpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-338_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Every impus is earthy. Each impus is a rompus. Every rompus is blue. Every rompus is a tumpus. Tumpuses are large. Every tumpus is a wumpus. Each wumpus is aggressive. Each jompus is hot. Each wumpus is a zumpus. Every zumpus is not sour. Zumpuses are dumpuses. Every dumpus is not hot. Every dumpus is a vumpus. Each vumpus is dull. Vumpuses are numpuses. Every numpus is feisty. Every numpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSour($x, bool) ::: Is x sour?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Earthy($x, True)\nrule2: Impus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Blue($x, True)\nrule4: Rompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Large($x, True)\nrule6: Tumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Aggressive($x, True)\nrule8: Jompus($x, True) → Hot($x, True)\nrule9: Wumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Sour($x, False)\nrule11: Zumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Hot($x, False)\nrule13: Dumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Dull($x, True)\nrule15: Vumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Feisty($x, True)\nrule17: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Sour($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Hot($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Max', True)\nZumpus('Max', True)\nDumpus('Max', True)\nVumpus('Max', True)\nNumpus('Max', True)\nLarge('Max', True)\nAggressive('Max', True)\nSour('Max', False)\nHot('Max', False)\nDull('Max', True)\nFeisty('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Max', True)\nAccording to the implied fact: Sour('Max', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-59_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Every numpus is large. Numpuses are dumpuses. Vumpuses are not orange. Each dumpus is orange. Every dumpus is a zumpus. Every zumpus is dull. Zumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Large($x, True)\nrule2: Numpus($x, True) → Dumpus($x, True)\nrule3: Vumpus($x, True) → Orange($x, False)\nrule4: Dumpus($x, True) → Orange($x, True)\nrule5: Dumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Dull($x, True)\nrule7: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nOrange('Fae', True)\nDull('Fae', True)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Fae', True)\nAccording to the known fact: Dumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-29_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Jompuses are not transparent. Jompuses are vumpuses. Vumpuses are brown. Every vumpus is a dumpus. Dumpuses are angry. Dumpuses are wumpuses. Each rompus is small. Wumpuses are not small. Every wumpus is a zumpus. Zumpuses are fruity. Zumpuses are impuses. Every impus is temperate. Every impus is a yumpus. Yumpuses are bright. Every yumpus is a tumpus. Every tumpus is shy. Tumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Transparent($x, False)\nrule2: Jompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Brown($x, True)\nrule4: Vumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Angry($x, True)\nrule6: Dumpus($x, True) → Wumpus($x, True)\nrule7: Rompus($x, True) → Small($x, True)\nrule8: Wumpus($x, True) → Small($x, False)\nrule9: Wumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Fruity($x, True)\nrule11: Zumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Temperate($x, True)\nrule13: Impus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Bright($x, True)\nrule15: Yumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Shy($x, True)\nrule17: Tumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Transparent($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Brown($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Angry($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Angry('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Wumpus($x, True) → Small($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nDumpus('Sally', True)\nWumpus('Sally', True)\nZumpus('Sally', True)\nImpus('Sally', True)\nYumpus('Sally', True)\nTumpus('Sally', True)\nTransparent('Sally', False)\nBrown('Sally', True)\nAngry('Sally', True)\nSmall('Sally', False)\nFruity('Sally', True)\nTemperate('Sally', True)\nBright('Sally', True)\nShy('Sally', True)\nNumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Sally', False)\nAccording to the implied fact: Fruity('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-489_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Tumpuses are angry. Zumpuses are liquid. Zumpuses are rompuses. Every rompus is nervous. Each rompus is a wumpus. Every wumpus is small. Each wumpus is an impus. Impuses are not angry. Impuses are vumpuses. Vumpuses are not floral. Vumpuses are numpuses. Every numpus is temperate. Every numpus is a jompus. Every jompus is sour. Jompuses are yumpuses. Each yumpus is not brown. Yumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Angry($x, True)\nrule2: Zumpus($x, True) → Liquid($x, True)\nrule3: Zumpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Nervous($x, True)\nrule5: Rompus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Small($x, True)\nrule7: Wumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Angry($x, False)\nrule9: Impus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Floral($x, False)\nrule11: Vumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Temperate($x, True)\nrule13: Numpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Sour($x, True)\nrule15: Jompus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Brown($x, False)\nrule17: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Rompus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Angry($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Floral($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Temperate($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Sour($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Brown($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Brown('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nImpus('Sam', True)\nVumpus('Sam', True)\nNumpus('Sam', True)\nJompus('Sam', True)\nYumpus('Sam', True)\nNervous('Sam', True)\nSmall('Sam', True)\nAngry('Sam', False)\nFloral('Sam', False)\nTemperate('Sam', True)\nSour('Sam', True)\nBrown('Sam', False)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sam', True)\nAccording to the implied fact: Impus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-324_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Zumpuses are earthy. Zumpuses are yumpuses. Each wumpus is not earthy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Earthy($x, True)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Wumpus($x, True) → Earthy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nEarthy('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Max', True)\nAccording to the known fact: Zumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-443_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Tumpuses are feisty. Every tumpus is a vumpus. Every vumpus is not bright. Each vumpus is a rompus. Rompuses are brown. Rompuses are impuses. Impuses are sour. Every impus is a zumpus. Zumpuses are aggressive. Each zumpus is a wumpus. Each wumpus is not temperate. Every wumpus is a numpus. Every numpus is earthy. Numpuses are dumpuses. Dumpuses are opaque. Dumpuses are yumpuses. Jompuses are bright.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Feisty($x, True)\nrule2: Tumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Bright($x, False)\nrule4: Vumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Brown($x, True)\nrule6: Rompus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Sour($x, True)\nrule8: Impus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Aggressive($x, True)\nrule10: Zumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Temperate($x, False)\nrule12: Wumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Earthy($x, True)\nrule14: Numpus($x, True) → Dumpus($x, True)\nrule15: Dumpus($x, True) → Opaque($x, True)\nrule16: Dumpus($x, True) → Yumpus($x, True)\nrule17: Jompus($x, True) → Bright($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Feisty($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Brown($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Sour($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Aggressive($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Temperate($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nRompus('Max', True)\nImpus('Max', True)\nZumpus('Max', True)\nWumpus('Max', True)\nNumpus('Max', True)\nDumpus('Max', True)\nFeisty('Max', True)\nBright('Max', False)\nBrown('Max', True)\nSour('Max', True)\nAggressive('Max', True)\nTemperate('Max', False)\nEarthy('Max', True)\nOpaque('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Max', True)\nAccording to the implied fact: Wumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-172_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Each zumpus is not liquid. Each zumpus is a wumpus. Wumpuses are not opaque. Wumpuses are rompuses. Rompuses are not cold. Every rompus is a jompus. Jompuses are blue. Jompuses are numpuses. Every dumpus is shy. Numpuses are angry. Numpuses are vumpuses. Each vumpus is large. Vumpuses are impuses. Each impus is dull. Impuses are tumpuses. Tumpuses are not shy. Tumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAngry($x, bool) ::: Is x angry?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Liquid($x, False)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Opaque($x, False)\nrule4: Wumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Cold($x, False)\nrule6: Rompus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Blue($x, True)\nrule8: Jompus($x, True) → Numpus($x, True)\nrule9: Dumpus($x, True) → Shy($x, True)\nrule10: Numpus($x, True) → Angry($x, True)\nrule11: Numpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Large($x, True)\nrule13: Vumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Dull($x, True)\nrule15: Impus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Shy($x, False)\nrule17: Tumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Jompus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Numpus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Shy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nVumpus('Fae', True)\nImpus('Fae', True)\nTumpus('Fae', True)\nBlue('Fae', True)\nAngry('Fae', True)\nLarge('Fae', True)\nDull('Fae', True)\nShy('Fae', False)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is shy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nShy('Fae', True)\nAccording to the implied fact: Shy('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-464_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Every impus is amenable. Impuses are yumpuses. Every yumpus is wooden. Yumpuses are zumpuses. Zumpuses are not bitter. Zumpuses are tumpuses. Every tumpus is small. Every tumpus is a numpus. Numpuses are not feisty. Every numpus is a wumpus. Each wumpus is not opaque. Every wumpus is a dumpus. Dumpuses are dull. Every dumpus is a vumpus. Each vumpus is floral. Each vumpus is a rompus. Jompuses are not floral.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Amenable($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Wooden($x, True)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Bitter($x, False)\nrule6: Zumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Small($x, True)\nrule8: Tumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Feisty($x, False)\nrule10: Numpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Opaque($x, False)\nrule12: Wumpus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Dull($x, True)\nrule14: Dumpus($x, True) → Vumpus($x, True)\nrule15: Vumpus($x, True) → Floral($x, True)\nrule16: Vumpus($x, True) → Rompus($x, True)\nrule17: Jompus($x, True) → Floral($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Tumpus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Feisty($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nWumpus('Max', True)\nDumpus('Max', True)\nVumpus('Max', True)\nSmall('Max', True)\nFeisty('Max', False)\nOpaque('Max', False)\nDull('Max', True)\nFloral('Max', True)\nRompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Max', False)\nAccording to the known fact: Tumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-96_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Each numpus is not kind. Each impus is not dull. Every numpus is a yumpus. Every yumpus is dull. Yumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Kind($x, False)\nrule2: Impus($x, True) → Dull($x, False)\nrule3: Numpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Dull($x, True)\nrule5: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Kind($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nKind('Fae', False)\nDull('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Fae', True)\nAccording to the implied fact: Dull('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-134_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Every jompus is dull. Each jompus is a numpus. Every zumpus is not kind. Each numpus is not floral. Every numpus is a yumpus. Yumpuses are not shy. Every yumpus is a rompus. Rompuses are kind. Every rompus is a dumpus. Every dumpus is small. Dumpuses are wumpuses. Every wumpus is not bitter. Every wumpus is a tumpus. Tumpuses are temperate. Tumpuses are impuses. Every impus is transparent. Each impus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Dull($x, True)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Zumpus($x, True) → Kind($x, False)\nrule4: Numpus($x, True) → Floral($x, False)\nrule5: Numpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Shy($x, False)\nrule7: Yumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Kind($x, True)\nrule9: Rompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Small($x, True)\nrule11: Dumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Bitter($x, False)\nrule13: Wumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Temperate($x, True)\nrule15: Tumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Transparent($x, True)\nrule17: Impus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Kind($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Bitter($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bitter('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Transparent($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nRompus('Stella', True)\nDumpus('Stella', True)\nWumpus('Stella', True)\nTumpus('Stella', True)\nImpus('Stella', True)\nFloral('Stella', False)\nShy('Stella', False)\nKind('Stella', True)\nSmall('Stella', True)\nBitter('Stella', False)\nTemperate('Stella', True)\nTransparent('Stella', True)\nVumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Stella', True)\nAccording to the implied fact: Dumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-209_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a wumpus. Numpuses are not temperate. Numpuses are wumpuses. Zumpuses are sour. Each wumpus is not orange. Every wumpus is a tumpus. Each tumpus is small. Every tumpus is a dumpus. Dumpuses are not metallic. Every dumpus is a rompus. Rompuses are earthy. Rompuses are impuses. Impuses are not sour. Impuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSour($x, bool) ::: Is x sour?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Temperate($x, False)\nrule2: Numpus($x, True) → Wumpus($x, True)\nrule3: Zumpus($x, True) → Sour($x, True)\nrule4: Wumpus($x, True) → Orange($x, False)\nrule5: Wumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Small($x, True)\nrule7: Tumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Metallic($x, False)\nrule9: Dumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Earthy($x, True)\nrule11: Rompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Sour($x, False)\nrule13: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Orange($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Metallic($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Sour($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nDumpus('Sam', True)\nRompus('Sam', True)\nImpus('Sam', True)\nOrange('Sam', False)\nSmall('Sam', True)\nMetallic('Sam', False)\nEarthy('Sam', True)\nSour('Sam', False)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sam', False)\nAccording to the implied fact: Jompus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-392_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Dumpuses are not opaque. Every dumpus is a numpus. Each numpus is not happy. Numpuses are wumpuses. Wumpuses are not small. Every wumpus is a yumpus. Yumpuses are liquid. Yumpuses are jompuses. Every jompus is not bitter. Tumpuses are bitter. Every jompus is a vumpus. Each vumpus is not fruity. Each vumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, False)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Happy($x, False)\nrule4: Numpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Small($x, False)\nrule6: Wumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Liquid($x, True)\nrule8: Yumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Bitter($x, False)\nrule10: Tumpus($x, True) → Bitter($x, True)\nrule11: Jompus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Fruity($x, False)\nrule13: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Liquid('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Fruity($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nVumpus('Sam', True)\nLiquid('Sam', True)\nBitter('Sam', False)\nFruity('Sam', False)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sam', True)\nAccording to the implied fact: Vumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-284_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is an impus. Impuses are not mean. Every impus is a zumpus. Zumpuses are wooden. Each zumpus is a numpus. Every dumpus is not wooden.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nMean($x, bool) ::: Is x mean?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Mean($x, False)\nrule2: Impus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Wooden($x, True)\nrule4: Zumpus($x, True) → Numpus($x, True)\nrule5: Dumpus($x, True) → Wooden($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Mean($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Mean('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Wooden($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nMean('Polly', False)\nWooden('Polly', True)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Polly', False)\nAccording to the implied fact: Zumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-222_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Each wumpus is brown. Each tumpus is not nervous. Every wumpus is a jompus. Jompuses are metallic. Jompuses are vumpuses. Every vumpus is aggressive. Every vumpus is a yumpus. Yumpuses are not cold. Yumpuses are zumpuses. Zumpuses are nervous. Zumpuses are dumpuses. Dumpuses are spicy. Dumpuses are rompuses. Rompuses are not earthy. Rompuses are numpuses. Each numpus is opaque. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Brown($x, True)\nrule2: Tumpus($x, True) → Nervous($x, False)\nrule3: Wumpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Metallic($x, True)\nrule5: Jompus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Aggressive($x, True)\nrule7: Vumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Cold($x, False)\nrule9: Yumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Nervous($x, True)\nrule11: Zumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Spicy($x, True)\nrule13: Dumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Earthy($x, False)\nrule15: Rompus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Opaque($x, True)\nrule17: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Vumpus($x, True) → Aggressive($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Cold($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Spicy('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Earthy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nZumpus('Fae', True)\nDumpus('Fae', True)\nRompus('Fae', True)\nNumpus('Fae', True)\nAggressive('Fae', True)\nCold('Fae', False)\nNervous('Fae', True)\nSpicy('Fae', True)\nEarthy('Fae', False)\nOpaque('Fae', True)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Fae', True)\nAccording to the implied fact: Dumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-55_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Every yumpus is opaque. Dumpuses are not opaque. Yumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Opaque($x, True)\nrule2: Dumpus($x, True) → Opaque($x, False)\nrule3: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nOpaque('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Sally', False)\nAccording to the implied fact: Opaque('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-84_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Every vumpus is not transparent. Each vumpus is a tumpus. Each impus is not aggressive. Tumpuses are nervous. Tumpuses are numpuses. Every numpus is earthy. Each numpus is a jompus. Every jompus is not temperate. Every jompus is a yumpus. Yumpuses are aggressive. Every yumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nAggressive($x, bool) ::: Is x aggressive?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Transparent($x, False)\nrule2: Vumpus($x, True) → Tumpus($x, True)\nrule3: Impus($x, True) → Aggressive($x, False)\nrule4: Tumpus($x, True) → Nervous($x, True)\nrule5: Tumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Earthy($x, True)\nrule7: Numpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Temperate($x, False)\nrule9: Jompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Aggressive($x, True)\nrule11: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Yumpus($x, True) → Aggressive($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nAggressive('Max', True)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAggressive('Max', True)\nAccording to the implied fact: Aggressive('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-311_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Vumpuses are not cold. Every vumpus is an impus. Numpuses are not amenable. Each impus is amenable. Impuses are yumpuses. Every yumpus is small. Every yumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Cold($x, False)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Numpus($x, True) → Amenable($x, False)\nrule4: Impus($x, True) → Amenable($x, True)\nrule5: Impus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Small($x, True)\nrule7: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Impus($x, True) → Amenable($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nAmenable('Sally', True)\nSmall('Sally', True)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Sally', True)\nAccording to the implied fact: Small('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-330_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Each dumpus is not spicy. Dumpuses are yumpuses. Each zumpus is transparent. Yumpuses are not transparent. Yumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Spicy($x, False)\nrule2: Dumpus($x, True) → Yumpus($x, True)\nrule3: Zumpus($x, True) → Transparent($x, True)\nrule4: Yumpus($x, True) → Transparent($x, False)\nrule5: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Spicy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Yumpus($x, True) → Transparent($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nSpicy('Sam', False)\nTransparent('Sam', False)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Sam', True)\nAccording to the implied fact: Yumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-384_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Yumpuses are bright. Yumpuses are jompuses. Tumpuses are not bright. Every jompus is not shy. Each jompus is a zumpus. Every zumpus is not angry. Every zumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nAngry($x, bool) ::: Is x angry?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Bright($x, True)\nrule2: Yumpus($x, True) → Jompus($x, True)\nrule3: Tumpus($x, True) → Bright($x, False)\nrule4: Jompus($x, True) → Shy($x, False)\nrule5: Jompus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Angry($x, False)\nrule7: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Jompus($x, True) → Shy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Angry($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nZumpus('Max', True)\nBright('Max', True)\nShy('Max', False)\nAngry('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is angry.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAngry('Max', True)\nAccording to the implied fact: Angry('Max', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-169_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Every yumpus is not transparent. Each vumpus is wooden. Yumpuses are zumpuses. Zumpuses are not wooden. Each zumpus is a wumpus. Wumpuses are bright. Wumpuses are tumpuses. Tumpuses are not red. Every tumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Transparent($x, False)\nrule2: Vumpus($x, True) → Wooden($x, True)\nrule3: Yumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Wooden($x, False)\nrule5: Zumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Bright($x, True)\nrule7: Wumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Red($x, False)\nrule9: Tumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Transparent($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Wooden($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Red($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Red('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nWumpus('Alex', True)\nTumpus('Alex', True)\nTransparent('Alex', False)\nWooden('Alex', False)\nBright('Alex', True)\nRed('Alex', False)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Alex', True)\nAccording to the implied fact: Wumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-230_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is an impus. Impuses are not angry. Each zumpus is angry. Impuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Angry($x, False)\nrule2: Zumpus($x, True) → Angry($x, True)\nrule3: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Angry($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Angry('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Impus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nAngry('Polly', False)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Polly', True)\nAccording to the known fact: Impus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-111_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Every dumpus is fruity. Dumpuses are jompuses. Each jompus is large. Each jompus is a numpus. Each numpus is wooden. Each numpus is a yumpus. Every yumpus is bright. Each yumpus is a rompus. Rompuses are not orange. Rompuses are tumpuses. Each tumpus is not transparent. Every tumpus is a zumpus. Every impus is orange.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Fruity($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Large($x, True)\nrule4: Jompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Wooden($x, True)\nrule6: Numpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Bright($x, True)\nrule8: Yumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Orange($x, False)\nrule10: Rompus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Transparent($x, False)\nrule12: Tumpus($x, True) → Zumpus($x, True)\nrule13: Impus($x, True) → Orange($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Wooden($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Orange($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Transparent($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nNumpus('Rex', True)\nYumpus('Rex', True)\nRompus('Rex', True)\nTumpus('Rex', True)\nFruity('Rex', True)\nLarge('Rex', True)\nWooden('Rex', True)\nBright('Rex', True)\nOrange('Rex', False)\nTransparent('Rex', False)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Rex', True)\nAccording to the implied fact: Tumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-374_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Every zumpus is happy. Zumpuses are wumpuses. Every wumpus is not amenable. Each wumpus is a numpus. Rompuses are earthy. Each numpus is not transparent. Each numpus is a jompus. Jompuses are bright. Each jompus is a yumpus. Yumpuses are not bitter. Yumpuses are dumpuses. Each dumpus is not earthy. Every dumpus is a tumpus. Tumpuses are not brown. Each tumpus is a vumpus. Vumpuses are not wooden. Each vumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Happy($x, True)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Amenable($x, False)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Rompus($x, True) → Earthy($x, True)\nrule6: Numpus($x, True) → Transparent($x, False)\nrule7: Numpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Bright($x, True)\nrule9: Jompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Bitter($x, False)\nrule11: Yumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Earthy($x, False)\nrule13: Dumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Brown($x, False)\nrule15: Tumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Wooden($x, False)\nrule17: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Numpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Bitter($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Earthy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Brown($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Wooden($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nYumpus('Fae', True)\nDumpus('Fae', True)\nTumpus('Fae', True)\nVumpus('Fae', True)\nTransparent('Fae', False)\nBright('Fae', True)\nBitter('Fae', False)\nEarthy('Fae', False)\nBrown('Fae', False)\nWooden('Fae', False)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Fae', True)\nAccording to the known fact: Numpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-185_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Each numpus is shy. Numpuses are yumpuses. Each jompus is large. Yumpuses are hot. Yumpuses are wumpuses. Every wumpus is not large. Wumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Shy($x, True)\nrule2: Numpus($x, True) → Yumpus($x, True)\nrule3: Jompus($x, True) → Large($x, True)\nrule4: Yumpus($x, True) → Hot($x, True)\nrule5: Yumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Large($x, False)\nrule7: Wumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Rex', True)\nWumpus('Rex', True)\nShy('Rex', True)\nHot('Rex', True)\nLarge('Rex', False)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Rex', True)\nAccording to the implied fact: Vumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-202_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Yumpuses are happy. Numpuses are brown. Every numpus is an impus. Impuses are not aggressive. Every impus is a jompus. Every jompus is earthy. Each jompus is a wumpus. Wumpuses are large. Each wumpus is a rompus. Rompuses are not temperate. Rompuses are vumpuses. Every vumpus is not bitter. Every vumpus is a tumpus. Tumpuses are not happy. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Happy($x, True)\nrule2: Numpus($x, True) → Brown($x, True)\nrule3: Numpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Aggressive($x, False)\nrule5: Impus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Earthy($x, True)\nrule7: Jompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Large($x, True)\nrule9: Wumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Temperate($x, False)\nrule11: Rompus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Bitter($x, False)\nrule13: Vumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Happy($x, False)\nrule15: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Jompus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Temperate($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Bitter($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Happy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nRompus('Sam', True)\nVumpus('Sam', True)\nTumpus('Sam', True)\nEarthy('Sam', True)\nLarge('Sam', True)\nTemperate('Sam', False)\nBitter('Sam', False)\nHappy('Sam', False)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not happy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHappy('Sam', False)\nAccording to the implied fact: Happy('Sam', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-160_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Every tumpus is not fruity. Each tumpus is a numpus. Numpuses are not sweet. Numpuses are vumpuses. Each vumpus is cold. Vumpuses are dumpuses. Each dumpus is dull. Every dumpus is an impus. Every impus is not amenable. Each impus is a wumpus. Every zumpus is transparent. Every wumpus is happy. Wumpuses are rompuses. Rompuses are wooden. Rompuses are yumpuses. Each yumpus is not transparent. Yumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Fruity($x, False)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Sweet($x, False)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Cold($x, True)\nrule6: Vumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Dull($x, True)\nrule8: Dumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Amenable($x, False)\nrule10: Impus($x, True) → Wumpus($x, True)\nrule11: Zumpus($x, True) → Transparent($x, True)\nrule12: Wumpus($x, True) → Happy($x, True)\nrule13: Wumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Wooden($x, True)\nrule15: Rompus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Transparent($x, False)\nrule17: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Wumpus($x, True) → Happy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Wooden($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nYumpus('Fae', True)\nHappy('Fae', True)\nWooden('Fae', True)\nTransparent('Fae', False)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Fae', True)\nAccording to the implied fact: Jompus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-191_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a vumpus. Every zumpus is sweet. Zumpuses are dumpuses. Dumpuses are small. Jompuses are floral. Dumpuses are vumpuses. Vumpuses are not floral. Vumpuses are impuses. Each impus is nervous. Impuses are yumpuses. Yumpuses are opaque. Yumpuses are wumpuses. Each wumpus is angry. Every wumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Sweet($x, True)\nrule2: Zumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Small($x, True)\nrule4: Jompus($x, True) → Floral($x, True)\nrule5: Dumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Floral($x, False)\nrule7: Vumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Nervous($x, True)\nrule9: Impus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Opaque($x, True)\nrule11: Yumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Angry($x, True)\nrule13: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Vumpus($x, True) → Floral($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Angry($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Angry('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nYumpus('Rex', True)\nWumpus('Rex', True)\nFloral('Rex', False)\nNervous('Rex', True)\nOpaque('Rex', True)\nAngry('Rex', True)\nNumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Rex', True)\nAccording to the implied fact: Opaque('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-126_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Zumpuses are not transparent. Jompuses are dull. Every jompus is a vumpus. Vumpuses are large. Every vumpus is a tumpus. Tumpuses are transparent. Each tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, False)\nrule2: Jompus($x, True) → Dull($x, True)\nrule3: Jompus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Large($x, True)\nrule5: Vumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Transparent($x, True)\nrule7: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nLarge('Sam', True)\nTransparent('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Sam', False)\nAccording to the implied fact: Transparent('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-350_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Each zumpus is not temperate. Yumpuses are not angry. Yumpuses are tumpuses. Each tumpus is temperate. Tumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Temperate($x, False)\nrule2: Yumpus($x, True) → Angry($x, False)\nrule3: Yumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Temperate($x, True)\nrule5: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Yumpus($x, True) → Angry($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nAngry('Sam', False)\nTemperate('Sam', True)\nWumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', False)\nAccording to the implied fact: Wumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-30_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Every numpus is happy. Every numpus is a rompus. Rompuses are wooden. Rompuses are dumpuses. Every dumpus is cold. Dumpuses are vumpuses. Each vumpus is fruity. Each tumpus is not wooden. Every vumpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Happy($x, True)\nrule2: Numpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Wooden($x, True)\nrule4: Rompus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Cold($x, True)\nrule6: Dumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Fruity($x, True)\nrule8: Tumpus($x, True) → Wooden($x, False)\nrule9: Vumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Happy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Wooden($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Cold($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nRompus('Polly', True)\nDumpus('Polly', True)\nVumpus('Polly', True)\nHappy('Polly', True)\nWooden('Polly', True)\nCold('Polly', True)\nFruity('Polly', True)\nZumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Polly', True)\nAccording to the implied fact: Vumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-61_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Each rompus is not bright. Every rompus is a numpus. Numpuses are hot. Vumpuses are not nervous. Numpuses are dumpuses. Every dumpus is earthy. Every dumpus is a tumpus. Every tumpus is nervous. Tumpuses are zumpuses. Each zumpus is not small. Every zumpus is an impus. Impuses are transparent. Impuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, False)\nrule2: Rompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Hot($x, True)\nrule4: Vumpus($x, True) → Nervous($x, False)\nrule5: Numpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Earthy($x, True)\nrule7: Dumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Nervous($x, True)\nrule9: Tumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Small($x, False)\nrule11: Zumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Transparent($x, True)\nrule13: Impus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Nervous('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nImpus('Polly', True)\nNervous('Polly', True)\nSmall('Polly', False)\nTransparent('Polly', True)\nYumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Polly', True)\nAccording to the implied fact: Impus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-351_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Tumpuses are not opaque. Tumpuses are yumpuses. Every yumpus is bright. Every yumpus is a zumpus. Zumpuses are kind. Every zumpus is a jompus. Every jompus is not small. Every jompus is a dumpus. Every dumpus is not cold. Dumpuses are impuses. Every rompus is small. Impuses are brown. Impuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Opaque($x, False)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Bright($x, True)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Kind($x, True)\nrule6: Zumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Small($x, False)\nrule8: Jompus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Cold($x, False)\nrule10: Dumpus($x, True) → Impus($x, True)\nrule11: Rompus($x, True) → Small($x, True)\nrule12: Impus($x, True) → Brown($x, True)\nrule13: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Kind($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Cold($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Impus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nJompus('Wren', True)\nDumpus('Wren', True)\nImpus('Wren', True)\nBright('Wren', True)\nKind('Wren', True)\nSmall('Wren', False)\nCold('Wren', False)\nBrown('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Wren', True)\nAccording to the implied fact: Cold('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-308_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Each dumpus is not floral. Dumpuses are wumpuses. Each wumpus is hot. Wumpuses are impuses. Each impus is metallic. Impuses are rompuses. Every rompus is not aggressive. Every rompus is a jompus. Jompuses are not shy. Jompuses are vumpuses. Vumpuses are bright. Vumpuses are zumpuses. Every zumpus is not small. Every zumpus is a tumpus. Tumpuses are sweet. Tumpuses are yumpuses. Numpuses are not sweet.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Floral($x, False)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Hot($x, True)\nrule4: Wumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Metallic($x, True)\nrule6: Impus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Aggressive($x, False)\nrule8: Rompus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Shy($x, False)\nrule10: Jompus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Bright($x, True)\nrule12: Vumpus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Small($x, False)\nrule14: Zumpus($x, True) → Tumpus($x, True)\nrule15: Tumpus($x, True) → Sweet($x, True)\nrule16: Tumpus($x, True) → Yumpus($x, True)\nrule17: Numpus($x, True) → Sweet($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Small($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Sweet($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nTumpus('Sam', True)\nBright('Sam', True)\nSmall('Sam', False)\nSweet('Sam', True)\nYumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sam', True)\nAccording to the known fact: Vumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-236_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Each impus is nervous. Each impus is a zumpus. Every zumpus is brown. Zumpuses are wumpuses. Each wumpus is not sour. Every wumpus is a rompus. Every rompus is large. Each rompus is a dumpus. Dumpuses are mean. Dumpuses are jompuses. Jompuses are opaque. Numpuses are not opaque. Each jompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Nervous($x, True)\nrule2: Impus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Brown($x, True)\nrule4: Zumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Sour($x, False)\nrule6: Wumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Large($x, True)\nrule8: Rompus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Mean($x, True)\nrule10: Dumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Opaque($x, True)\nrule12: Numpus($x, True) → Opaque($x, False)\nrule13: Jompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nOpaque('Rex', True)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Rex', False)\nAccording to the implied fact: Opaque('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-154_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Every tumpus is not brown. Tumpuses are wumpuses. Wumpuses are bright. Wumpuses are numpuses. Jompuses are brown.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Brown($x, False)\nrule2: Tumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Bright($x, True)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Jompus($x, True) → Brown($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Brown($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nWumpus('Max', True)\nBrown('Max', False)\nBright('Max', True)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Max', False)\nAccording to the known fact: Tumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-405_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Every dumpus is bright. Each dumpus is a numpus. Numpuses are not fruity. Tumpuses are fruity. Every numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Bright($x, True)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Fruity($x, False)\nrule4: Tumpus($x, True) → Fruity($x, True)\nrule5: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nFruity('Fae', False)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Fae', False)\nAccording to the implied fact: Fruity('Fae', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-496_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Each dumpus is floral. Each dumpus is a yumpus. Zumpuses are not transparent. Each yumpus is transparent. Yumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Floral($x, True)\nrule2: Dumpus($x, True) → Yumpus($x, True)\nrule3: Zumpus($x, True) → Transparent($x, False)\nrule4: Yumpus($x, True) → Transparent($x, True)\nrule5: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nFloral('Sam', True)\nTransparent('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Sam', False)\nAccording to the implied fact: Transparent('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-395_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Every dumpus is luminous. Every dumpus is a wumpus. Wumpuses are bright. Rompuses are not bright. Each wumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Luminous($x, True)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Bright($x, True)\nrule4: Rompus($x, True) → Bright($x, False)\nrule5: Wumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nBright('Fae', True)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Fae', False)\nAccording to the known fact: Wumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-202_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Every impus is not happy. Impuses are tumpuses. Every tumpus is hot. Each tumpus is a zumpus. Zumpuses are sweet. Each zumpus is a vumpus. Vumpuses are dull. Every vumpus is a yumpus. Yumpuses are brown. Every yumpus is a dumpus. Dumpuses are large. Every dumpus is a rompus. Rompuses are opaque. Rompuses are numpuses. Numpuses are kind. Numpuses are wumpuses. Each jompus is not brown.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Happy($x, False)\nrule2: Impus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Hot($x, True)\nrule4: Tumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Sweet($x, True)\nrule6: Zumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Dull($x, True)\nrule8: Vumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Brown($x, True)\nrule10: Yumpus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Large($x, True)\nrule12: Dumpus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Opaque($x, True)\nrule14: Rompus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Kind($x, True)\nrule16: Numpus($x, True) → Wumpus($x, True)\nrule17: Jompus($x, True) → Brown($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Brown($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Kind($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nDumpus('Polly', True)\nRompus('Polly', True)\nNumpus('Polly', True)\nDull('Polly', True)\nBrown('Polly', True)\nLarge('Polly', True)\nOpaque('Polly', True)\nKind('Polly', True)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Polly', False)\nAccording to the implied fact: Rompus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-305_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Dumpuses are brown. Dumpuses are numpuses. Numpuses are bright. Every numpus is a zumpus. Each jompus is not brown.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Brown($x, True)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Bright($x, True)\nrule4: Numpus($x, True) → Zumpus($x, True)\nrule5: Jompus($x, True) → Brown($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Brown($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nNumpus('Sally', True)\nBrown('Sally', True)\nBright('Sally', True)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Sally', True)\nAccording to the implied fact: Bright('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-73_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Every zumpus is cold. Zumpuses are numpuses. Numpuses are large. Each numpus is a jompus. Jompuses are luminous. Each jompus is a vumpus. Vumpuses are brown. Vumpuses are yumpuses. Tumpuses are not kind. Yumpuses are kind. Each yumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Cold($x, True)\nrule2: Zumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Large($x, True)\nrule4: Numpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Luminous($x, True)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Brown($x, True)\nrule8: Vumpus($x, True) → Yumpus($x, True)\nrule9: Tumpus($x, True) → Kind($x, False)\nrule10: Yumpus($x, True) → Kind($x, True)\nrule11: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Luminous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Brown($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Yumpus($x, True) → Kind($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nVumpus('Fae', True)\nYumpus('Fae', True)\nLarge('Fae', True)\nLuminous('Fae', True)\nBrown('Fae', True)\nKind('Fae', True)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Fae', False)\nAccording to the implied fact: Large('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-287_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Tumpuses are orange. Each tumpus is a jompus. Jompuses are shy. Each jompus is a numpus. Numpuses are not floral. Every numpus is a vumpus. Vumpuses are metallic. Each vumpus is a dumpus. Dumpuses are not kind. Each dumpus is a rompus. Rompuses are not bitter. Wumpuses are bitter. Rompuses are yumpuses. Yumpuses are temperate. Yumpuses are zumpuses. Zumpuses are opaque. Each zumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Orange($x, True)\nrule2: Tumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Shy($x, True)\nrule4: Jompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Floral($x, False)\nrule6: Numpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Metallic($x, True)\nrule8: Vumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Kind($x, False)\nrule10: Dumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Bitter($x, False)\nrule12: Wumpus($x, True) → Bitter($x, True)\nrule13: Rompus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Temperate($x, True)\nrule15: Yumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Opaque($x, True)\nrule17: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Shy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Floral($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Metallic($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Kind($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Kind('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Bitter($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Sally', True)\nVumpus('Sally', True)\nDumpus('Sally', True)\nRompus('Sally', True)\nYumpus('Sally', True)\nZumpus('Sally', True)\nShy('Sally', True)\nFloral('Sally', False)\nMetallic('Sally', True)\nKind('Sally', False)\nBitter('Sally', False)\nTemperate('Sally', True)\nOpaque('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', False)\nAccording to the implied fact: Impus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-383_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Tumpuses are hot. Tumpuses are wumpuses. Each impus is not hot.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Hot($x, True)\nrule2: Tumpus($x, True) → Wumpus($x, True)\nrule3: Impus($x, True) → Hot($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nHot('Alex', True)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Alex', True)\nAccording to the implied fact: Wumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-95_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Vumpuses are dull. Dumpuses are metallic. Every dumpus is a wumpus. Wumpuses are not opaque. Every wumpus is a jompus. Jompuses are not dull. Jompuses are yumpuses. Yumpuses are spicy. Each yumpus is a numpus. Numpuses are earthy. Numpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Dull($x, True)\nrule2: Dumpus($x, True) → Metallic($x, True)\nrule3: Dumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Opaque($x, False)\nrule5: Wumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Dull($x, False)\nrule7: Jompus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Spicy($x, True)\nrule9: Yumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Earthy($x, True)\nrule11: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Dumpus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Dull($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nJompus('Rex', True)\nYumpus('Rex', True)\nNumpus('Rex', True)\nMetallic('Rex', True)\nOpaque('Rex', False)\nDull('Rex', False)\nSpicy('Rex', True)\nEarthy('Rex', True)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Rex', False)\nAccording to the implied fact: Earthy('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-38_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Jompuses are happy. Jompuses are rompuses. Rompuses are opaque. Every rompus is a tumpus. Each tumpus is not hot. Every tumpus is an impus. Each impus is dull. Impuses are zumpuses. Wumpuses are not liquid. Zumpuses are liquid. Zumpuses are vumpuses. Vumpuses are not fruity. Vumpuses are dumpuses. Each dumpus is bitter. Dumpuses are yumpuses. Each yumpus is angry. Yumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Happy($x, True)\nrule2: Jompus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Opaque($x, True)\nrule4: Rompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Hot($x, False)\nrule6: Tumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Dull($x, True)\nrule8: Impus($x, True) → Zumpus($x, True)\nrule9: Wumpus($x, True) → Liquid($x, False)\nrule10: Zumpus($x, True) → Liquid($x, True)\nrule11: Zumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Fruity($x, False)\nrule13: Vumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Bitter($x, True)\nrule15: Dumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Angry($x, True)\nrule17: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Happy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Hot($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Fruity($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Bitter($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bitter('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nTumpus('Max', True)\nImpus('Max', True)\nZumpus('Max', True)\nVumpus('Max', True)\nDumpus('Max', True)\nYumpus('Max', True)\nHappy('Max', True)\nOpaque('Max', True)\nHot('Max', False)\nDull('Max', True)\nLiquid('Max', True)\nFruity('Max', False)\nBitter('Max', True)\nAngry('Max', True)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Max', False)\nAccording to the implied fact: Yumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-484_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Tumpuses are opaque. Tumpuses are dumpuses. Every dumpus is not floral. Each dumpus is a numpus. Numpuses are amenable. Every numpus is a yumpus. Every yumpus is red. Every yumpus is an impus. Each impus is metallic. Impuses are wumpuses. Every wumpus is sweet. Zumpuses are not sweet. Every wumpus is a vumpus. Vumpuses are not bright. Each vumpus is a rompus. Each rompus is temperate. Rompuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Opaque($x, True)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Floral($x, False)\nrule4: Dumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Amenable($x, True)\nrule6: Numpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Red($x, True)\nrule8: Yumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Metallic($x, True)\nrule10: Impus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Sweet($x, True)\nrule12: Zumpus($x, True) → Sweet($x, False)\nrule13: Wumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Bright($x, False)\nrule15: Vumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Temperate($x, True)\nrule17: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Impus($x, True) → Metallic($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nVumpus('Stella', True)\nRompus('Stella', True)\nMetallic('Stella', True)\nSweet('Stella', True)\nBright('Stella', False)\nTemperate('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Stella', False)\nAccording to the known fact: Impus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-389_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Every yumpus is happy. Yumpuses are rompuses. Rompuses are kind. Rompuses are jompuses. Every dumpus is not floral. Each jompus is not opaque. Every jompus is a zumpus. Each zumpus is bright. Each zumpus is a tumpus. Tumpuses are hot. Every tumpus is a numpus. Numpuses are not large. Numpuses are wumpuses. Each wumpus is sour. Wumpuses are vumpuses. Each vumpus is floral. Each vumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Happy($x, True)\nrule2: Yumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Kind($x, True)\nrule4: Rompus($x, True) → Jompus($x, True)\nrule5: Dumpus($x, True) → Floral($x, False)\nrule6: Jompus($x, True) → Opaque($x, False)\nrule7: Jompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Bright($x, True)\nrule9: Zumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Hot($x, True)\nrule11: Tumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Large($x, False)\nrule13: Numpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Sour($x, True)\nrule15: Wumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Floral($x, True)\nrule17: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Large($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Sour($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Sam', True)\nWumpus('Sam', True)\nVumpus('Sam', True)\nHot('Sam', True)\nLarge('Sam', False)\nSour('Sam', True)\nFloral('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Sam', True)\nAccording to the implied fact: Sour('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-167_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Every impus is aggressive. Each impus is a yumpus. Yumpuses are shy. Yumpuses are jompuses. Jompuses are orange. Jompuses are zumpuses. Each zumpus is cold. Zumpuses are wumpuses. Wumpuses are not large. Wumpuses are tumpuses. Every vumpus is not floral. Tumpuses are dull. Each tumpus is a dumpus. Dumpuses are floral. Every dumpus is a numpus. Numpuses are liquid. Numpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Aggressive($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Shy($x, True)\nrule4: Yumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Orange($x, True)\nrule6: Jompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Cold($x, True)\nrule8: Zumpus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Large($x, False)\nrule10: Wumpus($x, True) → Tumpus($x, True)\nrule11: Vumpus($x, True) → Floral($x, False)\nrule12: Tumpus($x, True) → Dull($x, True)\nrule13: Tumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Floral($x, True)\nrule15: Dumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Liquid($x, True)\nrule17: Numpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Orange($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nWumpus('Rex', True)\nTumpus('Rex', True)\nDumpus('Rex', True)\nNumpus('Rex', True)\nOrange('Rex', True)\nCold('Rex', True)\nLarge('Rex', False)\nDull('Rex', True)\nFloral('Rex', True)\nLiquid('Rex', True)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Rex', False)\nAccording to the implied fact: Large('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-369_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Each jompus is not transparent. Each jompus is a tumpus. Tumpuses are not fruity. Tumpuses are rompuses. Every rompus is not large. Rompuses are vumpuses. Vumpuses are sweet. Each vumpus is an impus. Impuses are bright. Impuses are numpuses. Numpuses are luminous. Numpuses are wumpuses. Every wumpus is angry. Each wumpus is a zumpus. Every zumpus is not cold. Yumpuses are not sweet. Zumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Transparent($x, False)\nrule2: Jompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Fruity($x, False)\nrule4: Tumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Large($x, False)\nrule6: Rompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Sweet($x, True)\nrule8: Vumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Bright($x, True)\nrule10: Impus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Luminous($x, True)\nrule12: Numpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Angry($x, True)\nrule14: Wumpus($x, True) → Zumpus($x, True)\nrule15: Zumpus($x, True) → Cold($x, False)\nrule16: Yumpus($x, True) → Sweet($x, False)\nrule17: Zumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Luminous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Cold($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nRompus('Fae', True)\nVumpus('Fae', True)\nImpus('Fae', True)\nNumpus('Fae', True)\nWumpus('Fae', True)\nZumpus('Fae', True)\nTransparent('Fae', False)\nFruity('Fae', False)\nLarge('Fae', False)\nSweet('Fae', True)\nBright('Fae', True)\nLuminous('Fae', True)\nAngry('Fae', True)\nCold('Fae', False)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Fae', False)\nAccording to the implied fact: Impus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-346_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Rompuses are earthy. Yumpuses are not temperate. Every rompus is a wumpus. Wumpuses are temperate. Every wumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Earthy($x, True)\nrule2: Yumpus($x, True) → Temperate($x, False)\nrule3: Rompus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Temperate($x, True)\nrule5: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTemperate('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Stella', False)\nAccording to the known fact: Wumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-88_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a rompus. Impuses are bitter. Impuses are yumpuses. Each yumpus is not dull. Yumpuses are dumpuses. Dumpuses are small. Every dumpus is a wumpus. Wumpuses are brown. Wumpuses are rompuses. Rompuses are feisty. Each rompus is a zumpus. Zumpuses are not liquid. Every zumpus is a jompus. Every jompus is not floral. Each jompus is a numpus. Every numpus is cold. Each vumpus is liquid. Every numpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Bitter($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Dull($x, False)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Small($x, True)\nrule6: Dumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Brown($x, True)\nrule8: Wumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Feisty($x, True)\nrule10: Rompus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Liquid($x, False)\nrule12: Zumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Floral($x, False)\nrule14: Jompus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Cold($x, True)\nrule16: Vumpus($x, True) → Liquid($x, True)\nrule17: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Rompus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Liquid($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Floral($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nJompus('Rex', True)\nNumpus('Rex', True)\nFeisty('Rex', True)\nLiquid('Rex', False)\nFloral('Rex', False)\nCold('Rex', True)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Rex', True)\nAccording to the implied fact: Floral('Rex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-74_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a wumpus. Every wumpus is not kind. Wumpuses are tumpuses. Impuses are not bright. Each tumpus is bright. Each tumpus is a dumpus. Dumpuses are not brown. Each dumpus is a rompus. Rompuses are fruity. Every rompus is a vumpus. Each vumpus is feisty. Every vumpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Kind($x, False)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Impus($x, True) → Bright($x, False)\nrule4: Tumpus($x, True) → Bright($x, True)\nrule5: Tumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Brown($x, False)\nrule7: Dumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Fruity($x, True)\nrule9: Rompus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Feisty($x, True)\nrule11: Vumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Kind($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Brown($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Polly', True)\nDumpus('Polly', True)\nRompus('Polly', True)\nVumpus('Polly', True)\nKind('Polly', False)\nBright('Polly', True)\nBrown('Polly', False)\nFruity('Polly', True)\nFeisty('Polly', True)\nZumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Polly', False)\nAccording to the implied fact: Tumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-368_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Each dumpus is not luminous. Each dumpus is a wumpus. Every wumpus is feisty. Each wumpus is a zumpus. Zumpuses are dull. Every zumpus is a yumpus. Yumpuses are transparent. Yumpuses are vumpuses. Vumpuses are spicy. Each vumpus is a jompus. Jompuses are not brown. Jompuses are tumpuses. Every tumpus is not hot. Every tumpus is a rompus. Each impus is brown. Every rompus is not kind. Rompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Luminous($x, False)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Feisty($x, True)\nrule4: Wumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Dull($x, True)\nrule6: Zumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Transparent($x, True)\nrule8: Yumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Spicy($x, True)\nrule10: Vumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Brown($x, False)\nrule12: Jompus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Hot($x, False)\nrule14: Tumpus($x, True) → Rompus($x, True)\nrule15: Impus($x, True) → Brown($x, True)\nrule16: Rompus($x, True) → Kind($x, False)\nrule17: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Brown($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Hot($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Rompus($x, True) → Kind($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nYumpus('Alex', True)\nVumpus('Alex', True)\nJompus('Alex', True)\nTumpus('Alex', True)\nRompus('Alex', True)\nFeisty('Alex', True)\nDull('Alex', True)\nTransparent('Alex', True)\nSpicy('Alex', True)\nBrown('Alex', False)\nHot('Alex', False)\nKind('Alex', False)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Alex', False)\nAccording to the implied fact: Transparent('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-365_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Vumpuses are earthy. Each vumpus is an impus. Each impus is blue. Every impus is a yumpus. Yumpuses are nervous. Each yumpus is a wumpus. Each wumpus is small. Wumpuses are zumpuses. Rompuses are not blue. Zumpuses are temperate. Each zumpus is a dumpus. Dumpuses are not bright. Each dumpus is a tumpus. Each tumpus is amenable. Tumpuses are numpuses. Numpuses are wooden. Numpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Earthy($x, True)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Blue($x, True)\nrule4: Impus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Nervous($x, True)\nrule6: Yumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Small($x, True)\nrule8: Wumpus($x, True) → Zumpus($x, True)\nrule9: Rompus($x, True) → Blue($x, False)\nrule10: Zumpus($x, True) → Temperate($x, True)\nrule11: Zumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Bright($x, False)\nrule13: Dumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Amenable($x, True)\nrule15: Tumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Wooden($x, True)\nrule17: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Blue($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Nervous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Amenable($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Amenable('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Wooden($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Stella', True)\nYumpus('Stella', True)\nWumpus('Stella', True)\nZumpus('Stella', True)\nDumpus('Stella', True)\nTumpus('Stella', True)\nNumpus('Stella', True)\nEarthy('Stella', True)\nBlue('Stella', True)\nNervous('Stella', True)\nSmall('Stella', True)\nTemperate('Stella', True)\nBright('Stella', False)\nAmenable('Stella', True)\nWooden('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Stella', True)\nAccording to the implied fact: Dumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-448_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Every wumpus is not temperate. Every wumpus is a yumpus. Each rompus is not transparent. Each yumpus is transparent. Each yumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Temperate($x, False)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Rompus($x, True) → Transparent($x, False)\nrule4: Yumpus($x, True) → Transparent($x, True)\nrule5: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTransparent('Sally', True)\nNumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Sally', False)\nAccording to the implied fact: Transparent('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-495_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Jompuses are not opaque. Jompuses are impuses. Every impus is bright. Impuses are vumpuses. Every rompus is opaque.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Opaque($x, False)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Bright($x, True)\nrule4: Impus($x, True) → Vumpus($x, True)\nrule5: Rompus($x, True) → Opaque($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nOpaque('Max', False)\nBright('Max', True)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Max', True)\nAccording to the implied fact: Bright('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-139_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a jompus. Each numpus is fruity. Numpuses are impuses. Each impus is not dull. Rompuses are not opaque. Impuses are jompuses. Every jompus is opaque. Jompuses are wumpuses. Wumpuses are large. Each wumpus is a dumpus. Each dumpus is kind. Dumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Fruity($x, True)\nrule2: Numpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Dull($x, False)\nrule4: Rompus($x, True) → Opaque($x, False)\nrule5: Impus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Opaque($x, True)\nrule7: Jompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Large($x, True)\nrule9: Wumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Kind($x, True)\nrule11: Dumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Kind($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nDumpus('Wren', True)\nOpaque('Wren', True)\nLarge('Wren', True)\nKind('Wren', True)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Wren', False)\nAccording to the implied fact: Large('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-281_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Each rompus is not shy. Rompuses are tumpuses. Wumpuses are shy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Shy($x, False)\nrule2: Rompus($x, True) → Tumpus($x, True)\nrule3: Wumpus($x, True) → Shy($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Shy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nShy('Alex', False)\nTumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', True)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-88_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a jompus. Every yumpus is opaque. Yumpuses are impuses. Every impus is hot. Every impus is a jompus. Jompuses are sour. Each numpus is not sour. Every jompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Opaque($x, True)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Hot($x, True)\nrule4: Impus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Sour($x, True)\nrule6: Numpus($x, True) → Sour($x, False)\nrule7: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Sour($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nSour('Alex', True)\nTumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Alex', False)\nAccording to the implied fact: Sour('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-51_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Impuses are red. Impuses are zumpuses. Each zumpus is nervous. Every zumpus is a wumpus. Vumpuses are not large. Every wumpus is spicy. Each wumpus is a tumpus. Each tumpus is not floral. Each tumpus is a rompus. Every rompus is large. Each rompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Red($x, True)\nrule2: Impus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Nervous($x, True)\nrule4: Zumpus($x, True) → Wumpus($x, True)\nrule5: Vumpus($x, True) → Large($x, False)\nrule6: Wumpus($x, True) → Spicy($x, True)\nrule7: Wumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Floral($x, False)\nrule9: Tumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Large($x, True)\nrule11: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Red($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Wumpus($x, True) → Spicy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Floral($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nWumpus('Wren', True)\nTumpus('Wren', True)\nRompus('Wren', True)\nRed('Wren', True)\nNervous('Wren', True)\nSpicy('Wren', True)\nFloral('Wren', False)\nLarge('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', False)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-340_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a rompus. Each impus is not large. Impuses are tumpuses. Each tumpus is bright. Tumpuses are wumpuses. Each wumpus is hot. Wumpuses are jompuses. Jompuses are not sweet. Each jompus is a rompus. Each rompus is amenable. Rompuses are vumpuses. Zumpuses are not fruity. Every vumpus is fruity. Every vumpus is a dumpus. Every dumpus is transparent. Dumpuses are yumpuses. Yumpuses are orange. Each yumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAmenable($x, bool) ::: Is x amenable?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Large($x, False)\nrule2: Impus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Bright($x, True)\nrule4: Tumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Hot($x, True)\nrule6: Wumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Sweet($x, False)\nrule8: Jompus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Amenable($x, True)\nrule10: Rompus($x, True) → Vumpus($x, True)\nrule11: Zumpus($x, True) → Fruity($x, False)\nrule12: Vumpus($x, True) → Fruity($x, True)\nrule13: Vumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Transparent($x, True)\nrule15: Dumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Orange($x, True)\nrule17: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Rompus($x, True) → Amenable($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nDumpus('Polly', True)\nYumpus('Polly', True)\nAmenable('Polly', True)\nFruity('Polly', True)\nTransparent('Polly', True)\nOrange('Polly', True)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Polly', True)\nAccording to the implied fact: Orange('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-231_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Every wumpus is red. Wumpuses are rompuses. Rompuses are not earthy. Rompuses are vumpuses. Every vumpus is mean. Every vumpus is a zumpus. Each zumpus is not opaque. Every zumpus is a tumpus. Impuses are opaque.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Red($x, True)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Earthy($x, False)\nrule4: Rompus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Mean($x, True)\nrule6: Vumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Opaque($x, False)\nrule8: Zumpus($x, True) → Tumpus($x, True)\nrule9: Impus($x, True) → Opaque($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Zumpus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nOpaque('Fae', False)\nTumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', False)\nAccording to the known fact: Zumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-127_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Every dumpus is large. Every vumpus is bitter. Vumpuses are wumpuses. Wumpuses are shy. Each wumpus is a numpus. Numpuses are not large. Every numpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, True)\nrule2: Vumpus($x, True) → Bitter($x, True)\nrule3: Vumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Shy($x, True)\nrule5: Wumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Large($x, False)\nrule7: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Shy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Large($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nNumpus('Wren', True)\nBitter('Wren', True)\nShy('Wren', True)\nLarge('Wren', False)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', False)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-341_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Every dumpus is not luminous. Dumpuses are yumpuses. Each jompus is luminous. Yumpuses are not opaque. Yumpuses are numpuses. Every numpus is floral. Numpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Luminous($x, False)\nrule2: Dumpus($x, True) → Yumpus($x, True)\nrule3: Jompus($x, True) → Luminous($x, True)\nrule4: Yumpus($x, True) → Opaque($x, False)\nrule5: Yumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Floral($x, True)\nrule7: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Luminous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Yumpus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nNumpus('Sam', True)\nLuminous('Sam', False)\nOpaque('Sam', False)\nFloral('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sam', False)\nAccording to the implied fact: Numpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-457_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Dumpuses are fruity. Dumpuses are zumpuses. Zumpuses are not nervous. Every zumpus is an impus. Every impus is spicy. Every impus is a rompus. Each rompus is large. Rompuses are wumpuses. Every wumpus is wooden. Every numpus is not large. Every wumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Fruity($x, True)\nrule2: Dumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Nervous($x, False)\nrule4: Zumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Spicy($x, True)\nrule6: Impus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Large($x, True)\nrule8: Rompus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Wooden($x, True)\nrule10: Numpus($x, True) → Large($x, False)\nrule11: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nWumpus('Sam', True)\nSpicy('Sam', True)\nLarge('Sam', True)\nWooden('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Sam', True)\nAccording to the implied fact: Wooden('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-336_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a rompus. Impuses are not cold. Each vumpus is sour. Vumpuses are rompuses. Rompuses are opaque. Rompuses are yumpuses. Yumpuses are cold. Every yumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Cold($x, False)\nrule2: Vumpus($x, True) → Sour($x, True)\nrule3: Vumpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Opaque($x, True)\nrule5: Rompus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Cold($x, True)\nrule7: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nOpaque('Polly', True)\nCold('Polly', True)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Polly', False)\nAccording to the implied fact: Opaque('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-152_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Tumpuses are transparent. Each tumpus is a numpus. Each numpus is earthy. Every zumpus is not transparent. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Transparent($x, True)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Earthy($x, True)\nrule4: Zumpus($x, True) → Transparent($x, False)\nrule5: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Numpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nTransparent('Fae', True)\nEarthy('Fae', True)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', False)\nAccording to the known fact: Tumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-221_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Each jompus is brown. Jompuses are impuses. Impuses are bright. Each impus is a numpus. Numpuses are not nervous. Numpuses are zumpuses. Zumpuses are kind. Zumpuses are wumpuses. Tumpuses are not kind. Each wumpus is not cold. Every wumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Brown($x, True)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Bright($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Nervous($x, False)\nrule6: Numpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Kind($x, True)\nrule8: Zumpus($x, True) → Wumpus($x, True)\nrule9: Tumpus($x, True) → Kind($x, False)\nrule10: Wumpus($x, True) → Cold($x, False)\nrule11: Wumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Brown($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Brown('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Nervous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Wumpus($x, True) → Cold($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nNumpus('Rex', True)\nZumpus('Rex', True)\nWumpus('Rex', True)\nBrown('Rex', True)\nBright('Rex', True)\nNervous('Rex', False)\nKind('Rex', True)\nCold('Rex', False)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Rex', False)\nAccording to the implied fact: Wumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-221_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Every numpus is nervous. Each numpus is a tumpus. Tumpuses are not luminous. Every tumpus is a wumpus. Every dumpus is large. Every wumpus is fruity. Wumpuses are impuses. Impuses are not large. Impuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Nervous($x, True)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Luminous($x, False)\nrule4: Tumpus($x, True) → Wumpus($x, True)\nrule5: Dumpus($x, True) → Large($x, True)\nrule6: Wumpus($x, True) → Fruity($x, True)\nrule7: Wumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Large($x, False)\nrule9: Impus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Luminous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Wumpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Large($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Rex', True)\nWumpus('Rex', True)\nImpus('Rex', True)\nNervous('Rex', True)\nLuminous('Rex', False)\nFruity('Rex', True)\nLarge('Rex', False)\nYumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Rex', False)\nAccording to the implied fact: Impus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-308_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Jompuses are earthy. Each jompus is a wumpus. Each numpus is liquid. Every wumpus is blue. Wumpuses are impuses. Every impus is not dull. Every impus is a yumpus. Yumpuses are not feisty. Every yumpus is a vumpus. Each vumpus is not liquid. Vumpuses are rompuses. Each rompus is transparent. Rompuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Earthy($x, True)\nrule2: Jompus($x, True) → Wumpus($x, True)\nrule3: Numpus($x, True) → Liquid($x, True)\nrule4: Wumpus($x, True) → Blue($x, True)\nrule5: Wumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Dull($x, False)\nrule7: Impus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Feisty($x, False)\nrule9: Yumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Liquid($x, False)\nrule11: Vumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Transparent($x, True)\nrule13: Rompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Dull($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Feisty($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Liquid($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nYumpus('Rex', True)\nVumpus('Rex', True)\nRompus('Rex', True)\nBlue('Rex', True)\nDull('Rex', False)\nFeisty('Rex', False)\nLiquid('Rex', False)\nTransparent('Rex', True)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Rex', True)\nAccording to the implied fact: Yumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-191_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a jompus. Each impus is transparent. Vumpuses are not fruity. Impuses are yumpuses. Yumpuses are shy. Every yumpus is a jompus. Every jompus is fruity. Every jompus is a zumpus. Each zumpus is not bright. Zumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Transparent($x, True)\nrule2: Vumpus($x, True) → Fruity($x, False)\nrule3: Impus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Shy($x, True)\nrule5: Yumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Fruity($x, True)\nrule7: Jompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Bright($x, False)\nrule9: Zumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Jompus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nFruity('Wren', True)\nBright('Wren', False)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Wren', False)\nAccording to the known fact: Jompus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-230_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Each wumpus is cold. Every wumpus is a yumpus. Every yumpus is not liquid. Every yumpus is a dumpus. Dumpuses are blue. Every dumpus is a tumpus. Every tumpus is opaque. Tumpuses are rompuses. Vumpuses are not blue.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Cold($x, True)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Liquid($x, False)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Blue($x, True)\nrule6: Dumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Opaque($x, True)\nrule8: Tumpus($x, True) → Rompus($x, True)\nrule9: Vumpus($x, True) → Blue($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Liquid($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nDumpus('Max', True)\nTumpus('Max', True)\nLiquid('Max', False)\nBlue('Max', True)\nOpaque('Max', True)\nRompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Max', True)\nAccording to the implied fact: Dumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-424_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Wumpuses are not red. Every jompus is red. Wumpuses are vumpuses. Vumpuses are not large. Each vumpus is a numpus. Numpuses are floral. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Red($x, False)\nrule2: Jompus($x, True) → Red($x, True)\nrule3: Wumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Large($x, False)\nrule5: Vumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Floral($x, True)\nrule7: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Red($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Floral($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nNumpus('Stella', True)\nRed('Stella', False)\nLarge('Stella', False)\nFloral('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Stella', True)\nAccording to the implied fact: Red('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-173_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Rompuses are small. Wumpuses are not small. Rompuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Small($x, True)\nrule2: Wumpus($x, True) → Small($x, False)\nrule3: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nSmall('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Wren', True)\nAccording to the implied fact: Small('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-115_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a numpus. Every yumpus is transparent. Yumpuses are numpuses. Numpuses are luminous. Numpuses are jompuses. Jompuses are feisty. Each jompus is an impus. Each impus is not dull. Impuses are dumpuses. Dumpuses are small. Every wumpus is not small. Dumpuses are tumpuses. Tumpuses are sour. Each tumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Transparent($x, True)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Luminous($x, True)\nrule4: Numpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Feisty($x, True)\nrule6: Jompus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Dull($x, False)\nrule8: Impus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Small($x, True)\nrule10: Wumpus($x, True) → Small($x, False)\nrule11: Dumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Sour($x, True)\nrule13: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Dull($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Sour($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nImpus('Sam', True)\nDumpus('Sam', True)\nTumpus('Sam', True)\nLuminous('Sam', True)\nFeisty('Sam', True)\nDull('Sam', False)\nSmall('Sam', True)\nSour('Sam', True)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', True)\nAccording to the implied fact: Rompus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-163_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Numpuses are opaque. Numpuses are impuses. Every impus is liquid. Every impus is a zumpus. Zumpuses are not dull. Every zumpus is a wumpus. Wumpuses are angry. Each wumpus is a yumpus. Every yumpus is large. Yumpuses are jompuses. Dumpuses are not shy. Every jompus is brown. Jompuses are vumpuses. Vumpuses are earthy. Vumpuses are tumpuses. Each tumpus is shy. Every tumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Opaque($x, True)\nrule2: Numpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Liquid($x, True)\nrule4: Impus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Dull($x, False)\nrule6: Zumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Angry($x, True)\nrule8: Wumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Large($x, True)\nrule10: Yumpus($x, True) → Jompus($x, True)\nrule11: Dumpus($x, True) → Shy($x, False)\nrule12: Jompus($x, True) → Brown($x, True)\nrule13: Jompus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Earthy($x, True)\nrule15: Vumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Shy($x, True)\nrule17: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Wumpus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Jompus($x, True) → Brown($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nJompus('Fae', True)\nVumpus('Fae', True)\nTumpus('Fae', True)\nAngry('Fae', True)\nLarge('Fae', True)\nBrown('Fae', True)\nEarthy('Fae', True)\nShy('Fae', True)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Fae', True)\nAccording to the implied fact: Large('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-186_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Wumpuses are mean. Every wumpus is a tumpus. Each tumpus is feisty. Tumpuses are impuses. Every impus is dull. Every impus is a vumpus. Every vumpus is opaque. Vumpuses are zumpuses. Zumpuses are small. Each yumpus is not floral. Zumpuses are numpuses. Every numpus is bitter. Numpuses are dumpuses. Every dumpus is floral. Dumpuses are rompuses. Each rompus is red. Every rompus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Mean($x, True)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Feisty($x, True)\nrule4: Tumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Dull($x, True)\nrule6: Impus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Opaque($x, True)\nrule8: Vumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Small($x, True)\nrule10: Yumpus($x, True) → Floral($x, False)\nrule11: Zumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Bitter($x, True)\nrule13: Numpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Floral($x, True)\nrule15: Dumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Red($x, True)\nrule17: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Sam', True)\nZumpus('Sam', True)\nNumpus('Sam', True)\nDumpus('Sam', True)\nRompus('Sam', True)\nDull('Sam', True)\nOpaque('Sam', True)\nSmall('Sam', True)\nBitter('Sam', True)\nFloral('Sam', True)\nRed('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sam', True)\nAccording to the implied fact: Zumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-340_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Every rompus is transparent. Each vumpus is small. Each vumpus is a jompus. Each jompus is not bitter. Every jompus is a yumpus. Yumpuses are luminous. Yumpuses are zumpuses. Zumpuses are not transparent. Zumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Transparent($x, True)\nrule2: Vumpus($x, True) → Small($x, True)\nrule3: Vumpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Bitter($x, False)\nrule5: Jompus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Luminous($x, True)\nrule7: Yumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Transparent($x, False)\nrule9: Zumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nZumpus('Polly', True)\nBitter('Polly', False)\nLuminous('Polly', True)\nTransparent('Polly', False)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Polly', True)\nAccording to the implied fact: Yumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-369_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Impuses are not large. Every impus is a wumpus. Each wumpus is transparent. Each wumpus is a yumpus. Yumpuses are not aggressive. Yumpuses are jompuses. Jompuses are not bright. Jompuses are rompuses. Each rompus is brown. Dumpuses are aggressive. Each rompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Large($x, False)\nrule2: Impus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Transparent($x, True)\nrule4: Wumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Aggressive($x, False)\nrule6: Yumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Bright($x, False)\nrule8: Jompus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Brown($x, True)\nrule10: Dumpus($x, True) → Aggressive($x, True)\nrule11: Rompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Yumpus($x, True) → Aggressive($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Brown($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nRompus('Sally', True)\nAggressive('Sally', False)\nBright('Sally', False)\nBrown('Sally', True)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sally', True)\nAccording to the implied fact: Jompus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-442_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Zumpuses are happy. Jompuses are temperate. Jompuses are numpuses. Every numpus is not happy. Numpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Happy($x, True)\nrule2: Jompus($x, True) → Temperate($x, True)\nrule3: Jompus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Happy($x, False)\nrule5: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Happy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nHappy('Sally', False)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sally', True)\nAccording to the implied fact: Tumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-12_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Zumpuses are not luminous. Each zumpus is a jompus. Jompuses are happy. Jompuses are tumpuses. Every tumpus is small. Every tumpus is a yumpus. Yumpuses are red. Each yumpus is a numpus. Every numpus is not spicy. Each rompus is spicy. Every numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Luminous($x, False)\nrule2: Zumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Happy($x, True)\nrule4: Jompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Small($x, True)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Red($x, True)\nrule8: Yumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Spicy($x, False)\nrule10: Rompus($x, True) → Spicy($x, True)\nrule11: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Luminous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Happy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Happy('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Red($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Spicy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nTumpus('Rex', True)\nYumpus('Rex', True)\nNumpus('Rex', True)\nLuminous('Rex', False)\nHappy('Rex', True)\nSmall('Rex', True)\nRed('Rex', True)\nSpicy('Rex', False)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Rex', False)\nAccording to the implied fact: Small('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-199_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is an impus. Every wumpus is not mean. Wumpuses are vumpuses. Vumpuses are not fruity. Every vumpus is a rompus. Every rompus is feisty. Rompuses are impuses. Impuses are not blue. Every impus is a dumpus. Dumpuses are not metallic. Dumpuses are yumpuses. Yumpuses are not cold. Every yumpus is a jompus. Every jompus is not bright. Zumpuses are bright. Jompuses are numpuses. Each numpus is not sour. Numpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Mean($x, False)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Fruity($x, False)\nrule4: Vumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Feisty($x, True)\nrule6: Rompus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Blue($x, False)\nrule8: Impus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Metallic($x, False)\nrule10: Dumpus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Cold($x, False)\nrule12: Yumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Bright($x, False)\nrule14: Zumpus($x, True) → Bright($x, True)\nrule15: Jompus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Sour($x, False)\nrule17: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Impus($x, True) → Blue($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Blue('Polly', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Metallic($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Cold($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Bright($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Sour($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Sour('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nYumpus('Polly', True)\nJompus('Polly', True)\nNumpus('Polly', True)\nBlue('Polly', False)\nMetallic('Polly', False)\nCold('Polly', False)\nBright('Polly', False)\nSour('Polly', False)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Polly', True)\nAccording to the implied fact: Sour('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-470_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Every jompus is angry. Jompuses are rompuses. Rompuses are transparent. Rompuses are numpuses. Numpuses are not fruity. Every numpus is a zumpus. Zumpuses are not shy. Vumpuses are fruity. Zumpuses are wumpuses. Wumpuses are not hot. Wumpuses are impuses. Each impus is not bright. Every impus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Angry($x, True)\nrule2: Jompus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Transparent($x, True)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Fruity($x, False)\nrule6: Numpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Shy($x, False)\nrule8: Vumpus($x, True) → Fruity($x, True)\nrule9: Zumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Hot($x, False)\nrule11: Wumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Bright($x, False)\nrule13: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Fruity($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Shy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Bright($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nZumpus('Alex', True)\nWumpus('Alex', True)\nImpus('Alex', True)\nTransparent('Alex', True)\nFruity('Alex', False)\nShy('Alex', False)\nHot('Alex', False)\nBright('Alex', False)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Alex', True)\nAccording to the implied fact: Transparent('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-30_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Each yumpus is wooden. Each yumpus is a tumpus. Tumpuses are not cold. Jompuses are not wooden. Every tumpus is a vumpus. Vumpuses are earthy. Every vumpus is a wumpus. Each wumpus is not angry. Each wumpus is an impus. Each impus is brown. Every impus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Wooden($x, True)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Cold($x, False)\nrule4: Jompus($x, True) → Wooden($x, False)\nrule5: Tumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Earthy($x, True)\nrule7: Vumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Angry($x, False)\nrule9: Wumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Brown($x, True)\nrule11: Impus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Cold($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Angry($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nVumpus('Wren', True)\nWumpus('Wren', True)\nImpus('Wren', True)\nWooden('Wren', True)\nCold('Wren', False)\nEarthy('Wren', True)\nAngry('Wren', False)\nBrown('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Wren', True)\nAccording to the implied fact: Cold('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-144_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Jompuses are luminous. Jompuses are wumpuses. Wumpuses are not transparent. Wumpuses are dumpuses. Dumpuses are not earthy. Each dumpus is an impus. Each impus is cold. Each yumpus is not dull. Each impus is a rompus. Every rompus is not nervous. Rompuses are tumpuses. Tumpuses are sour. Tumpuses are numpuses. Each numpus is dull. Numpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Luminous($x, True)\nrule2: Jompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Transparent($x, False)\nrule4: Wumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Earthy($x, False)\nrule6: Dumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Cold($x, True)\nrule8: Yumpus($x, True) → Dull($x, False)\nrule9: Impus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Nervous($x, False)\nrule11: Rompus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Sour($x, True)\nrule13: Tumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Dull($x, True)\nrule15: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Rompus($x, True) → Nervous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Sour($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nNumpus('Sam', True)\nNervous('Sam', False)\nSour('Sam', True)\nDull('Sam', True)\nZumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sam', False)\nAccording to the implied fact: Tumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-497_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Every rompus is dull. Each rompus is a vumpus. Each vumpus is sour. Vumpuses are numpuses. Numpuses are cold. Each numpus is a zumpus. Every zumpus is floral. Tumpuses are not wooden. Zumpuses are jompuses. Jompuses are aggressive. Every jompus is a wumpus. Every wumpus is wooden. Wumpuses are yumpuses. Yumpuses are not transparent. Each yumpus is an impus. Every impus is not brown. Impuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Dull($x, True)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Sour($x, True)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Cold($x, True)\nrule6: Numpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Floral($x, True)\nrule8: Tumpus($x, True) → Wooden($x, False)\nrule9: Zumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Aggressive($x, True)\nrule11: Jompus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Wooden($x, True)\nrule13: Wumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Transparent($x, False)\nrule15: Yumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Brown($x, False)\nrule17: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Aggressive($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Transparent($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Brown($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nWumpus('Max', True)\nYumpus('Max', True)\nImpus('Max', True)\nFloral('Max', True)\nAggressive('Max', True)\nWooden('Max', True)\nTransparent('Max', False)\nBrown('Max', False)\nDumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Max', False)\nAccording to the implied fact: Dumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-136_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Each zumpus is transparent. Every rompus is hot. Zumpuses are numpuses. Numpuses are not hot. Numpuses are dumpuses. Each dumpus is metallic. Dumpuses are jompuses. Jompuses are large. Each jompus is a yumpus. Yumpuses are not earthy. Each yumpus is a vumpus. Vumpuses are blue. Each vumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, True)\nrule2: Rompus($x, True) → Hot($x, True)\nrule3: Zumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Hot($x, False)\nrule5: Numpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Metallic($x, True)\nrule7: Dumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Large($x, True)\nrule9: Jompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Earthy($x, False)\nrule11: Yumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Blue($x, True)\nrule13: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Hot($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Earthy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nDumpus('Rex', True)\nJompus('Rex', True)\nYumpus('Rex', True)\nVumpus('Rex', True)\nHot('Rex', False)\nMetallic('Rex', True)\nLarge('Rex', True)\nEarthy('Rex', False)\nBlue('Rex', True)\nWumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Rex', False)\nAccording to the implied fact: Earthy('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-427_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Each rompus is blue. Rompuses are yumpuses. Each yumpus is kind. Every yumpus is a tumpus. Tumpuses are small. Tumpuses are wumpuses. Each wumpus is cold. Each wumpus is a numpus. Each numpus is not floral. Numpuses are jompuses. Jompuses are not happy. Each impus is happy. Jompuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nImpus($x, bool) ::: Does x belong to Impuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Blue($x, True)\nrule2: Rompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Kind($x, True)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Small($x, True)\nrule6: Tumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Cold($x, True)\nrule8: Wumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Floral($x, False)\nrule10: Numpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Happy($x, False)\nrule12: Impus($x, True) → Happy($x, True)\nrule13: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Numpus($x, True) → Floral($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Happy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nFloral('Alex', False)\nHappy('Alex', False)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is happy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHappy('Alex', True)\nAccording to the implied fact: Happy('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-425_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Every numpus is opaque. Numpuses are tumpuses. Every vumpus is not temperate. Every tumpus is temperate. Tumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Opaque($x, True)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Vumpus($x, True) → Temperate($x, False)\nrule4: Tumpus($x, True) → Temperate($x, True)\nrule5: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTemperate('Rex', True)\nWumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Rex', False)\nAccording to the known fact: Tumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-32_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Each yumpus is not large. Yumpuses are numpuses. Numpuses are happy. Every numpus is a dumpus. Each dumpus is spicy. Each dumpus is a rompus. Every rompus is fruity. Zumpuses are not mean. Every rompus is a jompus. Jompuses are mean. Each jompus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Large($x, False)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Happy($x, True)\nrule4: Numpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Spicy($x, True)\nrule6: Dumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Fruity($x, True)\nrule8: Zumpus($x, True) → Mean($x, False)\nrule9: Rompus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Mean($x, True)\nrule11: Jompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Happy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Spicy('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Mean($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Mean('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nRompus('Fae', True)\nJompus('Fae', True)\nHappy('Fae', True)\nSpicy('Fae', True)\nFruity('Fae', True)\nMean('Fae', True)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Fae', False)\nAccording to the implied fact: Spicy('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-226_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Each rompus is opaque. Each rompus is a zumpus. Zumpuses are large. Zumpuses are vumpuses. Each vumpus is not bright. Vumpuses are dumpuses. Each dumpus is not cold. Dumpuses are yumpuses. Each numpus is liquid. Yumpuses are spicy. Every yumpus is a tumpus. Tumpuses are brown. Tumpuses are impuses. Every impus is floral. Impuses are wumpuses. Wumpuses are not liquid. Wumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Opaque($x, True)\nrule2: Rompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Large($x, True)\nrule4: Zumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Bright($x, False)\nrule6: Vumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Cold($x, False)\nrule8: Dumpus($x, True) → Yumpus($x, True)\nrule9: Numpus($x, True) → Liquid($x, True)\nrule10: Yumpus($x, True) → Spicy($x, True)\nrule11: Yumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Brown($x, True)\nrule13: Tumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Floral($x, True)\nrule15: Impus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Liquid($x, False)\nrule17: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Dumpus($x, True) → Cold($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Yumpus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Brown($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Liquid($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nTumpus('Max', True)\nImpus('Max', True)\nWumpus('Max', True)\nCold('Max', False)\nSpicy('Max', True)\nBrown('Max', True)\nFloral('Max', True)\nLiquid('Max', False)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Max', False)\nAccording to the implied fact: Brown('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-421_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Wumpuses are not hot. Wumpuses are numpuses. Every numpus is opaque. Each numpus is a rompus. Rompuses are earthy. Rompuses are tumpuses. Each impus is not orange. Every tumpus is mean. Every tumpus is a vumpus. Each vumpus is not shy. Vumpuses are jompuses. Every jompus is bright. Jompuses are zumpuses. Every zumpus is orange. Each zumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Hot($x, False)\nrule2: Wumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Opaque($x, True)\nrule4: Numpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Earthy($x, True)\nrule6: Rompus($x, True) → Tumpus($x, True)\nrule7: Impus($x, True) → Orange($x, False)\nrule8: Tumpus($x, True) → Mean($x, True)\nrule9: Tumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Shy($x, False)\nrule11: Vumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Bright($x, True)\nrule13: Jompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Orange($x, True)\nrule15: Zumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Jompus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Orange($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Orange('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nZumpus('Sally', True)\nBright('Sally', True)\nOrange('Sally', True)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Sally', False)\nAccording to the implied fact: Orange('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-173_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a numpus. Every numpus is not sweet. Numpuses are jompuses. Jompuses are hot. Every wumpus is sweet. Each jompus is a vumpus. Each vumpus is brown. Each vumpus is a rompus. Rompuses are angry. Each rompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Sweet($x, False)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Hot($x, True)\nrule4: Wumpus($x, True) → Sweet($x, True)\nrule5: Jompus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Brown($x, True)\nrule7: Vumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Angry($x, True)\nrule9: Rompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Sweet($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Brown($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Angry($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nVumpus('Max', True)\nRompus('Max', True)\nSweet('Max', False)\nHot('Max', True)\nBrown('Max', True)\nAngry('Max', True)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Max', True)\nAccording to the implied fact: Jompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-253_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Tumpuses are sour. Tumpuses are impuses. Every impus is large. Impuses are numpuses. Numpuses are not mean. Numpuses are vumpuses. Every zumpus is not happy. Vumpuses are not liquid. Each vumpus is a rompus. Rompuses are cold. Each rompus is a yumpus. Yumpuses are orange. Each yumpus is a jompus. Each jompus is happy. Jompuses are dumpuses. Dumpuses are floral. Dumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Sour($x, True)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Large($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Mean($x, False)\nrule6: Numpus($x, True) → Vumpus($x, True)\nrule7: Zumpus($x, True) → Happy($x, False)\nrule8: Vumpus($x, True) → Liquid($x, False)\nrule9: Vumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Cold($x, True)\nrule11: Rompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Orange($x, True)\nrule13: Yumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Happy($x, True)\nrule15: Jompus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Floral($x, True)\nrule17: Dumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Mean($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Mean('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Vumpus($x, True) → Liquid($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Liquid('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Floral($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nRompus('Stella', True)\nYumpus('Stella', True)\nJompus('Stella', True)\nDumpus('Stella', True)\nMean('Stella', False)\nLiquid('Stella', False)\nCold('Stella', True)\nOrange('Stella', True)\nHappy('Stella', True)\nFloral('Stella', True)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Stella', True)\nAccording to the implied fact: Rompus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-264_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Every rompus is fruity. Every rompus is an impus. Each zumpus is not large. Every impus is not hot. Every impus is a dumpus. Each dumpus is happy. Every dumpus is a numpus. Every numpus is opaque. Numpuses are wumpuses. Wumpuses are dull. Wumpuses are vumpuses. Each vumpus is large. Each vumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Fruity($x, True)\nrule2: Rompus($x, True) → Impus($x, True)\nrule3: Zumpus($x, True) → Large($x, False)\nrule4: Impus($x, True) → Hot($x, False)\nrule5: Impus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Happy($x, True)\nrule7: Dumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Opaque($x, True)\nrule9: Numpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Dull($x, True)\nrule11: Wumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Large($x, True)\nrule13: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Dumpus($x, True) → Happy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nWumpus('Fae', True)\nVumpus('Fae', True)\nHappy('Fae', True)\nOpaque('Fae', True)\nDull('Fae', True)\nLarge('Fae', True)\nTumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', True)\nAccording to the implied fact: Tumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-421_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Every tumpus is red. Tumpuses are rompuses. Each rompus is shy. Rompuses are impuses. Impuses are large. Each impus is a numpus. Numpuses are earthy. Each numpus is a dumpus. Each dumpus is bitter. Every jompus is temperate. Every dumpus is a wumpus. Wumpuses are not transparent. Every wumpus is a zumpus. Each zumpus is not temperate. Every zumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Red($x, True)\nrule2: Tumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Shy($x, True)\nrule4: Rompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Large($x, True)\nrule6: Impus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Earthy($x, True)\nrule8: Numpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Bitter($x, True)\nrule10: Jompus($x, True) → Temperate($x, True)\nrule11: Dumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Transparent($x, False)\nrule13: Wumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Temperate($x, False)\nrule15: Zumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Bitter($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Transparent($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Temperate($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nWumpus('Alex', True)\nZumpus('Alex', True)\nEarthy('Alex', True)\nBitter('Alex', True)\nTransparent('Alex', False)\nTemperate('Alex', False)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Alex', True)\nAccording to the implied fact: Zumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-143_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Yumpuses are wooden. Yumpuses are impuses. Every impus is small. Each impus is a dumpus. Every dumpus is not transparent. Every dumpus is a numpus. Every numpus is floral. Vumpuses are temperate. Each numpus is a jompus. Jompuses are spicy. Each jompus is a rompus. Rompuses are orange. Rompuses are zumpuses. Zumpuses are shy. Zumpuses are tumpuses. Tumpuses are not temperate. Tumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Wooden($x, True)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Small($x, True)\nrule4: Impus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Transparent($x, False)\nrule6: Dumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Floral($x, True)\nrule8: Vumpus($x, True) → Temperate($x, True)\nrule9: Numpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Spicy($x, True)\nrule11: Jompus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Orange($x, True)\nrule13: Rompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Shy($x, True)\nrule15: Zumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Temperate($x, False)\nrule17: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Numpus($x, True) → Floral($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Orange($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Shy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Temperate($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nRompus('Alex', True)\nZumpus('Alex', True)\nTumpus('Alex', True)\nFloral('Alex', True)\nSpicy('Alex', True)\nOrange('Alex', True)\nShy('Alex', True)\nTemperate('Alex', False)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', True)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-443_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Each numpus is floral. Numpuses are vumpuses. Dumpuses are not nervous. Each vumpus is brown. Each vumpus is a tumpus. Tumpuses are nervous. Tumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Floral($x, True)\nrule2: Numpus($x, True) → Vumpus($x, True)\nrule3: Dumpus($x, True) → Nervous($x, False)\nrule4: Vumpus($x, True) → Brown($x, True)\nrule5: Vumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Nervous($x, True)\nrule7: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Vumpus($x, True) → Brown($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nVumpus('Fae', True)\nTumpus('Fae', True)\nFloral('Fae', True)\nBrown('Fae', True)\nNervous('Fae', True)\nRompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Fae', True)\nAccording to the implied fact: Floral('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-146_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Every yumpus is cold. Yumpuses are wumpuses. Every wumpus is red. Every wumpus is a rompus. Every rompus is nervous. Every rompus is a vumpus. Every vumpus is not wooden. Vumpuses are numpuses. Each numpus is earthy. Numpuses are impuses. Impuses are small. Impuses are zumpuses. Zumpuses are not transparent. Each zumpus is a jompus. Jompuses are sour. Every tumpus is wooden. Every jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Cold($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Red($x, True)\nrule4: Wumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Nervous($x, True)\nrule6: Rompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Wooden($x, False)\nrule8: Vumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Earthy($x, True)\nrule10: Numpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Small($x, True)\nrule12: Impus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Transparent($x, False)\nrule14: Zumpus($x, True) → Jompus($x, True)\nrule15: Jompus($x, True) → Sour($x, True)\nrule16: Tumpus($x, True) → Wooden($x, True)\nrule17: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Wooden($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Sour($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nRompus('Sam', True)\nVumpus('Sam', True)\nNumpus('Sam', True)\nImpus('Sam', True)\nZumpus('Sam', True)\nJompus('Sam', True)\nCold('Sam', True)\nRed('Sam', True)\nNervous('Sam', True)\nWooden('Sam', False)\nEarthy('Sam', True)\nSmall('Sam', True)\nTransparent('Sam', False)\nSour('Sam', True)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', True)\nAccording to the implied fact: Wumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-313_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Every impus is not floral. Impuses are numpuses. Numpuses are cold. Every numpus is a jompus. Each jompus is opaque. Jompuses are yumpuses. Yumpuses are shy. Every yumpus is a zumpus. Zumpuses are large. Every wumpus is sweet. Zumpuses are rompuses. Rompuses are not sweet. Each rompus is a tumpus. Each tumpus is orange. Each tumpus is a vumpus. Every vumpus is luminous. Vumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Floral($x, False)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Cold($x, True)\nrule4: Numpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Opaque($x, True)\nrule6: Jompus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Shy($x, True)\nrule8: Yumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Large($x, True)\nrule10: Wumpus($x, True) → Sweet($x, True)\nrule11: Zumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Sweet($x, False)\nrule13: Rompus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Orange($x, True)\nrule15: Tumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Luminous($x, True)\nrule17: Vumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Large($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Sweet($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Orange($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Luminous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Stella', True)\nYumpus('Stella', True)\nZumpus('Stella', True)\nRompus('Stella', True)\nTumpus('Stella', True)\nVumpus('Stella', True)\nCold('Stella', True)\nOpaque('Stella', True)\nShy('Stella', True)\nLarge('Stella', True)\nSweet('Stella', False)\nOrange('Stella', True)\nLuminous('Stella', True)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Stella', False)\nAccording to the implied fact: Jompus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-157_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Each vumpus is not dull. Each vumpus is a rompus. Each rompus is luminous. Tumpuses are not luminous. Rompuses are jompuses. Jompuses are small. Jompuses are zumpuses. Every zumpus is not fruity. Zumpuses are wumpuses. Wumpuses are not temperate. Every wumpus is a yumpus. Every yumpus is nervous. Yumpuses are numpuses. Numpuses are not blue. Every numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Dull($x, False)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Luminous($x, True)\nrule4: Tumpus($x, True) → Luminous($x, False)\nrule5: Rompus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Small($x, True)\nrule7: Jompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Fruity($x, False)\nrule9: Zumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Temperate($x, False)\nrule11: Wumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Nervous($x, True)\nrule13: Yumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Blue($x, False)\nrule15: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Luminous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Fruity($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Temperate($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Blue($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nJompus('Alex', True)\nZumpus('Alex', True)\nWumpus('Alex', True)\nYumpus('Alex', True)\nNumpus('Alex', True)\nDull('Alex', False)\nLuminous('Alex', True)\nSmall('Alex', True)\nFruity('Alex', False)\nTemperate('Alex', False)\nNervous('Alex', True)\nBlue('Alex', False)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Alex', True)\nAccording to the implied fact: Blue('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-118_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Wumpuses are wooden. Each wumpus is a vumpus. Vumpuses are shy. Vumpuses are yumpuses. Yumpuses are cold. Yumpuses are dumpuses. Every dumpus is not earthy. Dumpuses are rompuses. Tumpuses are earthy. Rompuses are small. Rompuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Wooden($x, True)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Shy($x, True)\nrule4: Vumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Cold($x, True)\nrule6: Yumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Earthy($x, False)\nrule8: Dumpus($x, True) → Rompus($x, True)\nrule9: Tumpus($x, True) → Earthy($x, True)\nrule10: Rompus($x, True) → Small($x, True)\nrule11: Rompus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Earthy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Rompus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nYumpus('Stella', True)\nDumpus('Stella', True)\nRompus('Stella', True)\nWooden('Stella', True)\nShy('Stella', True)\nCold('Stella', True)\nEarthy('Stella', False)\nSmall('Stella', True)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Stella', True)\nAccording to the implied fact: Wooden('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-441_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a rompus. Impuses are not fruity. Impuses are dumpuses. Dumpuses are orange. Every dumpus is a rompus. Every rompus is not bright. Each tumpus is transparent. Rompuses are wumpuses. Wumpuses are not transparent. Every wumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nRompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Fruity($x, False)\nrule2: Impus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Orange($x, True)\nrule4: Dumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Bright($x, False)\nrule6: Tumpus($x, True) → Transparent($x, True)\nrule7: Rompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Transparent($x, False)\nrule9: Wumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Bright($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Transparent($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Rex', True)\nBright('Rex', False)\nTransparent('Rex', False)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Rex', True)\nAccording to the implied fact: Transparent('Rex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-216_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Each wumpus is liquid. Wumpuses are zumpuses. Zumpuses are angry. Zumpuses are numpuses. Numpuses are sour. Numpuses are impuses. Every impus is nervous. Impuses are jompuses. Jompuses are opaque. Jompuses are rompuses. Every rompus is large. Every rompus is a tumpus. Tumpuses are orange. Each tumpus is a yumpus. Yumpuses are earthy. Vumpuses are not earthy. Every yumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Liquid($x, True)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Angry($x, True)\nrule4: Zumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Sour($x, True)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Nervous($x, True)\nrule8: Impus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Opaque($x, True)\nrule10: Jompus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Large($x, True)\nrule12: Rompus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Orange($x, True)\nrule14: Tumpus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Earthy($x, True)\nrule16: Vumpus($x, True) → Earthy($x, False)\nrule17: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule15: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nEarthy('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Fae', False)\nAccording to the implied fact: Dumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-332_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Dumpuses are not sour. Dumpuses are vumpuses. Each vumpus is wooden. Vumpuses are impuses. Impuses are amenable. Each impus is a tumpus. Tumpuses are small. Each numpus is not small. Tumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Sour($x, False)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Wooden($x, True)\nrule4: Vumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Amenable($x, True)\nrule6: Impus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Small($x, True)\nrule8: Numpus($x, True) → Small($x, False)\nrule9: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Sour($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Amenable($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nImpus('Wren', True)\nTumpus('Wren', True)\nSour('Wren', False)\nWooden('Wren', True)\nAmenable('Wren', True)\nSmall('Wren', True)\nWumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Wren', True)\nAccording to the implied fact: Small('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-96_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Zumpuses are temperate. Zumpuses are jompuses. Jompuses are amenable. Jompuses are dumpuses. Dumpuses are wooden. Vumpuses are not transparent. Each dumpus is a numpus. Every numpus is transparent. Each numpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Temperate($x, True)\nrule2: Zumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Amenable($x, True)\nrule4: Jompus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Wooden($x, True)\nrule6: Vumpus($x, True) → Transparent($x, False)\nrule7: Dumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Transparent($x, True)\nrule9: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Amenable($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Amenable('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Wooden($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nDumpus('Rex', True)\nNumpus('Rex', True)\nTemperate('Rex', True)\nAmenable('Rex', True)\nWooden('Rex', True)\nTransparent('Rex', True)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Rex', True)\nAccording to the implied fact: Dumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-55_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a vumpus. Every vumpus is dull. Vumpuses are numpuses. Every yumpus is spicy. Numpuses are blue. Each numpus is a jompus. Jompuses are not spicy. Jompuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nVumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Dull($x, True)\nrule2: Vumpus($x, True) → Numpus($x, True)\nrule3: Yumpus($x, True) → Spicy($x, True)\nrule4: Numpus($x, True) → Blue($x, True)\nrule5: Numpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Spicy($x, False)\nrule7: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Numpus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Spicy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nJompus('Max', True)\nDull('Max', True)\nBlue('Max', True)\nSpicy('Max', False)\nDumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Max', True)\nAccording to the implied fact: Dumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-175_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Each rompus is not liquid. Every zumpus is brown. Zumpuses are numpuses. Each numpus is liquid. Numpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Liquid($x, False)\nrule2: Zumpus($x, True) → Brown($x, True)\nrule3: Zumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Liquid($x, True)\nrule5: Numpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Zumpus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Liquid('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nNumpus('Stella', True)\nBrown('Stella', True)\nLiquid('Stella', True)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', True)\nAccording to the known fact: Zumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-448_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Rompuses are not earthy. Rompuses are yumpuses. Jompuses are not feisty. Yumpuses are feisty. Each yumpus is a zumpus. Zumpuses are large. Zumpuses are tumpuses. Tumpuses are metallic. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Earthy($x, False)\nrule2: Rompus($x, True) → Yumpus($x, True)\nrule3: Jompus($x, True) → Feisty($x, False)\nrule4: Yumpus($x, True) → Feisty($x, True)\nrule5: Yumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Large($x, True)\nrule7: Zumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Metallic($x, True)\nrule9: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Yumpus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Metallic($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Metallic('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nTumpus('Fae', True)\nFeisty('Fae', True)\nLarge('Fae', True)\nMetallic('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Fae', False)\nAccording to the implied fact: Large('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-278_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Every tumpus is not hot. Each tumpus is a numpus. Numpuses are small. Numpuses are wumpuses. Vumpuses are aggressive. Every wumpus is not aggressive. Wumpuses are rompuses. Every rompus is sweet. Every rompus is a dumpus. Each dumpus is not orange. Every dumpus is a jompus. Jompuses are earthy. Every jompus is an impus. Every impus is metallic. Impuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Hot($x, False)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Small($x, True)\nrule4: Numpus($x, True) → Wumpus($x, True)\nrule5: Vumpus($x, True) → Aggressive($x, True)\nrule6: Wumpus($x, True) → Aggressive($x, False)\nrule7: Wumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Sweet($x, True)\nrule9: Rompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Orange($x, False)\nrule11: Dumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Earthy($x, True)\nrule13: Jompus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Metallic($x, True)\nrule15: Impus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Wumpus($x, True) → Aggressive($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Aggressive('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Orange($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Metallic($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nRompus('Alex', True)\nDumpus('Alex', True)\nJompus('Alex', True)\nImpus('Alex', True)\nSmall('Alex', True)\nAggressive('Alex', False)\nSweet('Alex', True)\nOrange('Alex', False)\nEarthy('Alex', True)\nMetallic('Alex', True)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Alex', False)\nAccording to the implied fact: Orange('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-84_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Every wumpus is red. Zumpuses are luminous. Zumpuses are numpuses. Numpuses are not red. Every numpus is a jompus. Jompuses are not opaque. Jompuses are vumpuses. Vumpuses are cold. Vumpuses are tumpuses. Each tumpus is dull. Each tumpus is a rompus. Rompuses are not small. Each rompus is a yumpus. Each yumpus is not happy. Yumpuses are impuses. Impuses are earthy. Impuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Red($x, True)\nrule2: Zumpus($x, True) → Luminous($x, True)\nrule3: Zumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Red($x, False)\nrule5: Numpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Opaque($x, False)\nrule7: Jompus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Cold($x, True)\nrule9: Vumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Dull($x, True)\nrule11: Tumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Small($x, False)\nrule13: Rompus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Happy($x, False)\nrule15: Yumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Earthy($x, True)\nrule17: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Zumpus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Red($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Small($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Happy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Sam', True)\nJompus('Sam', True)\nVumpus('Sam', True)\nTumpus('Sam', True)\nRompus('Sam', True)\nYumpus('Sam', True)\nImpus('Sam', True)\nLuminous('Sam', True)\nRed('Sam', False)\nOpaque('Sam', False)\nCold('Sam', True)\nDull('Sam', True)\nSmall('Sam', False)\nHappy('Sam', False)\nEarthy('Sam', True)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is happy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHappy('Sam', True)\nAccording to the implied fact: Happy('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-451_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Each rompus is transparent. Rompuses are jompuses. Each jompus is not fruity. Jompuses are dumpuses. Each dumpus is small. Dumpuses are tumpuses. Tumpuses are blue. Each tumpus is a numpus. Every numpus is temperate. Each numpus is a vumpus. Each wumpus is not blue. Vumpuses are dull. Each vumpus is a yumpus. Every yumpus is angry. Yumpuses are impuses. Every impus is nervous. Impuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Transparent($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Fruity($x, False)\nrule4: Jompus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Small($x, True)\nrule6: Dumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Blue($x, True)\nrule8: Tumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Temperate($x, True)\nrule10: Numpus($x, True) → Vumpus($x, True)\nrule11: Wumpus($x, True) → Blue($x, False)\nrule12: Vumpus($x, True) → Dull($x, True)\nrule13: Vumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Angry($x, True)\nrule15: Yumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Nervous($x, True)\nrule17: Impus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nNumpus('Fae', True)\nVumpus('Fae', True)\nYumpus('Fae', True)\nImpus('Fae', True)\nSmall('Fae', True)\nBlue('Fae', True)\nTemperate('Fae', True)\nDull('Fae', True)\nAngry('Fae', True)\nNervous('Fae', True)\nZumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Fae', True)\nAccording to the implied fact: Yumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-130_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Zumpuses are fruity. Zumpuses are rompuses. Every rompus is dull. Rompuses are tumpuses. Tumpuses are not sour. Every tumpus is a vumpus. Vumpuses are not transparent. Vumpuses are wumpuses. Each wumpus is amenable. Every wumpus is an impus. Dumpuses are nervous. Impuses are large. Every impus is a jompus. Every jompus is not nervous. Jompuses are numpuses. Numpuses are brown. Every numpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Fruity($x, True)\nrule2: Zumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Dull($x, True)\nrule4: Rompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Sour($x, False)\nrule6: Tumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Transparent($x, False)\nrule8: Vumpus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Amenable($x, True)\nrule10: Wumpus($x, True) → Impus($x, True)\nrule11: Dumpus($x, True) → Nervous($x, True)\nrule12: Impus($x, True) → Large($x, True)\nrule13: Impus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Nervous($x, False)\nrule15: Jompus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Brown($x, True)\nrule17: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Impus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Nervous($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Brown($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nNumpus('Max', True)\nLarge('Max', True)\nNervous('Max', False)\nBrown('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Max', False)\nAccording to the implied fact: Nervous('Max', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-472_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a rompus. Jompuses are not liquid. Jompuses are numpuses. Numpuses are brown. Every numpus is a rompus. Rompuses are aggressive. Rompuses are impuses. Impuses are earthy. Impuses are vumpuses. Each vumpus is spicy. Vumpuses are wumpuses. Wumpuses are transparent. Each wumpus is a zumpus. Zumpuses are happy. Every zumpus is a yumpus. Yumpuses are temperate. Yumpuses are tumpuses. Dumpuses are not transparent.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAggressive($x, bool) ::: Is x aggressive?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nRompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Liquid($x, False)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Brown($x, True)\nrule4: Numpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Aggressive($x, True)\nrule6: Rompus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Earthy($x, True)\nrule8: Impus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Spicy($x, True)\nrule10: Vumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Transparent($x, True)\nrule12: Wumpus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Happy($x, True)\nrule14: Zumpus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Temperate($x, True)\nrule16: Yumpus($x, True) → Tumpus($x, True)\nrule17: Dumpus($x, True) → Transparent($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Happy('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nVumpus('Rex', True)\nWumpus('Rex', True)\nZumpus('Rex', True)\nYumpus('Rex', True)\nAggressive('Rex', True)\nEarthy('Rex', True)\nSpicy('Rex', True)\nTransparent('Rex', True)\nHappy('Rex', True)\nTemperate('Rex', True)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAggressive('Rex', True)\nAccording to the implied fact: Aggressive('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-357_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Vumpuses are not wooden. Every rompus is wooden. Rompuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Wooden($x, False)\nrule2: Rompus($x, True) → Wooden($x, True)\nrule3: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Rompus($x, True) → Wooden($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wooden('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nWooden('Fae', True)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Fae', True)\nAccording to the implied fact: Wooden('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-65_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Zumpuses are bright. Zumpuses are dumpuses. Each dumpus is not opaque. Dumpuses are impuses. Every impus is luminous. Impuses are tumpuses. Wumpuses are not luminous. Each tumpus is not fruity. Tumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Bright($x, True)\nrule2: Zumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Opaque($x, False)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Luminous($x, True)\nrule6: Impus($x, True) → Tumpus($x, True)\nrule7: Wumpus($x, True) → Luminous($x, False)\nrule8: Tumpus($x, True) → Fruity($x, False)\nrule9: Tumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Luminous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Tumpus($x, True) → Fruity($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Max', True)\nImpus('Max', True)\nTumpus('Max', True)\nBright('Max', True)\nOpaque('Max', False)\nLuminous('Max', True)\nFruity('Max', False)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Max', True)\nAccording to the implied fact: Luminous('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-405_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a rompus. Rompuses are bright. Impuses are red. Each rompus is a numpus. Each numpus is small. Each numpus is a dumpus. Every dumpus is not red. Dumpuses are wumpuses. Every wumpus is temperate. Every wumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, True)\nrule2: Impus($x, True) → Red($x, True)\nrule3: Rompus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Small($x, True)\nrule5: Numpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Red($x, False)\nrule7: Dumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Temperate($x, True)\nrule9: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Red($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Stella', True)\nDumpus('Stella', True)\nWumpus('Stella', True)\nBright('Stella', True)\nSmall('Stella', True)\nRed('Stella', False)\nTemperate('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Stella', True)\nAccording to the implied fact: Red('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-165_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Each wumpus is metallic. Each wumpus is a vumpus. Each vumpus is large. Vumpuses are impuses. Impuses are fruity. Impuses are dumpuses. Each dumpus is sweet. Every dumpus is a yumpus. Each yumpus is not bright. Every yumpus is a rompus. Each zumpus is bright. Each rompus is not happy. Each rompus is a jompus. Jompuses are not opaque. Jompuses are tumpuses. Every tumpus is cold. Each tumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHappy($x, bool) ::: Is x happy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Metallic($x, True)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Large($x, True)\nrule4: Vumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Fruity($x, True)\nrule6: Impus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Sweet($x, True)\nrule8: Dumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Bright($x, False)\nrule10: Yumpus($x, True) → Rompus($x, True)\nrule11: Zumpus($x, True) → Bright($x, True)\nrule12: Rompus($x, True) → Happy($x, False)\nrule13: Rompus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Opaque($x, False)\nrule15: Jompus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Cold($x, True)\nrule17: Tumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Metallic($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Large($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Fruity($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Rompus($x, True) → Happy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nImpus('Stella', True)\nDumpus('Stella', True)\nYumpus('Stella', True)\nRompus('Stella', True)\nJompus('Stella', True)\nTumpus('Stella', True)\nMetallic('Stella', True)\nLarge('Stella', True)\nFruity('Stella', True)\nSweet('Stella', True)\nBright('Stella', False)\nHappy('Stella', False)\nOpaque('Stella', False)\nCold('Stella', True)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Stella', False)\nAccording to the implied fact: Tumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-161_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Every zumpus is not transparent. Every zumpus is a yumpus. Every yumpus is happy. Vumpuses are hot. Yumpuses are tumpuses. Each tumpus is not fruity. Each tumpus is a wumpus. Wumpuses are not hot. Wumpuses are rompuses. Each rompus is not dull. Every rompus is a numpus. Numpuses are luminous. Each numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, False)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Happy($x, True)\nrule4: Vumpus($x, True) → Hot($x, True)\nrule5: Yumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Fruity($x, False)\nrule7: Tumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Hot($x, False)\nrule9: Wumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Dull($x, False)\nrule11: Rompus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Luminous($x, True)\nrule13: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Happy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Fruity($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Dull($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nTumpus('Polly', True)\nWumpus('Polly', True)\nRompus('Polly', True)\nNumpus('Polly', True)\nHappy('Polly', True)\nFruity('Polly', False)\nHot('Polly', False)\nDull('Polly', False)\nLuminous('Polly', True)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Polly', False)\nAccording to the known fact: Yumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-418_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Wumpuses are nervous. Every wumpus is a yumpus. Each yumpus is bitter. Each yumpus is an impus. Impuses are fruity. Each zumpus is not fruity. Impuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Nervous($x, True)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Bitter($x, True)\nrule4: Yumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Fruity($x, True)\nrule6: Zumpus($x, True) → Fruity($x, False)\nrule7: Impus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nBitter('Rex', True)\nFruity('Rex', True)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Rex', True)\nAccording to the implied fact: Vumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-275_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Jompuses are opaque. Rompuses are not shy. Rompuses are wumpuses. Wumpuses are not earthy. Wumpuses are yumpuses. Each yumpus is not opaque. Yumpuses are dumpuses. Every dumpus is angry. Every dumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Opaque($x, True)\nrule2: Rompus($x, True) → Shy($x, False)\nrule3: Rompus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Earthy($x, False)\nrule5: Wumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Opaque($x, False)\nrule7: Yumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Angry($x, True)\nrule9: Dumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Yumpus($x, True) → Opaque($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Angry($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Angry('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nOpaque('Alex', False)\nAngry('Alex', True)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Alex', True)\nAccording to the implied fact: Opaque('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-247_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a jompus. Impuses are bitter. Impuses are yumpuses. Yumpuses are fruity. Yumpuses are jompuses. Jompuses are aggressive. Jompuses are tumpuses. Tumpuses are not brown. Every numpus is brown. Each tumpus is a dumpus. Dumpuses are not large. Dumpuses are wumpuses. Each wumpus is hot. Each wumpus is a rompus. Rompuses are transparent. Rompuses are zumpuses. Every zumpus is not luminous. Every zumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Bitter($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Fruity($x, True)\nrule4: Yumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Aggressive($x, True)\nrule6: Jompus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Brown($x, False)\nrule8: Numpus($x, True) → Brown($x, True)\nrule9: Tumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Large($x, False)\nrule11: Dumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Hot($x, True)\nrule13: Wumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Transparent($x, True)\nrule15: Rompus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Luminous($x, False)\nrule17: Zumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Aggressive($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Aggressive('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Brown($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Luminous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nDumpus('Alex', True)\nWumpus('Alex', True)\nRompus('Alex', True)\nZumpus('Alex', True)\nAggressive('Alex', True)\nBrown('Alex', False)\nLarge('Alex', False)\nHot('Alex', True)\nTransparent('Alex', True)\nLuminous('Alex', False)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Alex', True)\nAccording to the implied fact: Large('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-367_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Yumpuses are small. Each yumpus is a tumpus. Rompuses are not transparent. Tumpuses are hot. Every tumpus is a zumpus. Zumpuses are not happy. Each zumpus is a dumpus. Dumpuses are transparent. Each dumpus is a wumpus. Wumpuses are bright. Each wumpus is an impus. Impuses are orange. Every impus is a jompus. Jompuses are metallic. Jompuses are vumpuses. Each vumpus is not amenable. Each vumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Small($x, True)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Rompus($x, True) → Transparent($x, False)\nrule4: Tumpus($x, True) → Hot($x, True)\nrule5: Tumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Happy($x, False)\nrule7: Zumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Transparent($x, True)\nrule9: Dumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Bright($x, True)\nrule11: Wumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Orange($x, True)\nrule13: Impus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Metallic($x, True)\nrule15: Jompus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Amenable($x, False)\nrule17: Vumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Happy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Orange($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Metallic($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Amenable($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nWumpus('Alex', True)\nImpus('Alex', True)\nJompus('Alex', True)\nVumpus('Alex', True)\nHappy('Alex', False)\nTransparent('Alex', True)\nBright('Alex', True)\nOrange('Alex', True)\nMetallic('Alex', True)\nAmenable('Alex', False)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Alex', False)\nAccording to the implied fact: Transparent('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-213_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Each zumpus is sweet. Every zumpus is a vumpus. Vumpuses are not small. Vumpuses are yumpuses. Every tumpus is small. Yumpuses are kind. Each yumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Sweet($x, True)\nrule2: Zumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Small($x, False)\nrule4: Vumpus($x, True) → Yumpus($x, True)\nrule5: Tumpus($x, True) → Small($x, True)\nrule6: Yumpus($x, True) → Kind($x, True)\nrule7: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Yumpus($x, True) → Kind($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nYumpus('Stella', True)\nSweet('Stella', True)\nSmall('Stella', False)\nKind('Stella', True)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Stella', True)\nAccording to the implied fact: Vumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-15_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Wumpuses are not earthy. Every wumpus is an impus. Impuses are not sweet. Every impus is a vumpus. Vumpuses are small. Every vumpus is a dumpus. Each jompus is not feisty. Each dumpus is feisty. Each dumpus is a rompus. Rompuses are transparent. Each rompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Earthy($x, False)\nrule2: Wumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Sweet($x, False)\nrule4: Impus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Small($x, True)\nrule6: Vumpus($x, True) → Dumpus($x, True)\nrule7: Jompus($x, True) → Feisty($x, False)\nrule8: Dumpus($x, True) → Feisty($x, True)\nrule9: Dumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Transparent($x, True)\nrule11: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Dumpus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nRompus('Sam', True)\nSmall('Sam', True)\nFeisty('Sam', True)\nTransparent('Sam', True)\nYumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Sam', False)\nAccording to the implied fact: Feisty('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-233_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Vumpuses are not transparent. Every vumpus is a dumpus. Tumpuses are not hot. Dumpuses are hot. Dumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Transparent($x, False)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Tumpus($x, True) → Hot($x, False)\nrule4: Dumpus($x, True) → Hot($x, True)\nrule5: Dumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Dumpus($x, True) → Hot($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nTransparent('Fae', False)\nHot('Fae', True)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Fae', False)\nAccording to the implied fact: Dumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-405_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Each tumpus is orange. Each tumpus is a numpus. Numpuses are not temperate. Every zumpus is not fruity. Numpuses are impuses. Impuses are dull. Impuses are dumpuses. Dumpuses are not wooden. Dumpuses are jompuses. Jompuses are amenable. Jompuses are vumpuses. Vumpuses are fruity. Every vumpus is a yumpus. Yumpuses are feisty. Every yumpus is a wumpus. Wumpuses are small. Wumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Orange($x, True)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Temperate($x, False)\nrule4: Zumpus($x, True) → Fruity($x, False)\nrule5: Numpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Dull($x, True)\nrule7: Impus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Wooden($x, False)\nrule9: Dumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Amenable($x, True)\nrule11: Jompus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Fruity($x, True)\nrule13: Vumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Feisty($x, True)\nrule15: Yumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Small($x, True)\nrule17: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Impus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Wooden($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Amenable($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Feisty($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Wren', True)\nJompus('Wren', True)\nVumpus('Wren', True)\nYumpus('Wren', True)\nWumpus('Wren', True)\nDull('Wren', True)\nWooden('Wren', False)\nAmenable('Wren', True)\nFruity('Wren', True)\nFeisty('Wren', True)\nSmall('Wren', True)\nRompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Wren', True)\nAccording to the implied fact: Fruity('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-310_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Each dumpus is large. Dumpuses are tumpuses. Tumpuses are fruity. Each tumpus is a yumpus. Impuses are not amenable. Yumpuses are shy. Every yumpus is a numpus. Numpuses are amenable. Every numpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, True)\nrule2: Dumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Fruity($x, True)\nrule4: Tumpus($x, True) → Yumpus($x, True)\nrule5: Impus($x, True) → Amenable($x, False)\nrule6: Yumpus($x, True) → Shy($x, True)\nrule7: Yumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Amenable($x, True)\nrule9: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Yumpus($x, True) → Shy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Amenable($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nShy('Max', True)\nAmenable('Max', True)\nZumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Max', True)\nAccording to the implied fact: Amenable('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-320_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Each impus is floral. Impuses are yumpuses. Yumpuses are not hot. Each yumpus is a zumpus. Every zumpus is transparent. Zumpuses are dumpuses. Each dumpus is not small. Each tumpus is spicy. Each dumpus is a vumpus. Vumpuses are not spicy. Every vumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Floral($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Hot($x, False)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Transparent($x, True)\nrule6: Zumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Small($x, False)\nrule8: Tumpus($x, True) → Spicy($x, True)\nrule9: Dumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Spicy($x, False)\nrule11: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Small($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Spicy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Spicy('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nVumpus('Fae', True)\nTransparent('Fae', True)\nSmall('Fae', False)\nSpicy('Fae', False)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', False)\nAccording to the known fact: Zumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-297_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Tumpuses are blue. Each tumpus is a dumpus. Dumpuses are bitter. Dumpuses are vumpuses. Every vumpus is not dull. Vumpuses are jompuses. Jompuses are opaque. Each wumpus is dull. Jompuses are yumpuses. Every yumpus is cold. Yumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Blue($x, True)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Bitter($x, True)\nrule4: Dumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Dull($x, False)\nrule6: Vumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Opaque($x, True)\nrule8: Wumpus($x, True) → Dull($x, True)\nrule9: Jompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Cold($x, True)\nrule11: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nVumpus('Fae', True)\nJompus('Fae', True)\nYumpus('Fae', True)\nBlue('Fae', True)\nBitter('Fae', True)\nDull('Fae', False)\nOpaque('Fae', True)\nCold('Fae', True)\nNumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Fae', False)\nAccording to the implied fact: Bitter('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-86_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Each zumpus is metallic. Zumpuses are tumpuses. Yumpuses are orange. Tumpuses are large. Every tumpus is a wumpus. Every wumpus is not orange. Wumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Metallic($x, True)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Yumpus($x, True) → Orange($x, True)\nrule4: Tumpus($x, True) → Large($x, True)\nrule5: Tumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Orange($x, False)\nrule7: Wumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Tumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Orange($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Orange('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nWumpus('Wren', True)\nMetallic('Wren', True)\nLarge('Wren', True)\nOrange('Wren', False)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Wren', True)\nAccording to the implied fact: Large('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-418_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Every rompus is liquid. Rompuses are dumpuses. Every dumpus is temperate. Dumpuses are wumpuses. Each wumpus is small. Wumpuses are impuses. Impuses are bright. Impuses are yumpuses. Tumpuses are not orange. Every yumpus is orange. Yumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Liquid($x, True)\nrule2: Rompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Temperate($x, True)\nrule4: Dumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Small($x, True)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Bright($x, True)\nrule8: Impus($x, True) → Yumpus($x, True)\nrule9: Tumpus($x, True) → Orange($x, False)\nrule10: Yumpus($x, True) → Orange($x, True)\nrule11: Yumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Impus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Orange('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nBright('Wren', True)\nOrange('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Wren', False)\nAccording to the implied fact: Bright('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-372_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Each dumpus is luminous. Each dumpus is a jompus. Each jompus is floral. Jompuses are vumpuses. Each vumpus is opaque. Vumpuses are tumpuses. Each zumpus is not opaque. Tumpuses are shy. Tumpuses are rompuses. Rompuses are not hot. Each rompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Luminous($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Floral($x, True)\nrule4: Jompus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Opaque($x, True)\nrule6: Vumpus($x, True) → Tumpus($x, True)\nrule7: Zumpus($x, True) → Opaque($x, False)\nrule8: Tumpus($x, True) → Shy($x, True)\nrule9: Tumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Hot($x, False)\nrule11: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Luminous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Hot($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nVumpus('Fae', True)\nTumpus('Fae', True)\nRompus('Fae', True)\nLuminous('Fae', True)\nFloral('Fae', True)\nOpaque('Fae', True)\nShy('Fae', True)\nHot('Fae', False)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', True)\nAccording to the implied fact: Tumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-17_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Wumpuses are not amenable. Each wumpus is a yumpus. Every tumpus is amenable.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Amenable($x, False)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Tumpus($x, True) → Amenable($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Amenable($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nAmenable('Alex', False)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Alex', False)\nAccording to the implied fact: Amenable('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-331_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Jompuses are liquid. Every jompus is an impus. Impuses are bitter. Each zumpus is transparent. Impuses are dumpuses. Dumpuses are nervous. Dumpuses are rompuses. Every rompus is not transparent. Rompuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Liquid($x, True)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Bitter($x, True)\nrule4: Zumpus($x, True) → Transparent($x, True)\nrule5: Impus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Nervous($x, True)\nrule7: Dumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Transparent($x, False)\nrule9: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Bitter($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Transparent($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Wren', True)\nRompus('Wren', True)\nBitter('Wren', True)\nNervous('Wren', True)\nTransparent('Wren', False)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Wren', True)\nAccording to the implied fact: Rompus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-185_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Numpuses are dull. Each numpus is a jompus. Jompuses are not liquid. Each jompus is a yumpus. Every impus is liquid.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Dull($x, True)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Liquid($x, False)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Impus($x, True) → Liquid($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Liquid($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Liquid('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nLiquid('Stella', False)\nYumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Stella', True)\nAccording to the known fact: Jompus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-481_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Rompuses are not transparent. Rompuses are tumpuses. Tumpuses are red. Tumpuses are vumpuses. Vumpuses are mean. Wumpuses are not cold. Each vumpus is an impus. Impuses are cold. Impuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Transparent($x, False)\nrule2: Rompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Red($x, True)\nrule4: Tumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Mean($x, True)\nrule6: Wumpus($x, True) → Cold($x, False)\nrule7: Vumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Cold($x, True)\nrule9: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Transparent($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Red($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Mean($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nVumpus('Wren', True)\nImpus('Wren', True)\nTransparent('Wren', False)\nRed('Wren', True)\nMean('Wren', True)\nCold('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Wren', True)\nAccording to the implied fact: Vumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-76_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a tumpus. Every rompus is temperate. Rompuses are vumpuses. Each vumpus is not nervous. Each vumpus is a tumpus. Tumpuses are not small. Tumpuses are impuses. Each impus is not floral. Every impus is a yumpus. Each yumpus is liquid. Yumpuses are wumpuses. Wumpuses are not bitter. Wumpuses are dumpuses. Every jompus is bitter. Each dumpus is bright. Dumpuses are numpuses. Every numpus is not kind. Every numpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Temperate($x, True)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Nervous($x, False)\nrule4: Vumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Small($x, False)\nrule6: Tumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Floral($x, False)\nrule8: Impus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Liquid($x, True)\nrule10: Yumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Bitter($x, False)\nrule12: Wumpus($x, True) → Dumpus($x, True)\nrule13: Jompus($x, True) → Bitter($x, True)\nrule14: Dumpus($x, True) → Bright($x, True)\nrule15: Dumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Kind($x, False)\nrule17: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Small($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Floral($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Bitter($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Kind($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Kind('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nYumpus('Sally', True)\nWumpus('Sally', True)\nDumpus('Sally', True)\nNumpus('Sally', True)\nSmall('Sally', False)\nFloral('Sally', False)\nLiquid('Sally', True)\nBitter('Sally', False)\nBright('Sally', True)\nKind('Sally', False)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sally', True)\nAccording to the known fact: Tumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-344_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Every yumpus is not blue. Yumpuses are impuses. Impuses are mean. Every tumpus is spicy. Impuses are wumpuses. Wumpuses are not fruity. Wumpuses are dumpuses. Every dumpus is not hot. Every dumpus is a rompus. Rompuses are not opaque. Each rompus is a zumpus. Each zumpus is shy. Every zumpus is a numpus. Numpuses are wooden. Numpuses are vumpuses. Vumpuses are not spicy. Each vumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\nMean($x, bool) ::: Is x mean?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Blue($x, False)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Mean($x, True)\nrule4: Tumpus($x, True) → Spicy($x, True)\nrule5: Impus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Fruity($x, False)\nrule7: Wumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Hot($x, False)\nrule9: Dumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Opaque($x, False)\nrule11: Rompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Shy($x, True)\nrule13: Zumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Wooden($x, True)\nrule15: Numpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Spicy($x, False)\nrule17: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Dumpus($x, True) → Hot($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Shy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Wooden($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Spicy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nZumpus('Sally', True)\nNumpus('Sally', True)\nVumpus('Sally', True)\nHot('Sally', False)\nOpaque('Sally', False)\nShy('Sally', True)\nWooden('Sally', True)\nSpicy('Sally', False)\nJompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Sally', True)\nAccording to the implied fact: Opaque('Sally', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-489_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Every vumpus is shy. Every vumpus is a dumpus. Zumpuses are not shy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Shy($x, True)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Zumpus($x, True) → Shy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nShy('Polly', True)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Polly', True)\nAccording to the implied fact: Dumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-9_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Tumpuses are not wooden. Rompuses are wooden. Rompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Wooden($x, False)\nrule2: Rompus($x, True) → Wooden($x, True)\nrule3: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Rompus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nWooden('Max', True)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Max', False)\nAccording to the implied fact: Wooden('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-162_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Each vumpus is small. Every vumpus is a numpus. Each numpus is not floral. Numpuses are zumpuses. Each zumpus is sweet. Zumpuses are impuses. Every impus is not wooden. Impuses are dumpuses. Rompuses are wooden. Dumpuses are not orange. Every dumpus is a jompus. Jompuses are amenable. Each jompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Small($x, True)\nrule2: Vumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Floral($x, False)\nrule4: Numpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Sweet($x, True)\nrule6: Zumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Wooden($x, False)\nrule8: Impus($x, True) → Dumpus($x, True)\nrule9: Rompus($x, True) → Wooden($x, True)\nrule10: Dumpus($x, True) → Orange($x, False)\nrule11: Dumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Amenable($x, True)\nrule13: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Wooden($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Wooden('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Dumpus($x, True) → Orange($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Amenable($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Amenable('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nImpus('Stella', True)\nDumpus('Stella', True)\nJompus('Stella', True)\nFloral('Stella', False)\nSweet('Stella', True)\nWooden('Stella', False)\nOrange('Stella', False)\nAmenable('Stella', True)\nTumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Stella', False)\nAccording to the implied fact: Floral('Stella', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-134_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Every rompus is cold. Every zumpus is not red. Each rompus is a wumpus. Every wumpus is nervous. Every wumpus is a numpus. Numpuses are red. Numpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Cold($x, True)\nrule2: Zumpus($x, True) → Red($x, False)\nrule3: Rompus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Nervous($x, True)\nrule5: Wumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Red($x, True)\nrule7: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Numpus($x, True) → Red($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nRed('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Stella', True)\nAccording to the implied fact: Jompus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-341_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Vumpuses are opaque. Vumpuses are wumpuses. Every wumpus is hot. Each wumpus is a yumpus. Each yumpus is amenable. Every yumpus is an impus. Impuses are bitter. Each impus is a tumpus. Every tumpus is fruity. Each tumpus is a rompus. Each rompus is not liquid. Rompuses are numpuses. Numpuses are bright. Numpuses are dumpuses. Each dumpus is brown. Dumpuses are jompuses. Zumpuses are liquid.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, True)\nrule2: Vumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Hot($x, True)\nrule4: Wumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Amenable($x, True)\nrule6: Yumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Bitter($x, True)\nrule8: Impus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Fruity($x, True)\nrule10: Tumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Liquid($x, False)\nrule12: Rompus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Bright($x, True)\nrule14: Numpus($x, True) → Dumpus($x, True)\nrule15: Dumpus($x, True) → Brown($x, True)\nrule16: Dumpus($x, True) → Jompus($x, True)\nrule17: Zumpus($x, True) → Liquid($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Impus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Liquid($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Liquid('Sam', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Brown($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Brown('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nRompus('Sam', True)\nNumpus('Sam', True)\nDumpus('Sam', True)\nBitter('Sam', True)\nFruity('Sam', True)\nLiquid('Sam', False)\nBright('Sam', True)\nBrown('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sam', True)\nAccording to the implied fact: Numpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-388_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Impuses are nervous. Impuses are rompuses. Rompuses are luminous. Rompuses are vumpuses. Each tumpus is kind. Every vumpus is floral. Vumpuses are numpuses. Numpuses are not kind. Every numpus is a wumpus. Wumpuses are not bitter. Wumpuses are jompuses. Jompuses are opaque. Each jompus is a dumpus. Each dumpus is blue. Every dumpus is a zumpus. Each zumpus is not large. Every zumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nKind($x, bool) ::: Is x kind?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Nervous($x, True)\nrule2: Impus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Luminous($x, True)\nrule4: Rompus($x, True) → Vumpus($x, True)\nrule5: Tumpus($x, True) → Kind($x, True)\nrule6: Vumpus($x, True) → Floral($x, True)\nrule7: Vumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Kind($x, False)\nrule9: Numpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Bitter($x, False)\nrule11: Wumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Opaque($x, True)\nrule13: Jompus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Blue($x, True)\nrule15: Dumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Large($x, False)\nrule17: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Luminous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Kind($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Bitter($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nVumpus('Alex', True)\nNumpus('Alex', True)\nWumpus('Alex', True)\nJompus('Alex', True)\nDumpus('Alex', True)\nZumpus('Alex', True)\nNervous('Alex', True)\nLuminous('Alex', True)\nFloral('Alex', True)\nKind('Alex', False)\nBitter('Alex', False)\nOpaque('Alex', True)\nBlue('Alex', True)\nLarge('Alex', False)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Alex', True)\nAccording to the implied fact: Large('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-398_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Each vumpus is nervous. Each vumpus is a dumpus. Wumpuses are not nervous.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Nervous($x, True)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Wumpus($x, True) → Nervous($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nNervous('Wren', True)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Wren', True)\nAccording to the implied fact: Nervous('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-50_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Impuses are dull. Every impus is a yumpus. Yumpuses are hot. Each yumpus is a zumpus. Dumpuses are not hot.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Dull($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Hot($x, True)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Dumpus($x, True) → Hot($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nDull('Wren', True)\nHot('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', False)\nAccording to the known fact: Impus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-179_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Tumpuses are earthy. Every tumpus is a numpus. Each numpus is aggressive. Numpuses are vumpuses. Vumpuses are happy. Vumpuses are wumpuses. Every zumpus is not dull. Wumpuses are dull. Every wumpus is a jompus. Jompuses are sour. Jompuses are rompuses. Rompuses are cold. Rompuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Earthy($x, True)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Aggressive($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Happy($x, True)\nrule6: Vumpus($x, True) → Wumpus($x, True)\nrule7: Zumpus($x, True) → Dull($x, False)\nrule8: Wumpus($x, True) → Dull($x, True)\nrule9: Wumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Sour($x, True)\nrule11: Jompus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Cold($x, True)\nrule13: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Aggressive($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Aggressive('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Happy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Sour($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nVumpus('Alex', True)\nWumpus('Alex', True)\nJompus('Alex', True)\nRompus('Alex', True)\nEarthy('Alex', True)\nAggressive('Alex', True)\nHappy('Alex', True)\nDull('Alex', True)\nSour('Alex', True)\nCold('Alex', True)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Alex', False)\nAccording to the implied fact: Rompus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-270_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Each dumpus is opaque. Every dumpus is a jompus. Every jompus is not cold. Jompuses are impuses. Every impus is happy. Yumpuses are not sour. Every impus is a rompus. Each rompus is sour. Rompuses are numpuses. Numpuses are not large. Numpuses are zumpuses. Zumpuses are not floral. Zumpuses are tumpuses. Tumpuses are luminous. Tumpuses are vumpuses. Each vumpus is not angry. Vumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAngry($x, bool) ::: Is x angry?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Cold($x, False)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Happy($x, True)\nrule6: Yumpus($x, True) → Sour($x, False)\nrule7: Impus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Sour($x, True)\nrule9: Rompus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Large($x, False)\nrule11: Numpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Floral($x, False)\nrule13: Zumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Luminous($x, True)\nrule15: Tumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Angry($x, False)\nrule17: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Cold($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Happy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Impus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Floral($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Luminous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Angry($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nImpus('Fae', True)\nRompus('Fae', True)\nNumpus('Fae', True)\nZumpus('Fae', True)\nTumpus('Fae', True)\nVumpus('Fae', True)\nOpaque('Fae', True)\nCold('Fae', False)\nHappy('Fae', True)\nSour('Fae', True)\nLarge('Fae', False)\nFloral('Fae', False)\nLuminous('Fae', True)\nAngry('Fae', False)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Fae', True)\nAccording to the implied fact: Impus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-69_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Each vumpus is red. Every impus is sour. Each vumpus is a dumpus. Dumpuses are not sour. Dumpuses are yumpuses. Every yumpus is not amenable. Yumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Red($x, True)\nrule2: Impus($x, True) → Sour($x, True)\nrule3: Vumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Sour($x, False)\nrule5: Dumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Amenable($x, False)\nrule7: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Dumpus($x, True) → Sour($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Amenable($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nSour('Max', False)\nAmenable('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Max', True)\nAccording to the implied fact: Sour('Max', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-436_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Zumpuses are nervous. Zumpuses are vumpuses. Numpuses are not dull. Vumpuses are dull. Each vumpus is a rompus. Every rompus is wooden. Rompuses are impuses. Impuses are not sweet. Every impus is a tumpus. Every tumpus is not brown. Every tumpus is a yumpus. Yumpuses are fruity. Yumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Nervous($x, True)\nrule2: Zumpus($x, True) → Vumpus($x, True)\nrule3: Numpus($x, True) → Dull($x, False)\nrule4: Vumpus($x, True) → Dull($x, True)\nrule5: Vumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Wooden($x, True)\nrule7: Rompus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Sweet($x, False)\nrule9: Impus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Brown($x, False)\nrule11: Tumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Fruity($x, True)\nrule13: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Wooden($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Sweet($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Brown($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nImpus('Alex', True)\nTumpus('Alex', True)\nYumpus('Alex', True)\nDull('Alex', True)\nWooden('Alex', True)\nSweet('Alex', False)\nBrown('Alex', False)\nFruity('Alex', True)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', False)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-155_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Each vumpus is not spicy. Vumpuses are jompuses. Each jompus is bright. Every jompus is a yumpus. Yumpuses are feisty. Yumpuses are numpuses. Each numpus is not angry. Every numpus is a zumpus. Every zumpus is not transparent. Zumpuses are impuses. Rompuses are transparent. Impuses are metallic. Impuses are dumpuses. Each dumpus is not floral. Dumpuses are tumpuses. Tumpuses are red. Each tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Spicy($x, False)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Bright($x, True)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Feisty($x, True)\nrule6: Yumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Angry($x, False)\nrule8: Numpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Transparent($x, False)\nrule10: Zumpus($x, True) → Impus($x, True)\nrule11: Rompus($x, True) → Transparent($x, True)\nrule12: Impus($x, True) → Metallic($x, True)\nrule13: Impus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Floral($x, False)\nrule15: Dumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Red($x, True)\nrule17: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Angry($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Impus($x, True) → Metallic($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nNumpus('Sam', True)\nZumpus('Sam', True)\nImpus('Sam', True)\nDumpus('Sam', True)\nTumpus('Sam', True)\nBright('Sam', True)\nFeisty('Sam', True)\nAngry('Sam', False)\nTransparent('Sam', False)\nMetallic('Sam', True)\nFloral('Sam', False)\nRed('Sam', True)\nWumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sam', True)\nAccording to the implied fact: Tumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-491_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Each rompus is floral. Rompuses are jompuses. Impuses are not luminous. Jompuses are luminous. Every jompus is a vumpus. Every vumpus is dull. Vumpuses are tumpuses. Each tumpus is not kind. Every tumpus is a numpus. Numpuses are not brown. Every numpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Floral($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Impus($x, True) → Luminous($x, False)\nrule4: Jompus($x, True) → Luminous($x, True)\nrule5: Jompus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Dull($x, True)\nrule7: Vumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Kind($x, False)\nrule9: Tumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Brown($x, False)\nrule11: Numpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Jompus($x, True) → Luminous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Kind($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Brown($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nVumpus('Wren', True)\nTumpus('Wren', True)\nNumpus('Wren', True)\nFloral('Wren', True)\nLuminous('Wren', True)\nDull('Wren', True)\nKind('Wren', False)\nBrown('Wren', False)\nWumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Wren', False)\nAccording to the implied fact: Tumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-23_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Every tumpus is earthy. Tumpuses are impuses. Impuses are brown. Impuses are rompuses. Each rompus is not bright. Each rompus is a wumpus. Each jompus is bright. Every wumpus is liquid. Each wumpus is a numpus. Every numpus is amenable. Every numpus is a vumpus. Every vumpus is not sweet. Each vumpus is a zumpus. Zumpuses are not temperate. Zumpuses are dumpuses. Each dumpus is not opaque. Each dumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Earthy($x, True)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Brown($x, True)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Bright($x, False)\nrule6: Rompus($x, True) → Wumpus($x, True)\nrule7: Jompus($x, True) → Bright($x, True)\nrule8: Wumpus($x, True) → Liquid($x, True)\nrule9: Wumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Amenable($x, True)\nrule11: Numpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Sweet($x, False)\nrule13: Vumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Temperate($x, False)\nrule15: Zumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Opaque($x, False)\nrule17: Dumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Amenable($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Sweet($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Temperate($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Max', True)\nNumpus('Max', True)\nVumpus('Max', True)\nZumpus('Max', True)\nDumpus('Max', True)\nBright('Max', False)\nLiquid('Max', True)\nAmenable('Max', True)\nSweet('Max', False)\nTemperate('Max', False)\nOpaque('Max', False)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', False)\nAccording to the implied fact: Vumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-349_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Every zumpus is kind. Every zumpus is a tumpus. Every tumpus is small. Each tumpus is a rompus. Rompuses are wooden. Each rompus is a numpus. Numpuses are not earthy. Numpuses are yumpuses. Each vumpus is not spicy. Yumpuses are shy. Every yumpus is a dumpus. Dumpuses are blue. Dumpuses are wumpuses. Wumpuses are opaque. Each wumpus is a jompus. Every jompus is spicy. Jompuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Kind($x, True)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Small($x, True)\nrule4: Tumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Wooden($x, True)\nrule6: Rompus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Earthy($x, False)\nrule8: Numpus($x, True) → Yumpus($x, True)\nrule9: Vumpus($x, True) → Spicy($x, False)\nrule10: Yumpus($x, True) → Shy($x, True)\nrule11: Yumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Blue($x, True)\nrule13: Dumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Opaque($x, True)\nrule15: Wumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Spicy($x, True)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Yumpus($x, True) → Shy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Spicy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Wren', True)\nWumpus('Wren', True)\nJompus('Wren', True)\nShy('Wren', True)\nBlue('Wren', True)\nOpaque('Wren', True)\nSpicy('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Wren', False)\nAccording to the implied fact: Blue('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-43_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Each zumpus is not luminous. Zumpuses are vumpuses. Vumpuses are floral. Rompuses are temperate. Vumpuses are impuses. Impuses are opaque. Each impus is a tumpus. Tumpuses are not orange. Tumpuses are dumpuses. Dumpuses are kind. Each dumpus is a jompus. Jompuses are bright. Jompuses are yumpuses. Yumpuses are bitter. Yumpuses are wumpuses. Each wumpus is not temperate. Wumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Luminous($x, False)\nrule2: Zumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Floral($x, True)\nrule4: Rompus($x, True) → Temperate($x, True)\nrule5: Vumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Opaque($x, True)\nrule7: Impus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Orange($x, False)\nrule9: Tumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Kind($x, True)\nrule11: Dumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Bright($x, True)\nrule13: Jompus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Bitter($x, True)\nrule15: Yumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Temperate($x, False)\nrule17: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Dumpus($x, True) → Kind($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Bitter($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Temperate($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nYumpus('Wren', True)\nWumpus('Wren', True)\nKind('Wren', True)\nBright('Wren', True)\nBitter('Wren', True)\nTemperate('Wren', False)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Wren', True)\nAccording to the implied fact: Bitter('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-75_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Each wumpus is feisty. Every wumpus is a zumpus. Zumpuses are floral. Zumpuses are numpuses. Numpuses are opaque. Numpuses are tumpuses. Tumpuses are red. Each yumpus is dull. Each tumpus is an impus. Every impus is not dull. Each impus is a dumpus. Each dumpus is not liquid. Dumpuses are vumpuses. Vumpuses are not large. Each vumpus is a rompus. Rompuses are not mean. Rompuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Feisty($x, True)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Floral($x, True)\nrule4: Zumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Opaque($x, True)\nrule6: Numpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Red($x, True)\nrule8: Yumpus($x, True) → Dull($x, True)\nrule9: Tumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Dull($x, False)\nrule11: Impus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Liquid($x, False)\nrule13: Dumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Large($x, False)\nrule15: Vumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Mean($x, False)\nrule17: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Red($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Dull($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Liquid($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Liquid('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Large($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Mean($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Wren', True)\nTumpus('Wren', True)\nImpus('Wren', True)\nDumpus('Wren', True)\nVumpus('Wren', True)\nRompus('Wren', True)\nFloral('Wren', True)\nOpaque('Wren', True)\nRed('Wren', True)\nDull('Wren', False)\nLiquid('Wren', False)\nLarge('Wren', False)\nMean('Wren', False)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Wren', False)\nAccording to the implied fact: Mean('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-409_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Dumpuses are not red. Dumpuses are wumpuses. Wumpuses are not liquid. Wumpuses are vumpuses. Impuses are red.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Red($x, False)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Liquid($x, False)\nrule4: Wumpus($x, True) → Vumpus($x, True)\nrule5: Impus($x, True) → Red($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Red($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Liquid($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nRed('Fae', False)\nLiquid('Fae', False)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Fae', True)\nAccording to the implied fact: Liquid('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-248_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Jompuses are large. Jompuses are impuses. Every impus is spicy. Numpuses are kind. Impuses are dumpuses. Each dumpus is not fruity. Dumpuses are zumpuses. Zumpuses are not orange. Zumpuses are tumpuses. Each tumpus is not kind. Each tumpus is a rompus. Every rompus is cold. Rompuses are yumpuses. Each yumpus is not feisty. Every yumpus is a vumpus. Every vumpus is bright. Vumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Large($x, True)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Spicy($x, True)\nrule4: Numpus($x, True) → Kind($x, True)\nrule5: Impus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Fruity($x, False)\nrule7: Dumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Orange($x, False)\nrule9: Zumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Kind($x, False)\nrule11: Tumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Cold($x, True)\nrule13: Rompus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Feisty($x, False)\nrule15: Yumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Bright($x, True)\nrule17: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Dumpus($x, True) → Fruity($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Orange($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Kind($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Cold($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Feisty($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nTumpus('Polly', True)\nRompus('Polly', True)\nYumpus('Polly', True)\nVumpus('Polly', True)\nFruity('Polly', False)\nOrange('Polly', False)\nKind('Polly', False)\nCold('Polly', True)\nFeisty('Polly', False)\nBright('Polly', True)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is kind.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nKind('Polly', True)\nAccording to the implied fact: Kind('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-80_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Wumpuses are not luminous. Each wumpus is a tumpus. Tumpuses are not transparent. Tumpuses are rompuses. Rompuses are not cold. Each rompus is an impus. Each impus is small. Impuses are vumpuses. Every vumpus is kind. Vumpuses are dumpuses. Every jompus is not kind.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Luminous($x, False)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Transparent($x, False)\nrule4: Tumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Cold($x, False)\nrule6: Rompus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Small($x, True)\nrule8: Impus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Kind($x, True)\nrule10: Vumpus($x, True) → Dumpus($x, True)\nrule11: Jompus($x, True) → Kind($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Transparent($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Cold($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nImpus('Max', True)\nVumpus('Max', True)\nTransparent('Max', False)\nCold('Max', False)\nSmall('Max', True)\nKind('Max', True)\nDumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', False)\nAccording to the implied fact: Vumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-470_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Each jompus is aggressive. Vumpuses are hot. Each jompus is a wumpus. Wumpuses are small. Wumpuses are rompuses. Each rompus is luminous. Rompuses are impuses. Every impus is earthy. Every impus is a tumpus. Tumpuses are not hot. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Aggressive($x, True)\nrule2: Vumpus($x, True) → Hot($x, True)\nrule3: Jompus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Small($x, True)\nrule5: Wumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Luminous($x, True)\nrule7: Rompus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Earthy($x, True)\nrule9: Impus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Hot($x, False)\nrule11: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Luminous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Hot($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nImpus('Wren', True)\nTumpus('Wren', True)\nSmall('Wren', True)\nLuminous('Wren', True)\nEarthy('Wren', True)\nHot('Wren', False)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Wren', False)\nAccording to the implied fact: Luminous('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-301_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Every wumpus is not floral. Wumpuses are rompuses. Rompuses are transparent. Rompuses are jompuses. Jompuses are sour. Every jompus is a numpus. Each numpus is not bright. Every numpus is a tumpus. Each tumpus is not wooden. Tumpuses are zumpuses. Zumpuses are not feisty. Zumpuses are yumpuses. Each impus is not transparent.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Floral($x, False)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Transparent($x, True)\nrule4: Rompus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Sour($x, True)\nrule6: Jompus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Bright($x, False)\nrule8: Numpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Wooden($x, False)\nrule10: Tumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Feisty($x, False)\nrule12: Zumpus($x, True) → Yumpus($x, True)\nrule13: Impus($x, True) → Transparent($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Sour($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Wooden($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Feisty($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nNumpus('Max', True)\nTumpus('Max', True)\nZumpus('Max', True)\nTransparent('Max', True)\nSour('Max', True)\nBright('Max', False)\nWooden('Max', False)\nFeisty('Max', False)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Max', False)\nAccording to the implied fact: Zumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-85_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Every vumpus is not hot. Vumpuses are rompuses. Rompuses are orange. Rompuses are numpuses. Every numpus is feisty. Dumpuses are not orange. Numpuses are zumpuses. Each zumpus is metallic. Each zumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Hot($x, False)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Orange($x, True)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Feisty($x, True)\nrule6: Dumpus($x, True) → Orange($x, False)\nrule7: Numpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Metallic($x, True)\nrule9: Zumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Orange($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Metallic($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nZumpus('Alex', True)\nOrange('Alex', True)\nFeisty('Alex', True)\nMetallic('Alex', True)\nTumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Alex', False)\nAccording to the implied fact: Orange('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-108_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Impuses are hot. Every impus is a rompus. Rompuses are luminous. Rompuses are numpuses. Every yumpus is not luminous. Each numpus is not spicy. Numpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Hot($x, True)\nrule2: Impus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Luminous($x, True)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Yumpus($x, True) → Luminous($x, False)\nrule6: Numpus($x, True) → Spicy($x, False)\nrule7: Numpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Numpus($x, True) → Spicy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nNumpus('Sam', True)\nHot('Sam', True)\nLuminous('Sam', True)\nSpicy('Sam', False)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sam', True)\nAccording to the implied fact: Vumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-275_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Yumpuses are large. Yumpuses are wumpuses. Every wumpus is transparent. Each wumpus is a zumpus. Zumpuses are wooden. Each zumpus is a vumpus. Every vumpus is dull. Every dumpus is not transparent. Vumpuses are tumpuses. Tumpuses are orange. Tumpuses are impuses. Each impus is not sour. Every impus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Large($x, True)\nrule2: Yumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Transparent($x, True)\nrule4: Wumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Wooden($x, True)\nrule6: Zumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Dull($x, True)\nrule8: Dumpus($x, True) → Transparent($x, False)\nrule9: Vumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Orange($x, True)\nrule11: Tumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Sour($x, False)\nrule13: Impus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Wooden($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Orange($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Orange('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Sour($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nZumpus('Sally', True)\nVumpus('Sally', True)\nTumpus('Sally', True)\nImpus('Sally', True)\nLarge('Sally', True)\nTransparent('Sally', True)\nWooden('Sally', True)\nDull('Sally', True)\nOrange('Sally', True)\nSour('Sally', False)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Sally', False)\nAccording to the implied fact: Transparent('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-414_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Each vumpus is not red. Each vumpus is a tumpus. Every tumpus is small. Every tumpus is an impus. Impuses are not sour. Impuses are dumpuses. Each dumpus is amenable. Dumpuses are rompuses. Rompuses are fruity. Every rompus is a wumpus. Each wumpus is not wooden. Every wumpus is a jompus. Each jompus is not bright. Jompuses are yumpuses. Yumpuses are opaque. Yumpuses are zumpuses. Numpuses are wooden.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Red($x, False)\nrule2: Vumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Small($x, True)\nrule4: Tumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Sour($x, False)\nrule6: Impus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Amenable($x, True)\nrule8: Dumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Fruity($x, True)\nrule10: Rompus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Wooden($x, False)\nrule12: Wumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Bright($x, False)\nrule14: Jompus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Opaque($x, True)\nrule16: Yumpus($x, True) → Zumpus($x, True)\nrule17: Numpus($x, True) → Wooden($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Bright($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nJompus('Sam', True)\nYumpus('Sam', True)\nFruity('Sam', True)\nWooden('Sam', False)\nBright('Sam', False)\nOpaque('Sam', True)\nZumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', False)\nAccording to the implied fact: Wumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-435_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Dumpuses are not blue. Every dumpus is an impus. Impuses are large. Every impus is a wumpus. Wumpuses are nervous. Every wumpus is a jompus. Jompuses are not metallic. Every jompus is a vumpus. Vumpuses are hot. Vumpuses are zumpuses. Zumpuses are not opaque. Each yumpus is metallic. Every zumpus is a numpus. Numpuses are aggressive. Every numpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Blue($x, False)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Large($x, True)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Nervous($x, True)\nrule6: Wumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Metallic($x, False)\nrule8: Jompus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Hot($x, True)\nrule10: Vumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Opaque($x, False)\nrule12: Yumpus($x, True) → Metallic($x, True)\nrule13: Zumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Aggressive($x, True)\nrule15: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Blue($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Metallic($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Hot($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Opaque($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nWumpus('Wren', True)\nJompus('Wren', True)\nVumpus('Wren', True)\nZumpus('Wren', True)\nNumpus('Wren', True)\nBlue('Wren', False)\nLarge('Wren', True)\nNervous('Wren', True)\nMetallic('Wren', False)\nHot('Wren', True)\nOpaque('Wren', False)\nAggressive('Wren', True)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', False)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-106_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a wumpus. Numpuses are not cold. Numpuses are wumpuses. Every wumpus is opaque. Each wumpus is a yumpus. Jompuses are not aggressive. Each yumpus is not shy. Every yumpus is a tumpus. Tumpuses are aggressive. Tumpuses are dumpuses. Dumpuses are liquid. Dumpuses are vumpuses. Vumpuses are large. Vumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Cold($x, False)\nrule2: Numpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Opaque($x, True)\nrule4: Wumpus($x, True) → Yumpus($x, True)\nrule5: Jompus($x, True) → Aggressive($x, False)\nrule6: Yumpus($x, True) → Shy($x, False)\nrule7: Yumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Aggressive($x, True)\nrule9: Tumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Liquid($x, True)\nrule11: Dumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Large($x, True)\nrule13: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Aggressive($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Aggressive('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Liquid($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nTumpus('Polly', True)\nDumpus('Polly', True)\nVumpus('Polly', True)\nOpaque('Polly', True)\nShy('Polly', False)\nAggressive('Polly', True)\nLiquid('Polly', True)\nLarge('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Polly', True)\nAccording to the implied fact: Dumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-361_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Rompuses are not amenable. Each rompus is a jompus. Jompuses are not bright. Jompuses are wumpuses. Every vumpus is not small. Wumpuses are orange. Wumpuses are numpuses. Numpuses are small. Numpuses are impuses. Impuses are shy. Impuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Amenable($x, False)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Bright($x, False)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Vumpus($x, True) → Small($x, False)\nrule6: Wumpus($x, True) → Orange($x, True)\nrule7: Wumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Small($x, True)\nrule9: Numpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Shy($x, True)\nrule11: Impus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Wumpus($x, True) → Orange($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nNumpus('Stella', True)\nImpus('Stella', True)\nBright('Stella', False)\nOrange('Stella', True)\nSmall('Stella', True)\nShy('Stella', True)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Stella', False)\nAccording to the implied fact: Orange('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-36_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a zumpus. Each zumpus is opaque. Each zumpus is a yumpus. Dumpuses are not red. Yumpuses are fruity. Every yumpus is a rompus. Every rompus is not wooden. Rompuses are numpuses. Numpuses are red. Numpuses are jompuses. Each jompus is not spicy. Every jompus is a vumpus. Every vumpus is hot. Vumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nZumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Opaque($x, True)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Dumpus($x, True) → Red($x, False)\nrule4: Yumpus($x, True) → Fruity($x, True)\nrule5: Yumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Wooden($x, False)\nrule7: Rompus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Red($x, True)\nrule9: Numpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Spicy($x, False)\nrule11: Jompus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Hot($x, True)\nrule13: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Yumpus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Wooden($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Red($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Spicy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Spicy('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Hot($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nRompus('Polly', True)\nNumpus('Polly', True)\nJompus('Polly', True)\nVumpus('Polly', True)\nOpaque('Polly', True)\nFruity('Polly', True)\nWooden('Polly', False)\nRed('Polly', True)\nSpicy('Polly', False)\nHot('Polly', True)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Polly', True)\nAccording to the implied fact: Numpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-412_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Each zumpus is luminous. Every zumpus is a yumpus. Every wumpus is not luminous.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Luminous($x, True)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Wumpus($x, True) → Luminous($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Luminous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nFinally, we obtain following implied facts:\nLuminous('Wren', True)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Wren', False)\nAccording to the implied fact: Yumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-499_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Every wumpus is not shy. Wumpuses are tumpuses. Every tumpus is amenable. Tumpuses are rompuses. Rompuses are sour. Each rompus is a dumpus. Every dumpus is not small. Every dumpus is a vumpus. Each vumpus is red. Vumpuses are yumpuses. Yumpuses are floral. Each yumpus is a numpus. Numpuses are bright. Each numpus is an impus. Impuses are luminous. Each impus is a jompus. Each zumpus is small.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSour($x, bool) ::: Is x sour?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Shy($x, False)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Amenable($x, True)\nrule4: Tumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Sour($x, True)\nrule6: Rompus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Small($x, False)\nrule8: Dumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Red($x, True)\nrule10: Vumpus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Floral($x, True)\nrule12: Yumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Bright($x, True)\nrule14: Numpus($x, True) → Impus($x, True)\nrule15: Impus($x, True) → Luminous($x, True)\nrule16: Impus($x, True) → Jompus($x, True)\nrule17: Zumpus($x, True) → Small($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Amenable($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Amenable('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Small($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Red($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Luminous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nDumpus('Fae', True)\nVumpus('Fae', True)\nYumpus('Fae', True)\nNumpus('Fae', True)\nImpus('Fae', True)\nAmenable('Fae', True)\nSour('Fae', True)\nSmall('Fae', False)\nRed('Fae', True)\nFloral('Fae', True)\nBright('Fae', True)\nLuminous('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Fae', False)\nAccording to the implied fact: Impus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-288_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Tumpuses are temperate. Every tumpus is a wumpus. Wumpuses are blue. Wumpuses are dumpuses. Each dumpus is not transparent. Dumpuses are vumpuses. Each vumpus is earthy. Vumpuses are jompuses. Jompuses are mean. Jompuses are yumpuses. Yumpuses are small. Yumpuses are rompuses. Rompuses are nervous. Every rompus is a numpus. Numpuses are not wooden. Numpuses are impuses. Zumpuses are not nervous.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMean($x, bool) ::: Is x mean?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Temperate($x, True)\nrule2: Tumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Blue($x, True)\nrule4: Wumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Transparent($x, False)\nrule6: Dumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Earthy($x, True)\nrule8: Vumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Mean($x, True)\nrule10: Jompus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Small($x, True)\nrule12: Yumpus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Nervous($x, True)\nrule14: Rompus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Wooden($x, False)\nrule16: Numpus($x, True) → Impus($x, True)\nrule17: Zumpus($x, True) → Nervous($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Transparent($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Mean($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Wooden($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nJompus('Wren', True)\nYumpus('Wren', True)\nRompus('Wren', True)\nNumpus('Wren', True)\nTransparent('Wren', False)\nEarthy('Wren', True)\nMean('Wren', True)\nSmall('Wren', True)\nNervous('Wren', True)\nWooden('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Wren', False)\nAccording to the implied fact: Mean('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-309_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Vumpuses are dull. Vumpuses are yumpuses. Every yumpus is fruity. Every yumpus is a rompus. Rompuses are blue. Every rompus is a tumpus. Tumpuses are aggressive. Each tumpus is a dumpus. Every dumpus is not luminous. Every dumpus is a zumpus. Every numpus is sweet. Every zumpus is not sweet. Each zumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Dull($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Fruity($x, True)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Blue($x, True)\nrule6: Rompus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Aggressive($x, True)\nrule8: Tumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Luminous($x, False)\nrule10: Dumpus($x, True) → Zumpus($x, True)\nrule11: Numpus($x, True) → Sweet($x, True)\nrule12: Zumpus($x, True) → Sweet($x, False)\nrule13: Zumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Luminous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Luminous('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Zumpus($x, True) → Sweet($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Sweet('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nTumpus('Rex', True)\nDumpus('Rex', True)\nZumpus('Rex', True)\nFruity('Rex', True)\nBlue('Rex', True)\nAggressive('Rex', True)\nLuminous('Rex', False)\nSweet('Rex', False)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not sweet.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSweet('Rex', False)\nAccording to the implied fact: Sweet('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-379_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Every jompus is metallic. Jompuses are vumpuses. Each vumpus is sweet. Rompuses are angry. Vumpuses are tumpuses. Every tumpus is not angry. Each tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Metallic($x, True)\nrule2: Jompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Sweet($x, True)\nrule4: Rompus($x, True) → Angry($x, True)\nrule5: Vumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Angry($x, False)\nrule7: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Angry($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Angry('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nSweet('Stella', True)\nAngry('Stella', False)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is angry.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAngry('Stella', True)\nAccording to the implied fact: Angry('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-7_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Tumpuses are hot. Tumpuses are numpuses. Numpuses are large. Every numpus is a wumpus. Wumpuses are red. Wumpuses are yumpuses. Yumpuses are not dull. Vumpuses are not large. Yumpuses are jompuses. Jompuses are spicy. Jompuses are rompuses. Every rompus is not transparent. Rompuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Hot($x, True)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Large($x, True)\nrule4: Numpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Red($x, True)\nrule6: Wumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Dull($x, False)\nrule8: Vumpus($x, True) → Large($x, False)\nrule9: Yumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Spicy($x, True)\nrule11: Jompus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Transparent($x, False)\nrule13: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Red($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Red('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Dull($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Transparent($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nWumpus('Max', True)\nYumpus('Max', True)\nJompus('Max', True)\nRompus('Max', True)\nHot('Max', True)\nLarge('Max', True)\nRed('Max', True)\nDull('Max', False)\nSpicy('Max', True)\nTransparent('Max', False)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Max', True)\nAccording to the implied fact: Large('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-96_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a rompus. Rompuses are transparent. Rompuses are wumpuses. Each wumpus is bitter. Wumpuses are vumpuses. Every vumpus is not bright. Vumpuses are jompuses. Each impus is bright.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nRompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Transparent($x, True)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Bitter($x, True)\nrule4: Wumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Bright($x, False)\nrule6: Vumpus($x, True) → Jompus($x, True)\nrule7: Impus($x, True) → Bright($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Bright($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nVumpus('Fae', True)\nTransparent('Fae', True)\nBitter('Fae', True)\nBright('Fae', False)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Fae', True)\nAccording to the implied fact: Vumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-157_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a wumpus. Numpuses are not red. Numpuses are tumpuses. Every tumpus is not liquid. Every tumpus is a wumpus. Wumpuses are bright. Every wumpus is a rompus. Every rompus is mean. Rompuses are dumpuses. Dumpuses are transparent. Dumpuses are zumpuses. Every vumpus is not transparent. Zumpuses are small. Each zumpus is an impus. Impuses are not feisty. Each impus is a yumpus. Every yumpus is bitter. Yumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Red($x, False)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Liquid($x, False)\nrule4: Tumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Bright($x, True)\nrule6: Wumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Mean($x, True)\nrule8: Rompus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Transparent($x, True)\nrule10: Dumpus($x, True) → Zumpus($x, True)\nrule11: Vumpus($x, True) → Transparent($x, False)\nrule12: Zumpus($x, True) → Small($x, True)\nrule13: Zumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Feisty($x, False)\nrule15: Impus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Bitter($x, True)\nrule17: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Mean($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Mean('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Zumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Feisty($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nDumpus('Sam', True)\nZumpus('Sam', True)\nImpus('Sam', True)\nYumpus('Sam', True)\nBright('Sam', True)\nMean('Sam', True)\nTransparent('Sam', True)\nSmall('Sam', True)\nFeisty('Sam', False)\nBitter('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', False)\nAccording to the implied fact: Rompus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-10_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Zumpuses are small. Zumpuses are jompuses. Jompuses are hot. Jompuses are impuses. Every vumpus is not hot.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Small($x, True)\nrule2: Zumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Hot($x, True)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Vumpus($x, True) → Hot($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nJompus('Stella', True)\nSmall('Stella', True)\nHot('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Stella', False)\nAccording to the implied fact: Small('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-312_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Every wumpus is not shy. Wumpuses are zumpuses. Each zumpus is metallic. Every vumpus is not metallic. Zumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Shy($x, False)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Metallic($x, True)\nrule4: Vumpus($x, True) → Metallic($x, False)\nrule5: Zumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Shy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Metallic($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nShy('Stella', False)\nMetallic('Stella', True)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', False)\nAccording to the implied fact: Zumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-164_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Tumpuses are transparent. Tumpuses are impuses. Impuses are cold. Impuses are jompuses. Yumpuses are wooden. Each jompus is not wooden. Jompuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Transparent($x, True)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Cold($x, True)\nrule4: Impus($x, True) → Jompus($x, True)\nrule5: Yumpus($x, True) → Wooden($x, True)\nrule6: Jompus($x, True) → Wooden($x, False)\nrule7: Jompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Jompus($x, True) → Wooden($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nCold('Wren', True)\nWooden('Wren', False)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', True)\nAccording to the known fact: Impus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-345_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a numpus. Each yumpus is temperate. Jompuses are small. Each jompus is a zumpus. Every zumpus is not transparent. Each zumpus is a tumpus. Tumpuses are not angry. Tumpuses are numpuses. Every numpus is not temperate. Numpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Temperate($x, True)\nrule2: Jompus($x, True) → Small($x, True)\nrule3: Jompus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Transparent($x, False)\nrule5: Zumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Angry($x, False)\nrule7: Tumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Temperate($x, False)\nrule9: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Numpus($x, True) → Temperate($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTemperate('Polly', False)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Polly', False)\nAccording to the implied fact: Temperate('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-459_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is an impus. Every dumpus is not opaque. Dumpuses are numpuses. Every numpus is wooden. Every numpus is a yumpus. Yumpuses are large. Yumpuses are rompuses. Each rompus is not spicy. Each rompus is an impus. Impuses are earthy. Every impus is a zumpus. Every zumpus is not shy. Every jompus is not red. Zumpuses are tumpuses. Tumpuses are red. Every tumpus is a vumpus. Every vumpus is not amenable. Vumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSpicy($x, bool) ::: Is x spicy?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nImpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, False)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Wooden($x, True)\nrule4: Numpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Large($x, True)\nrule6: Yumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Spicy($x, False)\nrule8: Rompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Earthy($x, True)\nrule10: Impus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Shy($x, False)\nrule12: Jompus($x, True) → Red($x, False)\nrule13: Zumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Red($x, True)\nrule15: Tumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Amenable($x, False)\nrule17: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Impus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Shy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Shy('Sam', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Amenable($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nTumpus('Sam', True)\nVumpus('Sam', True)\nEarthy('Sam', True)\nShy('Sam', False)\nRed('Sam', True)\nAmenable('Sam', False)\nWumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Sam', True)\nAccording to the implied fact: Earthy('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-117_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Zumpuses are not bright. Zumpuses are yumpuses. Each yumpus is kind. Yumpuses are vumpuses. Each vumpus is not liquid. Every vumpus is a jompus. Each jompus is not opaque. Each jompus is a tumpus. Each tumpus is sweet. Every tumpus is an impus. Impuses are brown. Every impus is a wumpus. Each wumpus is not large. Wumpuses are rompuses. Each rompus is hot. Rompuses are numpuses. Every dumpus is opaque.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Bright($x, False)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Kind($x, True)\nrule4: Yumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Liquid($x, False)\nrule6: Vumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Opaque($x, False)\nrule8: Jompus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Sweet($x, True)\nrule10: Tumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Brown($x, True)\nrule12: Impus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Large($x, False)\nrule14: Wumpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Hot($x, True)\nrule16: Rompus($x, True) → Numpus($x, True)\nrule17: Dumpus($x, True) → Opaque($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Liquid($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Sweet($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sweet('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Brown($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nJompus('Max', True)\nTumpus('Max', True)\nImpus('Max', True)\nWumpus('Max', True)\nRompus('Max', True)\nKind('Max', True)\nLiquid('Max', False)\nOpaque('Max', False)\nSweet('Max', True)\nBrown('Max', True)\nLarge('Max', False)\nHot('Max', True)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Max', False)\nAccording to the implied fact: Brown('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-286_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Every wumpus is not cold. Each wumpus is a rompus. Rompuses are not floral. Every rompus is a tumpus. Every tumpus is happy. Tumpuses are numpuses. Each numpus is not amenable. Numpuses are dumpuses. Dumpuses are not blue. Each dumpus is a jompus. Jompuses are wooden. Every jompus is a vumpus. Each vumpus is bright. Every vumpus is an impus. Zumpuses are not small. Impuses are small. Impuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Cold($x, False)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Floral($x, False)\nrule4: Rompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Happy($x, True)\nrule6: Tumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Amenable($x, False)\nrule8: Numpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Blue($x, False)\nrule10: Dumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Wooden($x, True)\nrule12: Jompus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Bright($x, True)\nrule14: Vumpus($x, True) → Impus($x, True)\nrule15: Zumpus($x, True) → Small($x, False)\nrule16: Impus($x, True) → Small($x, True)\nrule17: Impus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Dumpus($x, True) → Blue($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Wooden($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Impus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nVumpus('Sally', True)\nImpus('Sally', True)\nBlue('Sally', False)\nWooden('Sally', True)\nBright('Sally', True)\nSmall('Sally', True)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sally', True)\nAccording to the implied fact: Vumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-275_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Every tumpus is large. Every wumpus is blue. Each wumpus is a numpus. Every numpus is hot. Numpuses are dumpuses. Every dumpus is bright. Each dumpus is a rompus. Rompuses are mean. Rompuses are vumpuses. Vumpuses are not large. Vumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Large($x, True)\nrule2: Wumpus($x, True) → Blue($x, True)\nrule3: Wumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Hot($x, True)\nrule5: Numpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Bright($x, True)\nrule7: Dumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Mean($x, True)\nrule9: Rompus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Large($x, False)\nrule11: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Wumpus($x, True) → Blue($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Mean($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Mean('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Stella', True)\nDumpus('Stella', True)\nRompus('Stella', True)\nVumpus('Stella', True)\nBlue('Stella', True)\nHot('Stella', True)\nBright('Stella', True)\nMean('Stella', True)\nLarge('Stella', False)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Stella', False)\nAccording to the implied fact: Dumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-27_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Tumpuses are not kind. Each zumpus is hot. Zumpuses are jompuses. Jompuses are orange. Every jompus is an impus. Impuses are bitter. Impuses are numpuses. Every numpus is kind. Numpuses are wumpuses. Every wumpus is feisty. Every wumpus is a yumpus. Every yumpus is transparent. Yumpuses are vumpuses. Vumpuses are not fruity. Every vumpus is a rompus. Rompuses are bright. Each rompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nKind($x, bool) ::: Is x kind?\nHot($x, bool) ::: Is x hot?\nBitter($x, bool) ::: Is x bitter?\nFeisty($x, bool) ::: Is x feisty?\nBright($x, bool) ::: Is x bright?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Kind($x, False)\nrule2: Zumpus($x, True) → Hot($x, True)\nrule3: Zumpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Orange($x, True)\nrule5: Jompus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Bitter($x, True)\nrule7: Impus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Kind($x, True)\nrule9: Numpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Feisty($x, True)\nrule11: Wumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Transparent($x, True)\nrule13: Yumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Fruity($x, False)\nrule15: Vumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Bright($x, True)\nrule17: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Orange($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Fruity($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nImpus('Rex', True)\nNumpus('Rex', True)\nWumpus('Rex', True)\nYumpus('Rex', True)\nVumpus('Rex', True)\nRompus('Rex', True)\nHot('Rex', True)\nOrange('Rex', True)\nBitter('Rex', True)\nKind('Rex', True)\nFeisty('Rex', True)\nTransparent('Rex', True)\nFruity('Rex', False)\nBright('Rex', True)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is a Zumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', True)\nAccording to the known fact: Zumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-145_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Rompuses are opaque. Every rompus is a yumpus. Every yumpus is nervous. Yumpuses are vumpuses. Vumpuses are not earthy. Vumpuses are jompuses. Every jompus is not kind. Every jompus is a numpus. Numpuses are not temperate. Each numpus is a zumpus. Zumpuses are not sour. Every tumpus is brown. Zumpuses are dumpuses. Dumpuses are small. Each dumpus is an impus. Each impus is not brown. Each impus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nOpaque($x, bool) ::: Is x opaque?\nNervous($x, bool) ::: Is x nervous?\nEarthy($x, bool) ::: Is x earthy?\nKind($x, bool) ::: Is x kind?\nTemperate($x, bool) ::: Is x temperate?\nSour($x, bool) ::: Is x sour?\nBrown($x, bool) ::: Is x brown?\nSmall($x, bool) ::: Is x small?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Opaque($x, True)\nrule2: Rompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Nervous($x, True)\nrule4: Yumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Earthy($x, False)\nrule6: Vumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Kind($x, False)\nrule8: Jompus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Temperate($x, False)\nrule10: Numpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Sour($x, False)\nrule12: Tumpus($x, True) → Brown($x, True)\nrule13: Zumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Small($x, True)\nrule15: Dumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Brown($x, False)\nrule17: Impus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule16: Impus($x, True) → Brown($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nBrown('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is impulsive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', True)\nAccording to the known fact: Impus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-197_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a rompus. Every tumpus is not fruity. Tumpuses are impuses. Each impus is transparent. Every impus is a dumpus. Each dumpus is not angry. Every dumpus is a rompus. Rompuses are cold. Every rompus is a wumpus. Each wumpus is wooden. Each wumpus is a zumpus. Each zumpus is small. Every zumpus is a jompus. Each jompus is shy. Each numpus is spicy. Jompuses are yumpuses. Every yumpus is not spicy. Yumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nRompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Fruity($x, False)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Transparent($x, True)\nrule4: Impus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Angry($x, False)\nrule6: Dumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Cold($x, True)\nrule8: Rompus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Wooden($x, True)\nrule10: Wumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Small($x, True)\nrule12: Zumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Shy($x, True)\nrule14: Numpus($x, True) → Spicy($x, True)\nrule15: Jompus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Spicy($x, False)\nrule17: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Rompus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Shy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Spicy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nZumpus('Sally', True)\nJompus('Sally', True)\nYumpus('Sally', True)\nCold('Sally', True)\nWooden('Sally', True)\nSmall('Sally', True)\nShy('Sally', True)\nSpicy('Sally', False)\nVumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Sally', True)\nAccording to the implied fact: Wooden('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-360_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Every vumpus is not transparent. Vumpuses are jompuses. Every jompus is aggressive. Each jompus is a yumpus. Each yumpus is bright. Yumpuses are dumpuses. Dumpuses are bitter. Every dumpus is a zumpus. Zumpuses are not happy. Each zumpus is a tumpus. Tumpuses are temperate. Impuses are happy. Each tumpus is a numpus. Numpuses are small. Every numpus is a wumpus. Every wumpus is earthy. Wumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Transparent($x, False)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Aggressive($x, True)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Bright($x, True)\nrule6: Yumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Bitter($x, True)\nrule8: Dumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Happy($x, False)\nrule10: Zumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Temperate($x, True)\nrule12: Impus($x, True) → Happy($x, True)\nrule13: Tumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Small($x, True)\nrule15: Numpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Earthy($x, True)\nrule17: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Aggressive($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Aggressive('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Bitter($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Happy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nDumpus('Polly', True)\nZumpus('Polly', True)\nTumpus('Polly', True)\nNumpus('Polly', True)\nWumpus('Polly', True)\nAggressive('Polly', True)\nBright('Polly', True)\nBitter('Polly', True)\nHappy('Polly', False)\nTemperate('Polly', True)\nSmall('Polly', True)\nEarthy('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Polly', True)\nAccording to the implied fact: Dumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-389_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a numpus. Each jompus is wooden. Each jompus is an impus. Each impus is nervous. Impuses are numpuses. Numpuses are small. Numpuses are yumpuses. Yumpuses are amenable. Yumpuses are tumpuses. Tumpuses are sweet. Every vumpus is not amenable. Tumpuses are dumpuses. Every dumpus is earthy. Every dumpus is a rompus. Rompuses are not brown. Each rompus is a wumpus. Wumpuses are cold. Wumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nNumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Wooden($x, True)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Nervous($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Small($x, True)\nrule6: Numpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Amenable($x, True)\nrule8: Yumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Sweet($x, True)\nrule10: Vumpus($x, True) → Amenable($x, False)\nrule11: Tumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Earthy($x, True)\nrule13: Dumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Brown($x, False)\nrule15: Rompus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Cold($x, True)\nrule17: Wumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Amenable($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Brown($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nTumpus('Wren', True)\nDumpus('Wren', True)\nRompus('Wren', True)\nWumpus('Wren', True)\nSmall('Wren', True)\nAmenable('Wren', True)\nSweet('Wren', True)\nEarthy('Wren', True)\nBrown('Wren', False)\nCold('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Wren', True)\nAccording to the implied fact: Earthy('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-436_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Numpuses are shy. Vumpuses are dull. Vumpuses are zumpuses. Each zumpus is not opaque. Every zumpus is a rompus. Each rompus is not shy. Each rompus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Shy($x, True)\nrule2: Vumpus($x, True) → Dull($x, True)\nrule3: Vumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Opaque($x, False)\nrule5: Zumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Shy($x, False)\nrule7: Rompus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Opaque($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Shy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nRompus('Polly', True)\nDull('Polly', True)\nOpaque('Polly', False)\nShy('Polly', False)\nYumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Polly', False)\nAccording to the known fact: Vumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-466_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Numpuses are earthy. Numpuses are impuses. Impuses are cold. Every impus is a wumpus. Wumpuses are bright. Each wumpus is a dumpus. Dumpuses are blue. Dumpuses are rompuses. Rompuses are not bitter. Rompuses are yumpuses. Every yumpus is luminous. Each tumpus is angry. Each yumpus is a vumpus. Vumpuses are not nervous. Every vumpus is a jompus. Every jompus is not angry. Every jompus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nEarthy($x, bool) ::: Is x earthy?\nBright($x, bool) ::: Is x bright?\nBlue($x, bool) ::: Is x blue?\nBitter($x, bool) ::: Is x bitter?\nLuminous($x, bool) ::: Is x luminous?\nAngry($x, bool) ::: Is x angry?\nNervous($x, bool) ::: Is x nervous?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Earthy($x, True)\nrule2: Numpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Cold($x, True)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Bright($x, True)\nrule6: Wumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Blue($x, True)\nrule8: Dumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Bitter($x, False)\nrule10: Rompus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Luminous($x, True)\nrule12: Tumpus($x, True) → Angry($x, True)\nrule13: Yumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Nervous($x, False)\nrule15: Vumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Angry($x, False)\nrule17: Jompus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Dumpus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Bitter($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Luminous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Nervous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Angry($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Angry('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nYumpus('Sally', True)\nVumpus('Sally', True)\nJompus('Sally', True)\nBlue('Sally', True)\nBitter('Sally', False)\nLuminous('Sally', True)\nNervous('Sally', False)\nAngry('Sally', False)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is vumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sally', True)\nAccording to the implied fact: Vumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-471_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Yumpuses are not large. Every yumpus is a zumpus. Zumpuses are not bright. Every zumpus is a numpus. Every numpus is earthy. Numpuses are wumpuses. Every dumpus is hot. Every wumpus is not hot. Each wumpus is an impus. Impuses are blue. Each impus is a rompus. Every rompus is liquid. Each rompus is a vumpus. Vumpuses are aggressive. Each vumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLarge($x, bool) ::: Is x large?\nBright($x, bool) ::: Is x bright?\nEarthy($x, bool) ::: Is x earthy?\nHot($x, bool) ::: Is x hot?\nBlue($x, bool) ::: Is x blue?\nAggressive($x, bool) ::: Is x aggressive?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Large($x, False)\nrule2: Yumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Bright($x, False)\nrule4: Zumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Earthy($x, True)\nrule6: Numpus($x, True) → Wumpus($x, True)\nrule7: Dumpus($x, True) → Hot($x, True)\nrule8: Wumpus($x, True) → Hot($x, False)\nrule9: Wumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Blue($x, True)\nrule11: Impus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Liquid($x, True)\nrule13: Rompus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Aggressive($x, True)\nrule15: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Liquid($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Aggressive($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nRompus('Max', True)\nVumpus('Max', True)\nHot('Max', False)\nBlue('Max', True)\nLiquid('Max', True)\nAggressive('Max', True)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not tumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Max', False)\nAccording to the implied fact: Tumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-320_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Each numpus is sweet. Numpuses are zumpuses. Each zumpus is not opaque. Zumpuses are tumpuses. Each tumpus is hot. Each tumpus is an impus. Each impus is not dull. Every impus is a yumpus. Every yumpus is not feisty. Yumpuses are jompuses. Each jompus is angry. Jompuses are dumpuses. Dumpuses are liquid. Every dumpus is a rompus. Each rompus is large. Every rompus is a vumpus. Every wumpus is dull.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Sweet($x, True)\nrule2: Numpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Opaque($x, False)\nrule4: Zumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Hot($x, True)\nrule6: Tumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Dull($x, False)\nrule8: Impus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Feisty($x, False)\nrule10: Yumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Angry($x, True)\nrule12: Jompus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Liquid($x, True)\nrule14: Dumpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Large($x, True)\nrule16: Rompus($x, True) → Vumpus($x, True)\nrule17: Wumpus($x, True) → Dull($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Dull($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Feisty($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Feisty('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Angry($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Liquid($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nTumpus('Max', True)\nImpus('Max', True)\nYumpus('Max', True)\nJompus('Max', True)\nDumpus('Max', True)\nRompus('Max', True)\nOpaque('Max', False)\nHot('Max', True)\nDull('Max', False)\nFeisty('Max', False)\nAngry('Max', True)\nLiquid('Max', True)\nLarge('Max', True)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Max', True)\nAccording to the implied fact: Tumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-355_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Each tumpus is bright. Every jompus is fruity. Tumpuses are dumpuses. Every dumpus is not fruity. Dumpuses are yumpuses. Yumpuses are not orange. Every yumpus is a numpus. Numpuses are large. Numpuses are zumpuses. Each zumpus is feisty. Each zumpus is an impus. Impuses are mean. Impuses are rompuses. Every rompus is transparent. Rompuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bright($x, True)\nrule2: Jompus($x, True) → Fruity($x, True)\nrule3: Tumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Fruity($x, False)\nrule5: Dumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Orange($x, False)\nrule7: Yumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Large($x, True)\nrule9: Numpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Feisty($x, True)\nrule11: Zumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Mean($x, True)\nrule13: Impus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Transparent($x, True)\nrule15: Rompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Dumpus($x, True) → Fruity($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Orange($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Orange('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Feisty($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Mean($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nNumpus('Wren', True)\nZumpus('Wren', True)\nImpus('Wren', True)\nRompus('Wren', True)\nFruity('Wren', False)\nOrange('Wren', False)\nLarge('Wren', True)\nFeisty('Wren', True)\nMean('Wren', True)\nTransparent('Wren', True)\nWumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Wren', True)\nAccording to the implied fact: Zumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-242_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Each rompus is not feisty. Every numpus is wooden. Numpuses are impuses. Each impus is not red. Every impus is a vumpus. Every vumpus is feisty. Vumpuses are dumpuses. Each dumpus is not large. Dumpuses are wumpuses. Wumpuses are sour. Wumpuses are jompuses. Every jompus is opaque. Every jompus is a zumpus. Every zumpus is temperate. Zumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Feisty($x, False)\nrule2: Numpus($x, True) → Wooden($x, True)\nrule3: Numpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Red($x, False)\nrule5: Impus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Feisty($x, True)\nrule7: Vumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Large($x, False)\nrule9: Dumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Sour($x, True)\nrule11: Wumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Opaque($x, True)\nrule13: Jompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Temperate($x, True)\nrule15: Zumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Impus($x, True) → Red($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Large($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Sour($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nVumpus('Wren', True)\nDumpus('Wren', True)\nWumpus('Wren', True)\nJompus('Wren', True)\nZumpus('Wren', True)\nRed('Wren', False)\nFeisty('Wren', True)\nLarge('Wren', False)\nSour('Wren', True)\nOpaque('Wren', True)\nTemperate('Wren', True)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Wren', True)\nAccording to the implied fact: Red('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-50_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Zumpuses are dull. Each zumpus is a wumpus. Wumpuses are large. Wumpuses are yumpuses. Yumpuses are liquid. Yumpuses are jompuses. Every jompus is kind. Every jompus is an impus. Every impus is sweet. Impuses are numpuses. Numpuses are transparent. Numpuses are tumpuses. Tumpuses are not fruity. Tumpuses are rompuses. Rompuses are not red. Each rompus is a dumpus. Vumpuses are not sweet.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Dull($x, True)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Large($x, True)\nrule4: Wumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Liquid($x, True)\nrule6: Yumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Kind($x, True)\nrule8: Jompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Sweet($x, True)\nrule10: Impus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Transparent($x, True)\nrule12: Numpus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Fruity($x, False)\nrule14: Tumpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Red($x, False)\nrule16: Rompus($x, True) → Dumpus($x, True)\nrule17: Vumpus($x, True) → Sweet($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Kind($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Red($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nYumpus('Fae', True)\nJompus('Fae', True)\nImpus('Fae', True)\nNumpus('Fae', True)\nTumpus('Fae', True)\nRompus('Fae', True)\nDull('Fae', True)\nLarge('Fae', True)\nLiquid('Fae', True)\nKind('Fae', True)\nSweet('Fae', True)\nTransparent('Fae', True)\nFruity('Fae', False)\nRed('Fae', False)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Fae', False)\nAccording to the implied fact: Red('Fae', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-498_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Impuses are brown. Every tumpus is earthy. Each tumpus is a numpus. Every numpus is not brown. Numpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBrown($x, bool) ::: Is x brown?\nEarthy($x, bool) ::: Is x earthy?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Brown($x, True)\nrule2: Tumpus($x, True) → Earthy($x, True)\nrule3: Tumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Brown($x, False)\nrule5: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Numpus($x, True) → Brown($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nBrown('Alex', False)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Alex', False)\nAccording to the implied fact: Brown('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-416_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Each zumpus is liquid. Zumpuses are yumpuses. Every yumpus is cold. Each yumpus is a vumpus. Every vumpus is not bright. Vumpuses are dumpuses. Dumpuses are not blue. Dumpuses are jompuses. Each jompus is small. Jompuses are tumpuses. Tumpuses are fruity. Tumpuses are numpuses. Every numpus is sour. Wumpuses are blue. Every numpus is a rompus. Every rompus is opaque. Every rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Liquid($x, True)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Cold($x, True)\nrule4: Yumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Bright($x, False)\nrule6: Vumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Blue($x, False)\nrule8: Dumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Small($x, True)\nrule10: Jompus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Fruity($x, True)\nrule12: Tumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Sour($x, True)\nrule14: Wumpus($x, True) → Blue($x, True)\nrule15: Numpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Opaque($x, True)\nrule17: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Blue($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nVumpus('Sally', True)\nDumpus('Sally', True)\nJompus('Sally', True)\nTumpus('Sally', True)\nNumpus('Sally', True)\nRompus('Sally', True)\nLiquid('Sally', True)\nCold('Sally', True)\nBright('Sally', False)\nBlue('Sally', False)\nSmall('Sally', True)\nFruity('Sally', True)\nSour('Sally', True)\nOpaque('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Sally', True)\nAccording to the implied fact: Small('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-473_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Zumpuses are hot. Each zumpus is a vumpus. Vumpuses are orange. Vumpuses are yumpuses. Jompuses are not earthy. Each yumpus is earthy. Yumpuses are impuses. Impuses are not metallic. Every impus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nHot($x, bool) ::: Is x hot?\nEarthy($x, bool) ::: Is x earthy?\nMetallic($x, bool) ::: Is x metallic?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Hot($x, True)\nrule2: Zumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Orange($x, True)\nrule4: Vumpus($x, True) → Yumpus($x, True)\nrule5: Jompus($x, True) → Earthy($x, False)\nrule6: Yumpus($x, True) → Earthy($x, True)\nrule7: Yumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Metallic($x, False)\nrule9: Impus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Metallic($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nImpus('Polly', True)\nOrange('Polly', True)\nEarthy('Polly', True)\nMetallic('Polly', False)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Polly', False)\nAccording to the implied fact: Earthy('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-327_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Impuses are transparent. Impuses are numpuses. Every numpus is brown. Every numpus is a vumpus. Vumpuses are floral. Every vumpus is a dumpus. Jompuses are large. Every dumpus is nervous. Dumpuses are wumpuses. Wumpuses are not large. Wumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBrown($x, bool) ::: Is x brown?\nFloral($x, bool) ::: Is x floral?\nLarge($x, bool) ::: Is x large?\nNervous($x, bool) ::: Is x nervous?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Transparent($x, True)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Brown($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Floral($x, True)\nrule6: Vumpus($x, True) → Dumpus($x, True)\nrule7: Jompus($x, True) → Large($x, True)\nrule8: Dumpus($x, True) → Nervous($x, True)\nrule9: Dumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Large($x, False)\nrule11: Wumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Alex', True)\nDumpus('Alex', True)\nWumpus('Alex', True)\nBrown('Alex', True)\nFloral('Alex', True)\nNervous('Alex', True)\nLarge('Alex', False)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Alex', False)\nAccording to the known fact: Numpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-243_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Impuses are dull. Impuses are tumpuses. Tumpuses are not metallic. Each tumpus is a dumpus. Dumpuses are hot. Dumpuses are wumpuses. Wumpuses are red. Every jompus is large. Every wumpus is a yumpus. Yumpuses are not large. Yumpuses are numpuses. Every numpus is earthy. Every numpus is a zumpus. Zumpuses are nervous. Every zumpus is a rompus. Every rompus is not opaque. Every rompus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Dull($x, True)\nrule2: Impus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Metallic($x, False)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Hot($x, True)\nrule6: Dumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Red($x, True)\nrule8: Jompus($x, True) → Large($x, True)\nrule9: Wumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Large($x, False)\nrule11: Yumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Earthy($x, True)\nrule13: Numpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Nervous($x, True)\nrule15: Zumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Opaque($x, False)\nrule17: Rompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Yumpus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Nervous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nZumpus('Max', True)\nRompus('Max', True)\nLarge('Max', False)\nEarthy('Max', True)\nNervous('Max', True)\nOpaque('Max', False)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Max', False)\nAccording to the implied fact: Earthy('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-233_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Tumpuses are luminous. Each tumpus is a dumpus. Every dumpus is large. Each dumpus is an impus. Each impus is bright. Impuses are rompuses. Each rompus is transparent. Every rompus is a jompus. Jompuses are not aggressive. Jompuses are zumpuses. Zumpuses are orange. Every zumpus is a vumpus. Vumpuses are floral. Each vumpus is a wumpus. Every yumpus is aggressive. Wumpuses are not feisty. Every wumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLuminous($x, bool) ::: Is x luminous?\nLarge($x, bool) ::: Is x large?\nBright($x, bool) ::: Is x bright?\nAggressive($x, bool) ::: Is x aggressive?\nFloral($x, bool) ::: Is x floral?\nFeisty($x, bool) ::: Is x feisty?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Luminous($x, True)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Large($x, True)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Bright($x, True)\nrule6: Impus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Transparent($x, True)\nrule8: Rompus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Aggressive($x, False)\nrule10: Jompus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Orange($x, True)\nrule12: Zumpus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Floral($x, True)\nrule14: Vumpus($x, True) → Wumpus($x, True)\nrule15: Yumpus($x, True) → Aggressive($x, True)\nrule16: Wumpus($x, True) → Feisty($x, False)\nrule17: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Aggressive($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Aggressive('Sam', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Orange($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Wumpus($x, True) → Feisty($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nZumpus('Sam', True)\nVumpus('Sam', True)\nWumpus('Sam', True)\nTransparent('Sam', True)\nAggressive('Sam', False)\nOrange('Sam', True)\nFloral('Sam', True)\nFeisty('Sam', False)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not numpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sam', False)\nAccording to the implied fact: Numpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-411_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Rompuses are floral. Rompuses are impuses. Impuses are brown. Each impus is a tumpus. Each tumpus is not sweet. Tumpuses are wumpuses. Wumpuses are small. Dumpuses are not temperate. Wumpuses are yumpuses. Each yumpus is metallic. Yumpuses are zumpuses. Zumpuses are temperate. Zumpuses are vumpuses. Every vumpus is not dull. Every vumpus is a jompus. Jompuses are not transparent. Every jompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nFloral($x, bool) ::: Is x floral?\nBrown($x, bool) ::: Is x brown?\nSweet($x, bool) ::: Is x sweet?\nSmall($x, bool) ::: Is x small?\nTemperate($x, bool) ::: Is x temperate?\nMetallic($x, bool) ::: Is x metallic?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Floral($x, True)\nrule2: Rompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Brown($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Sweet($x, False)\nrule6: Tumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Small($x, True)\nrule8: Dumpus($x, True) → Temperate($x, False)\nrule9: Wumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Metallic($x, True)\nrule11: Yumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Temperate($x, True)\nrule13: Zumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Dull($x, False)\nrule15: Vumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Transparent($x, False)\nrule17: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Sweet($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Sweet('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nYumpus('Polly', True)\nZumpus('Polly', True)\nVumpus('Polly', True)\nJompus('Polly', True)\nSweet('Polly', False)\nSmall('Polly', True)\nMetallic('Polly', True)\nTemperate('Polly', True)\nDull('Polly', False)\nTransparent('Polly', False)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Polly', False)\nAccording to the implied fact: Dull('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-433_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Dumpuses are temperate. Each dumpus is a wumpus. Each wumpus is fruity. Each wumpus is a rompus. Rompuses are dull. Each rompus is a vumpus. Every vumpus is wooden. Vumpuses are zumpuses. Zumpuses are opaque. Every zumpus is a tumpus. Every tumpus is not happy. Tumpuses are yumpuses. Yumpuses are bitter. Every yumpus is a numpus. Numpuses are mean. Every impus is not opaque. Numpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Temperate($x, True)\nrule2: Dumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Fruity($x, True)\nrule4: Wumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Dull($x, True)\nrule6: Rompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Wooden($x, True)\nrule8: Vumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Opaque($x, True)\nrule10: Zumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Happy($x, False)\nrule12: Tumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Bitter($x, True)\nrule14: Yumpus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Mean($x, True)\nrule16: Impus($x, True) → Opaque($x, False)\nrule17: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Happy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Bitter($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bitter('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Mean($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Mean('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Max', True)\nRompus('Max', True)\nVumpus('Max', True)\nZumpus('Max', True)\nTumpus('Max', True)\nYumpus('Max', True)\nNumpus('Max', True)\nTemperate('Max', True)\nFruity('Max', True)\nDull('Max', True)\nWooden('Max', True)\nOpaque('Max', True)\nHappy('Max', False)\nBitter('Max', True)\nMean('Max', True)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Max', True)\nAccording to the implied fact: Jompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-99_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Rompuses are not brown. Each rompus is a zumpus. Each zumpus is floral. Each zumpus is a numpus. Each numpus is not opaque. Every numpus is a yumpus. Yumpuses are temperate. Yumpuses are vumpuses. Vumpuses are kind. Every vumpus is a dumpus. Dumpuses are small. Wumpuses are not wooden. Each dumpus is a tumpus. Tumpuses are wooden. Tumpuses are jompuses. Each jompus is dull. Every jompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nOpaque($x, bool) ::: Is x opaque?\nTemperate($x, bool) ::: Is x temperate?\nKind($x, bool) ::: Is x kind?\nSmall($x, bool) ::: Is x small?\nWooden($x, bool) ::: Is x wooden?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Brown($x, False)\nrule2: Rompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Floral($x, True)\nrule4: Zumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Opaque($x, False)\nrule6: Numpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Temperate($x, True)\nrule8: Yumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Kind($x, True)\nrule10: Vumpus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Small($x, True)\nrule12: Wumpus($x, True) → Wooden($x, False)\nrule13: Dumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Wooden($x, True)\nrule15: Tumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Dull($x, True)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Opaque($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Kind($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Wooden($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nVumpus('Alex', True)\nDumpus('Alex', True)\nTumpus('Alex', True)\nJompus('Alex', True)\nOpaque('Alex', False)\nTemperate('Alex', True)\nKind('Alex', True)\nSmall('Alex', True)\nWooden('Alex', True)\nDull('Alex', True)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', True)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-50_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Each tumpus is bright. Every tumpus is a wumpus. Wumpuses are metallic. Wumpuses are jompuses. Every yumpus is not transparent. Jompuses are hot. Each jompus is a rompus. Every rompus is happy. Rompuses are numpuses. Each numpus is transparent. Every numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bright($x, True)\nrule2: Tumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Metallic($x, True)\nrule4: Wumpus($x, True) → Jompus($x, True)\nrule5: Yumpus($x, True) → Transparent($x, False)\nrule6: Jompus($x, True) → Hot($x, True)\nrule7: Jompus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Happy($x, True)\nrule9: Rompus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Transparent($x, True)\nrule11: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Metallic($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Jompus($x, True) → Hot($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Happy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nJompus('Polly', True)\nRompus('Polly', True)\nNumpus('Polly', True)\nBright('Polly', True)\nMetallic('Polly', True)\nHot('Polly', True)\nHappy('Polly', True)\nTransparent('Polly', True)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Polly', False)\nAccording to the implied fact: Wumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-449_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a numpus. Numpuses are not earthy. Every numpus is a wumpus. Every wumpus is opaque. Wumpuses are vumpuses. Every vumpus is blue. Every vumpus is a tumpus. Every dumpus is not blue. Tumpuses are wooden. Each tumpus is a zumpus. Zumpuses are small. Zumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Earthy($x, False)\nrule2: Numpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Opaque($x, True)\nrule4: Wumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Blue($x, True)\nrule6: Vumpus($x, True) → Tumpus($x, True)\nrule7: Dumpus($x, True) → Blue($x, False)\nrule8: Tumpus($x, True) → Wooden($x, True)\nrule9: Tumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Small($x, True)\nrule11: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Earthy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Tumpus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nVumpus('Sam', True)\nTumpus('Sam', True)\nZumpus('Sam', True)\nEarthy('Sam', False)\nOpaque('Sam', True)\nBlue('Sam', True)\nWooden('Sam', True)\nSmall('Sam', True)\nYumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sam', True)\nAccording to the known fact: Numpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-357_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a dumpus. Each jompus is bright. Jompuses are rompuses. Rompuses are not small. Each rompus is a dumpus. Dumpuses are sweet. Dumpuses are tumpuses. Every tumpus is opaque. Every tumpus is a numpus. Numpuses are mean. Every numpus is a vumpus. Every vumpus is not fruity. Every vumpus is a yumpus. Every yumpus is cold. Each yumpus is an impus. Each zumpus is not mean. Every impus is blue. Impuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nDumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bright($x, True)\nrule2: Jompus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Small($x, False)\nrule4: Rompus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Sweet($x, True)\nrule6: Dumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Opaque($x, True)\nrule8: Tumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Mean($x, True)\nrule10: Numpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Fruity($x, False)\nrule12: Vumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Cold($x, True)\nrule14: Yumpus($x, True) → Impus($x, True)\nrule15: Zumpus($x, True) → Mean($x, False)\nrule16: Impus($x, True) → Blue($x, True)\nrule17: Impus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Sweet($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sweet('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Mean($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Mean('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Fruity($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Impus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nNumpus('Sally', True)\nVumpus('Sally', True)\nYumpus('Sally', True)\nImpus('Sally', True)\nSweet('Sally', True)\nOpaque('Sally', True)\nMean('Sally', True)\nFruity('Sally', False)\nCold('Sally', True)\nBlue('Sally', True)\nWumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Sally', False)\nAccording to the implied fact: Fruity('Sally', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-100_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Rompuses are not hot. Every rompus is a numpus. Numpuses are not opaque. Every numpus is an impus. Impuses are not wooden. Each impus is a zumpus. Every zumpus is floral. Zumpuses are vumpuses. Vumpuses are dull. Every vumpus is a wumpus. Every wumpus is brown. Wumpuses are tumpuses. Every tumpus is small. Tumpuses are jompuses. Jompuses are not bitter. Jompuses are yumpuses. Every dumpus is not small.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nHot($x, bool) ::: Is x hot?\nOpaque($x, bool) ::: Is x opaque?\nWooden($x, bool) ::: Is x wooden?\nFloral($x, bool) ::: Is x floral?\nBrown($x, bool) ::: Is x brown?\nSmall($x, bool) ::: Is x small?\nBitter($x, bool) ::: Is x bitter?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Hot($x, False)\nrule2: Rompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Opaque($x, False)\nrule4: Numpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Wooden($x, False)\nrule6: Impus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Floral($x, True)\nrule8: Zumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Dull($x, True)\nrule10: Vumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Brown($x, True)\nrule12: Wumpus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Small($x, True)\nrule14: Tumpus($x, True) → Jompus($x, True)\nrule15: Jompus($x, True) → Bitter($x, False)\nrule16: Jompus($x, True) → Yumpus($x, True)\nrule17: Dumpus($x, True) → Small($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bitter('Stella', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nTumpus('Stella', True)\nJompus('Stella', True)\nDull('Stella', True)\nBrown('Stella', True)\nSmall('Stella', True)\nBitter('Stella', False)\nYumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Stella', True)\nAccording to the implied fact: Small('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-231_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Each tumpus is floral. Every tumpus is a jompus. Jompuses are not mean. Jompuses are wumpuses. Wumpuses are transparent. Every wumpus is a vumpus. Every vumpus is nervous. Vumpuses are impuses. Impuses are not temperate. Numpuses are not bright. Impuses are dumpuses. Each dumpus is luminous. Dumpuses are zumpuses. Every zumpus is bright. Every zumpus is a yumpus. Each yumpus is bitter. Yumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMean($x, bool) ::: Is x mean?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Floral($x, True)\nrule2: Tumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Mean($x, False)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Transparent($x, True)\nrule6: Wumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Nervous($x, True)\nrule8: Vumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Temperate($x, False)\nrule10: Numpus($x, True) → Bright($x, False)\nrule11: Impus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Luminous($x, True)\nrule13: Dumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Bright($x, True)\nrule15: Zumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Bitter($x, True)\nrule17: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Vumpus($x, True) → Nervous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Temperate($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Luminous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nDumpus('Sally', True)\nZumpus('Sally', True)\nYumpus('Sally', True)\nNervous('Sally', True)\nTemperate('Sally', False)\nLuminous('Sally', True)\nBright('Sally', True)\nBitter('Sally', True)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Sally', False)\nAccording to the implied fact: Bitter('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-185_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Dumpuses are kind. Every dumpus is a vumpus. Every vumpus is not bright. Vumpuses are jompuses. Each jompus is red. Jompuses are zumpuses. Zumpuses are nervous. Every zumpus is a wumpus. Wumpuses are not earthy. Every wumpus is a rompus. Each rompus is opaque. Rompuses are numpuses. Numpuses are not cold. Numpuses are impuses. Every impus is large. Impuses are tumpuses. Every yumpus is not opaque.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nKind($x, bool) ::: Is x kind?\nBright($x, bool) ::: Is x bright?\nRed($x, bool) ::: Is x red?\nNervous($x, bool) ::: Is x nervous?\nEarthy($x, bool) ::: Is x earthy?\nOpaque($x, bool) ::: Is x opaque?\nLarge($x, bool) ::: Is x large?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Kind($x, True)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Bright($x, False)\nrule4: Vumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Red($x, True)\nrule6: Jompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Nervous($x, True)\nrule8: Zumpus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Earthy($x, False)\nrule10: Wumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Opaque($x, True)\nrule12: Rompus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Cold($x, False)\nrule14: Numpus($x, True) → Impus($x, True)\nrule15: Impus($x, True) → Large($x, True)\nrule16: Impus($x, True) → Tumpus($x, True)\nrule17: Yumpus($x, True) → Opaque($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Earthy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Cold($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nWumpus('Sam', True)\nRompus('Sam', True)\nNumpus('Sam', True)\nImpus('Sam', True)\nRed('Sam', True)\nNervous('Sam', True)\nEarthy('Sam', False)\nOpaque('Sam', True)\nCold('Sam', False)\nLarge('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not rompus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', False)\nAccording to the implied fact: Rompus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-68_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Every yumpus is not floral. Every yumpus is a numpus. Zumpuses are not amenable. Numpuses are bright. Numpuses are jompuses. Jompuses are opaque. Each jompus is a dumpus. Every dumpus is temperate. Every dumpus is a wumpus. Each wumpus is sour. Wumpuses are vumpuses. Each vumpus is blue. Vumpuses are tumpuses. Tumpuses are amenable. Tumpuses are rompuses. Rompuses are not feisty. Each rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Floral($x, False)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Zumpus($x, True) → Amenable($x, False)\nrule4: Numpus($x, True) → Bright($x, True)\nrule5: Numpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Opaque($x, True)\nrule7: Jompus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Temperate($x, True)\nrule9: Dumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Sour($x, True)\nrule11: Wumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Blue($x, True)\nrule13: Vumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Amenable($x, True)\nrule15: Tumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Feisty($x, False)\nrule17: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Amenable($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Amenable('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Feisty($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nVumpus('Fae', True)\nTumpus('Fae', True)\nRompus('Fae', True)\nTemperate('Fae', True)\nSour('Fae', True)\nBlue('Fae', True)\nAmenable('Fae', True)\nFeisty('Fae', False)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Fae', True)\nAccording to the implied fact: Amenable('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-429_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Every zumpus is dull. Zumpuses are tumpuses. Each tumpus is not sweet. Every tumpus is a vumpus. Vumpuses are mean. Every vumpus is a rompus. Rompuses are not transparent. Rompuses are jompuses. Jompuses are orange. Every jompus is a dumpus. Every dumpus is not luminous. Impuses are not orange. Dumpuses are wumpuses. Wumpuses are shy. Wumpuses are yumpuses. Every yumpus is earthy. Every yumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Dull($x, True)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Sweet($x, False)\nrule4: Tumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Mean($x, True)\nrule6: Vumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Transparent($x, False)\nrule8: Rompus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Orange($x, True)\nrule10: Jompus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Luminous($x, False)\nrule12: Impus($x, True) → Orange($x, False)\nrule13: Dumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Shy($x, True)\nrule15: Wumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Earthy($x, True)\nrule17: Yumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Mean($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Mean('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Orange($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Luminous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Polly', True)\nJompus('Polly', True)\nDumpus('Polly', True)\nWumpus('Polly', True)\nYumpus('Polly', True)\nMean('Polly', True)\nTransparent('Polly', False)\nOrange('Polly', True)\nLuminous('Polly', False)\nShy('Polly', True)\nEarthy('Polly', True)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Polly', True)\nAccording to the implied fact: Orange('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-467_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Zumpuses are shy. Zumpuses are impuses. Each impus is not sour. Impuses are yumpuses. Each yumpus is dull. Yumpuses are jompuses. Jompuses are large. Every jompus is a numpus. Every numpus is not opaque. Each numpus is a tumpus. Each dumpus is opaque. Every tumpus is not angry. Each tumpus is a rompus. Each rompus is floral. Rompuses are wumpuses. Wumpuses are not wooden. Each wumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Shy($x, True)\nrule2: Zumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Sour($x, False)\nrule4: Impus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Dull($x, True)\nrule6: Yumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Large($x, True)\nrule8: Jompus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Opaque($x, False)\nrule10: Numpus($x, True) → Tumpus($x, True)\nrule11: Dumpus($x, True) → Opaque($x, True)\nrule12: Tumpus($x, True) → Angry($x, False)\nrule13: Tumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Floral($x, True)\nrule15: Rompus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Wooden($x, False)\nrule17: Wumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Tumpus($x, True) → Angry($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Angry('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nNumpus('Rex', True)\nTumpus('Rex', True)\nRompus('Rex', True)\nWumpus('Rex', True)\nDull('Rex', True)\nLarge('Rex', True)\nOpaque('Rex', False)\nAngry('Rex', False)\nFloral('Rex', True)\nWooden('Rex', False)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Rex', True)\nAccording to the implied fact: Wooden('Rex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-40_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a jompus. Every vumpus is not hot. Vumpuses are yumpuses. Yumpuses are small. Every yumpus is a jompus. Each jompus is bright. Each jompus is a rompus. Each rompus is floral. Every rompus is a zumpus. Zumpuses are sweet. Zumpuses are tumpuses. Tumpuses are not mean. Tumpuses are dumpuses. Dumpuses are not brown. Dumpuses are wumpuses. Every numpus is mean. Every wumpus is transparent. Each wumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Hot($x, False)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Small($x, True)\nrule4: Yumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Bright($x, True)\nrule6: Jompus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Floral($x, True)\nrule8: Rompus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Sweet($x, True)\nrule10: Zumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Mean($x, False)\nrule12: Tumpus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Brown($x, False)\nrule14: Dumpus($x, True) → Wumpus($x, True)\nrule15: Numpus($x, True) → Mean($x, True)\nrule16: Wumpus($x, True) → Transparent($x, True)\nrule17: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Floral($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Sweet($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Mean($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Mean('Alex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Brown($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nZumpus('Alex', True)\nTumpus('Alex', True)\nDumpus('Alex', True)\nWumpus('Alex', True)\nBright('Alex', True)\nFloral('Alex', True)\nSweet('Alex', True)\nMean('Alex', False)\nBrown('Alex', False)\nTransparent('Alex', True)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Alex', False)\nAccording to the implied fact: Rompus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-92_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Each jompus is happy. Jompuses are yumpuses. Each yumpus is not large. Each yumpus is a tumpus. Each tumpus is not wooden. Every tumpus is a rompus. Each rompus is brown. Rompuses are vumpuses. Dumpuses are not hot. Each vumpus is transparent. Every vumpus is a numpus. Every numpus is hot. Each numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Happy($x, True)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Large($x, False)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Wooden($x, False)\nrule6: Tumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Brown($x, True)\nrule8: Rompus($x, True) → Vumpus($x, True)\nrule9: Dumpus($x, True) → Hot($x, False)\nrule10: Vumpus($x, True) → Transparent($x, True)\nrule11: Vumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Hot($x, True)\nrule13: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Wooden($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Brown($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Brown('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Vumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nVumpus('Sam', True)\nNumpus('Sam', True)\nWooden('Sam', False)\nBrown('Sam', True)\nTransparent('Sam', True)\nHot('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is hot.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHot('Sam', True)\nAccording to the implied fact: Hot('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-285_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Every wumpus is nervous. Each wumpus is a numpus. Every numpus is large. Numpuses are impuses. Yumpuses are not nervous. Impuses are dull. Impuses are jompuses. Jompuses are not metallic. Every jompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Nervous($x, True)\nrule2: Wumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Large($x, True)\nrule4: Numpus($x, True) → Impus($x, True)\nrule5: Yumpus($x, True) → Nervous($x, False)\nrule6: Impus($x, True) → Dull($x, True)\nrule7: Impus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Metallic($x, False)\nrule9: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Impus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Metallic($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nNumpus('Sally', True)\nImpus('Sally', True)\nJompus('Sally', True)\nNervous('Sally', True)\nLarge('Sally', True)\nDull('Sally', True)\nMetallic('Sally', False)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Sally', True)\nAccording to the implied fact: Metallic('Sally', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-489_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Every vumpus is metallic. Each vumpus is a jompus. Each jompus is spicy. Every jompus is a zumpus. Each zumpus is opaque. Zumpuses are yumpuses. Yumpuses are mean. Every yumpus is an impus. Impuses are dull. Impuses are rompuses. Each rompus is fruity. Rompuses are dumpuses. Every dumpus is not cold. Each dumpus is a wumpus. Wumpuses are not happy. Numpuses are cold. Every wumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMean($x, bool) ::: Is x mean?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Metallic($x, True)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Spicy($x, True)\nrule4: Jompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Opaque($x, True)\nrule6: Zumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Mean($x, True)\nrule8: Yumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Dull($x, True)\nrule10: Impus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Fruity($x, True)\nrule12: Rompus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Cold($x, False)\nrule14: Dumpus($x, True) → Wumpus($x, True)\nrule15: Wumpus($x, True) → Happy($x, False)\nrule16: Numpus($x, True) → Cold($x, True)\nrule17: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Impus($x, True) → Dull($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Cold($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Happy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nDumpus('Max', True)\nWumpus('Max', True)\nDull('Max', True)\nFruity('Max', True)\nCold('Max', False)\nHappy('Max', False)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Max', False)\nAccording to the implied fact: Dumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-400_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Each dumpus is large. Each yumpus is not earthy. Each dumpus is a wumpus. Every wumpus is not shy. Every wumpus is a jompus. Jompuses are spicy. Every jompus is a zumpus. Every zumpus is not luminous. Zumpuses are rompuses. Rompuses are earthy. Each rompus is an impus. Each impus is not orange. Each impus is a numpus. Each numpus is hot. Each numpus is a vumpus. Every vumpus is bright. Vumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, True)\nrule2: Yumpus($x, True) → Earthy($x, False)\nrule3: Dumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Shy($x, False)\nrule5: Wumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Spicy($x, True)\nrule7: Jompus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Luminous($x, False)\nrule9: Zumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Earthy($x, True)\nrule11: Rompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Orange($x, False)\nrule13: Impus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Hot($x, True)\nrule15: Numpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Bright($x, True)\nrule17: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Shy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Shy('Sam', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Luminous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Orange($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nJompus('Sam', True)\nZumpus('Sam', True)\nRompus('Sam', True)\nImpus('Sam', True)\nNumpus('Sam', True)\nVumpus('Sam', True)\nLarge('Sam', True)\nShy('Sam', False)\nSpicy('Sam', True)\nLuminous('Sam', False)\nEarthy('Sam', True)\nOrange('Sam', False)\nHot('Sam', True)\nBright('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Sam', False)\nAccording to the implied fact: Large('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-149_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Impuses are opaque. Impuses are rompuses. Rompuses are not spicy. Every rompus is a jompus. Every jompus is not bright. Jompuses are wumpuses. Each wumpus is liquid. Every wumpus is a yumpus. Every yumpus is not shy. Each numpus is shy. Every yumpus is a vumpus. Each vumpus is red. Each vumpus is a tumpus. Tumpuses are large. Every tumpus is a dumpus. Dumpuses are fruity. Every dumpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nOpaque($x, bool) ::: Is x opaque?\nSpicy($x, bool) ::: Is x spicy?\nBright($x, bool) ::: Is x bright?\nRed($x, bool) ::: Is x red?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Opaque($x, True)\nrule2: Impus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Spicy($x, False)\nrule4: Rompus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Bright($x, False)\nrule6: Jompus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Liquid($x, True)\nrule8: Wumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Shy($x, False)\nrule10: Numpus($x, True) → Shy($x, True)\nrule11: Yumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Red($x, True)\nrule13: Vumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Large($x, True)\nrule15: Tumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Fruity($x, True)\nrule17: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Liquid($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Liquid('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Red($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Large($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Fruity($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nYumpus('Stella', True)\nVumpus('Stella', True)\nTumpus('Stella', True)\nDumpus('Stella', True)\nBright('Stella', False)\nLiquid('Stella', True)\nShy('Stella', False)\nRed('Stella', True)\nLarge('Stella', True)\nFruity('Stella', True)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Stella', False)\nAccording to the implied fact: Wumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-40_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Yumpuses are blue. Every yumpus is a vumpus. Each vumpus is not large. Vumpuses are zumpuses. Zumpuses are floral. Zumpuses are wumpuses. Wumpuses are not dull. Wumpuses are numpuses. Every numpus is temperate. Numpuses are dumpuses. Dumpuses are not liquid. Dumpuses are rompuses. Impuses are not temperate. Every rompus is transparent. Rompuses are tumpuses. Tumpuses are feisty. Tumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Blue($x, True)\nrule2: Yumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Large($x, False)\nrule4: Vumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Floral($x, True)\nrule6: Zumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Dull($x, False)\nrule8: Wumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Temperate($x, True)\nrule10: Numpus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Liquid($x, False)\nrule12: Dumpus($x, True) → Rompus($x, True)\nrule13: Impus($x, True) → Temperate($x, False)\nrule14: Rompus($x, True) → Transparent($x, True)\nrule15: Rompus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Feisty($x, True)\nrule17: Tumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Liquid($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Fae', True)\nZumpus('Fae', True)\nWumpus('Fae', True)\nNumpus('Fae', True)\nDumpus('Fae', True)\nRompus('Fae', True)\nTumpus('Fae', True)\nBlue('Fae', True)\nLarge('Fae', False)\nFloral('Fae', True)\nDull('Fae', False)\nTemperate('Fae', True)\nLiquid('Fae', False)\nTransparent('Fae', True)\nFeisty('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', False)\nAccording to the implied fact: Tumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-4_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Each impus is feisty. Impuses are yumpuses. Each yumpus is not bitter. Yumpuses are jompuses. Every jompus is transparent. Every jompus is a vumpus. Every vumpus is not hot. Every vumpus is a dumpus. Dumpuses are small. Dumpuses are tumpuses. Tumpuses are amenable. Each tumpus is a wumpus. Each wumpus is not bright. Wumpuses are numpuses. Each numpus is not metallic. Numpuses are zumpuses. Rompuses are hot.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Feisty($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Bitter($x, False)\nrule4: Yumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Transparent($x, True)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Hot($x, False)\nrule8: Vumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Small($x, True)\nrule10: Dumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Amenable($x, True)\nrule12: Tumpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Bright($x, False)\nrule14: Wumpus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Metallic($x, False)\nrule16: Numpus($x, True) → Zumpus($x, True)\nrule17: Rompus($x, True) → Hot($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Bitter($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Hot($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Amenable($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Bright($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Metallic($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nJompus('Alex', True)\nVumpus('Alex', True)\nDumpus('Alex', True)\nTumpus('Alex', True)\nWumpus('Alex', True)\nNumpus('Alex', True)\nFeisty('Alex', True)\nBitter('Alex', False)\nTransparent('Alex', True)\nHot('Alex', False)\nSmall('Alex', True)\nAmenable('Alex', True)\nBright('Alex', False)\nMetallic('Alex', False)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Alex', False)\nAccording to the implied fact: Numpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-160_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Each zumpus is not spicy. Zumpuses are jompuses. Jompuses are aggressive. Jompuses are dumpuses. Dumpuses are bright. Dumpuses are wumpuses. Wumpuses are happy. Every wumpus is a vumpus. Each vumpus is not small. Each vumpus is a numpus. Numpuses are not transparent. Numpuses are tumpuses. Each tumpus is not metallic. Tumpuses are rompuses. Every rompus is not earthy. Rompuses are impuses. Each yumpus is metallic.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSpicy($x, bool) ::: Is x spicy?\nAggressive($x, bool) ::: Is x aggressive?\nBright($x, bool) ::: Is x bright?\nHappy($x, bool) ::: Is x happy?\nSmall($x, bool) ::: Is x small?\nMetallic($x, bool) ::: Is x metallic?\nEarthy($x, bool) ::: Is x earthy?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Spicy($x, False)\nrule2: Zumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Aggressive($x, True)\nrule4: Jompus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Bright($x, True)\nrule6: Dumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Happy($x, True)\nrule8: Wumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Small($x, False)\nrule10: Vumpus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Transparent($x, False)\nrule12: Numpus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Metallic($x, False)\nrule14: Tumpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Earthy($x, False)\nrule16: Rompus($x, True) → Impus($x, True)\nrule17: Yumpus($x, True) → Metallic($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Vumpus($x, True) → Small($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Transparent($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Metallic($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Metallic('Sally', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nNumpus('Sally', True)\nTumpus('Sally', True)\nRompus('Sally', True)\nSmall('Sally', False)\nTransparent('Sally', False)\nMetallic('Sally', False)\nEarthy('Sally', False)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Sally', True)\nAccording to the implied fact: Earthy('Sally', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-79_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a jompus. Impuses are blue. Every impus is a jompus. Every jompus is temperate. Dumpuses are not aggressive. Jompuses are tumpuses. Tumpuses are aggressive. Tumpuses are numpuses. Numpuses are bright. Numpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBlue($x, bool) ::: Is x blue?\nTemperate($x, bool) ::: Is x temperate?\nAggressive($x, bool) ::: Is x aggressive?\nBright($x, bool) ::: Is x bright?\n\nWe have following known facts from the context:\nJompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Blue($x, True)\nrule2: Impus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Temperate($x, True)\nrule4: Dumpus($x, True) → Aggressive($x, False)\nrule5: Jompus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Aggressive($x, True)\nrule7: Tumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Bright($x, True)\nrule9: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nNumpus('Wren', True)\nTemperate('Wren', True)\nAggressive('Wren', True)\nBright('Wren', True)\nYumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Wren', False)\nAccording to the known fact: Jompus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-141_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Impuses are sour. Impuses are vumpuses. Each vumpus is small. Vumpuses are jompuses. Every jompus is mean. Jompuses are rompuses. Every zumpus is dull. Rompuses are floral. Rompuses are tumpuses. Tumpuses are not cold. Tumpuses are numpuses. Every numpus is not opaque. Every numpus is a wumpus. Each wumpus is not dull. Each wumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSour($x, bool) ::: Is x sour?\nSmall($x, bool) ::: Is x small?\nFloral($x, bool) ::: Is x floral?\nOpaque($x, bool) ::: Is x opaque?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Sour($x, True)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Small($x, True)\nrule4: Vumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Mean($x, True)\nrule6: Jompus($x, True) → Rompus($x, True)\nrule7: Zumpus($x, True) → Dull($x, True)\nrule8: Rompus($x, True) → Floral($x, True)\nrule9: Rompus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Cold($x, False)\nrule11: Tumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Opaque($x, False)\nrule13: Numpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Dull($x, False)\nrule15: Wumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nDull('Sally', False)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is yumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Sally', True)\nAccording to the implied fact: Yumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-398_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a dumpus. Every dumpus is cold. Dumpuses are vumpuses. Vumpuses are earthy. Each vumpus is a zumpus. Each zumpus is happy. Zumpuses are numpuses. Every numpus is luminous. Numpuses are rompuses. Rompuses are sour. Rompuses are jompuses. Each jompus is angry. Jompuses are tumpuses. Wumpuses are not happy. Each tumpus is small. Each tumpus is a yumpus. Yumpuses are not dull. Each yumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Cold($x, True)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Earthy($x, True)\nrule4: Vumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Happy($x, True)\nrule6: Zumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Luminous($x, True)\nrule8: Numpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Sour($x, True)\nrule10: Rompus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Angry($x, True)\nrule12: Jompus($x, True) → Tumpus($x, True)\nrule13: Wumpus($x, True) → Happy($x, False)\nrule14: Tumpus($x, True) → Small($x, True)\nrule15: Tumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Dull($x, False)\nrule17: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Happy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Luminous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Sour($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Angry($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Angry('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Tumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Alex', True)\nZumpus('Alex', True)\nNumpus('Alex', True)\nRompus('Alex', True)\nJompus('Alex', True)\nTumpus('Alex', True)\nYumpus('Alex', True)\nCold('Alex', True)\nEarthy('Alex', True)\nHappy('Alex', True)\nLuminous('Alex', True)\nSour('Alex', True)\nAngry('Alex', True)\nSmall('Alex', True)\nDull('Alex', False)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Alex', False)\nAccording to the implied fact: Sour('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-243_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Every dumpus is not fruity. Dumpuses are impuses. Each impus is not luminous. Every impus is a rompus. Rompuses are transparent. Every rompus is a wumpus. Wumpuses are dull. Each numpus is spicy. Each wumpus is a jompus. Each jompus is not small. Jompuses are yumpuses. Every yumpus is not spicy. Yumpuses are zumpuses. Each zumpus is not blue. Every zumpus is a tumpus. Tumpuses are temperate. Every tumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Fruity($x, False)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Luminous($x, False)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Transparent($x, True)\nrule6: Rompus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Dull($x, True)\nrule8: Numpus($x, True) → Spicy($x, True)\nrule9: Wumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Small($x, False)\nrule11: Jompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Spicy($x, False)\nrule13: Yumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Blue($x, False)\nrule15: Zumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Temperate($x, True)\nrule17: Tumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Jompus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Spicy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Spicy('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Blue($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Blue('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nZumpus('Polly', True)\nTumpus('Polly', True)\nSmall('Polly', False)\nSpicy('Polly', False)\nBlue('Polly', False)\nTemperate('Polly', True)\nVumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Polly', False)\nAccording to the implied fact: Tumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-332_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Each tumpus is not shy. Every vumpus is transparent. Each tumpus is a dumpus. Dumpuses are not transparent. Each dumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Shy($x, False)\nrule2: Vumpus($x, True) → Transparent($x, True)\nrule3: Tumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Transparent($x, False)\nrule5: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Dumpus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nTransparent('Polly', False)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Polly', False)\nAccording to the known fact: Dumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-312_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a wumpus. Numpuses are sour. Each wumpus is not amenable. Wumpuses are vumpuses. Vumpuses are not sour. Each vumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSour($x, bool) ::: Is x sour?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nPolly($x, bool) ::: Does x belong to Polly?\n\nWe have following known facts from the context:\nWumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Sour($x, True)\nrule2: Wumpus($x, True) → Amenable($x, False)\nrule3: Wumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Sour($x, False)\nrule5: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Wumpus($x, True) → Amenable($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Sour($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Sour('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nAmenable('Polly', False)\nSour('Polly', False)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Polly', True)\nAccording to the implied fact: Sour('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-109_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Tumpuses are not liquid. Each tumpus is a yumpus. Yumpuses are not fruity. Zumpuses are fruity. Each yumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Liquid($x, False)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Fruity($x, False)\nrule4: Zumpus($x, True) → Fruity($x, True)\nrule5: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nFruity('Fae', False)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Fae', True)\nAccording to the known fact: Yumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-371_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Numpuses are opaque. Numpuses are zumpuses. Every zumpus is not wooden. Zumpuses are rompuses. Rompuses are fruity. Every rompus is a jompus. Each jompus is not kind. Jompuses are impuses. Each dumpus is not dull. Each impus is cold. Each impus is a yumpus. Every yumpus is dull. Every yumpus is a vumpus. Vumpuses are not orange. Vumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nOpaque($x, bool) ::: Is x opaque?\nWooden($x, bool) ::: Is x wooden?\nKind($x, bool) ::: Is x kind?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Opaque($x, True)\nrule2: Numpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Wooden($x, False)\nrule4: Zumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Fruity($x, True)\nrule6: Rompus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Kind($x, False)\nrule8: Jompus($x, True) → Impus($x, True)\nrule9: Dumpus($x, True) → Dull($x, False)\nrule10: Impus($x, True) → Cold($x, True)\nrule11: Impus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Dull($x, True)\nrule13: Yumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Orange($x, False)\nrule15: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Impus($x, True) → Cold($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Orange($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nYumpus('Fae', True)\nVumpus('Fae', True)\nCold('Fae', True)\nDull('Fae', True)\nOrange('Fae', False)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Fae', False)\nAccording to the implied fact: Cold('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-390_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Every rompus is transparent. Every rompus is a wumpus. Wumpuses are cold. Each wumpus is an impus. Each impus is angry. Impuses are yumpuses. Yumpuses are not brown. Yumpuses are vumpuses. Every vumpus is small. Every vumpus is a tumpus. Tumpuses are dull. Each tumpus is a numpus. Numpuses are nervous. Every numpus is a dumpus. Each dumpus is not sweet. Every jompus is sweet. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nAngry($x, bool) ::: Is x angry?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Transparent($x, True)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Cold($x, True)\nrule4: Wumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Angry($x, True)\nrule6: Impus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Brown($x, False)\nrule8: Yumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Small($x, True)\nrule10: Vumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Dull($x, True)\nrule12: Tumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Nervous($x, True)\nrule14: Numpus($x, True) → Dumpus($x, True)\nrule15: Dumpus($x, True) → Sweet($x, False)\nrule16: Jompus($x, True) → Sweet($x, True)\nrule17: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule13: Numpus($x, True) → Nervous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Sweet($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Sweet('Sally', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nNervous('Sally', True)\nSweet('Sally', False)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Sally', False)\nAccording to the implied fact: Nervous('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-378_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Every tumpus is not temperate. Tumpuses are rompuses. Every rompus is not bitter. Rompuses are numpuses. Every numpus is not liquid. Each jompus is not amenable. Numpuses are yumpuses. Every yumpus is transparent. Yumpuses are wumpuses. Wumpuses are bright. Wumpuses are vumpuses. Every vumpus is brown. Vumpuses are impuses. Each impus is shy. Impuses are dumpuses. Each dumpus is amenable. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTemperate($x, bool) ::: Is x temperate?\nBitter($x, bool) ::: Is x bitter?\nAmenable($x, bool) ::: Is x amenable?\nBright($x, bool) ::: Is x bright?\nBrown($x, bool) ::: Is x brown?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Temperate($x, False)\nrule2: Tumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Bitter($x, False)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Liquid($x, False)\nrule6: Jompus($x, True) → Amenable($x, False)\nrule7: Numpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Transparent($x, True)\nrule9: Yumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Bright($x, True)\nrule11: Wumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Brown($x, True)\nrule13: Vumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Shy($x, True)\nrule15: Impus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Amenable($x, True)\nrule17: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Shy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Amenable($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nVumpus('Alex', True)\nImpus('Alex', True)\nDumpus('Alex', True)\nTransparent('Alex', True)\nBright('Alex', True)\nBrown('Alex', True)\nShy('Alex', True)\nAmenable('Alex', True)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Alex', True)\nAccording to the implied fact: Amenable('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-239_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Every yumpus is feisty. Yumpuses are dumpuses. Dumpuses are not dull. Every dumpus is an impus. Every wumpus is dull.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Feisty($x, True)\nrule2: Yumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Dull($x, False)\nrule4: Dumpus($x, True) → Impus($x, True)\nrule5: Wumpus($x, True) → Dull($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Dull($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nDull('Max', False)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', True)\nAccording to the implied fact: Impus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-223_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Every vumpus is not floral. Impuses are not red. Each vumpus is a yumpus. Every yumpus is red. Yumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Floral($x, False)\nrule2: Impus($x, True) → Red($x, False)\nrule3: Vumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Red($x, True)\nrule5: Yumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Red($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nFloral('Stella', False)\nRed('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Stella', False)\nAccording to the implied fact: Yumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-111_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Every vumpus is angry. Every vumpus is an impus. Impuses are happy. Every impus is a yumpus. Each numpus is not bright. Yumpuses are bright. Each yumpus is a rompus. Rompuses are sweet. Rompuses are wumpuses. Each wumpus is not luminous. Wumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Angry($x, True)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Happy($x, True)\nrule4: Impus($x, True) → Yumpus($x, True)\nrule5: Numpus($x, True) → Bright($x, False)\nrule6: Yumpus($x, True) → Bright($x, True)\nrule7: Yumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Sweet($x, True)\nrule9: Rompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Luminous($x, False)\nrule11: Wumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Luminous($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Stella', True)\nWumpus('Stella', True)\nBright('Stella', True)\nSweet('Stella', True)\nLuminous('Stella', False)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is sweet.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSweet('Stella', True)\nAccording to the implied fact: Sweet('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-486_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Each rompus is temperate. Rompuses are dumpuses. Dumpuses are not blue. Wumpuses are opaque. Dumpuses are zumpuses. Zumpuses are feisty. Zumpuses are yumpuses. Yumpuses are sweet. Each yumpus is a jompus. Jompuses are not opaque. Every jompus is an impus. Every impus is wooden. Each impus is a vumpus. Every vumpus is not large. Vumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Temperate($x, True)\nrule2: Rompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Blue($x, False)\nrule4: Wumpus($x, True) → Opaque($x, True)\nrule5: Dumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Feisty($x, True)\nrule7: Zumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Sweet($x, True)\nrule9: Yumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Opaque($x, False)\nrule11: Jompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Wooden($x, True)\nrule13: Impus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Large($x, False)\nrule15: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Feisty($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Large($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nJompus('Wren', True)\nImpus('Wren', True)\nVumpus('Wren', True)\nFeisty('Wren', True)\nSweet('Wren', True)\nOpaque('Wren', False)\nWooden('Wren', True)\nLarge('Wren', False)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Wren', True)\nAccording to the known fact: Zumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-407_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Each rompus is not small. Rompuses are jompuses. Jompuses are sour. Every jompus is an impus. Impuses are not red. Each impus is a numpus. Yumpuses are not fruity. Numpuses are fruity. Every numpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSmall($x, bool) ::: Is x small?\nSour($x, bool) ::: Is x sour?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Small($x, False)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Sour($x, True)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Red($x, False)\nrule6: Impus($x, True) → Numpus($x, True)\nrule7: Yumpus($x, True) → Fruity($x, False)\nrule8: Numpus($x, True) → Fruity($x, True)\nrule9: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Small($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Sour($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Red($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Sam', True)\nImpus('Sam', True)\nNumpus('Sam', True)\nSmall('Sam', False)\nSour('Sam', True)\nRed('Sam', False)\nFruity('Sam', True)\nZumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Sam', True)\nAccording to the implied fact: Sour('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-77_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a jompus. Yumpuses are sweet. Every yumpus is an impus. Impuses are cold. Each impus is a jompus. Every jompus is not kind. Each jompus is a zumpus. Each zumpus is shy. Zumpuses are numpuses. Numpuses are earthy. Every numpus is a tumpus. Each tumpus is small. Tumpuses are vumpuses. Vumpuses are dull. Vumpuses are rompuses. Rompuses are brown. Every rompus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSweet($x, bool) ::: Is x sweet?\nKind($x, bool) ::: Is x kind?\nEarthy($x, bool) ::: Is x earthy?\nSmall($x, bool) ::: Is x small?\nBrown($x, bool) ::: Is x brown?\n\nWe have following known facts from the context:\nJompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Sweet($x, True)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Cold($x, True)\nrule4: Impus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Kind($x, False)\nrule6: Jompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Shy($x, True)\nrule8: Zumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Earthy($x, True)\nrule10: Numpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Small($x, True)\nrule12: Tumpus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Dull($x, True)\nrule14: Vumpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Brown($x, True)\nrule16: Rompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Kind($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Shy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Shy('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nNumpus('Wren', True)\nTumpus('Wren', True)\nVumpus('Wren', True)\nRompus('Wren', True)\nKind('Wren', False)\nShy('Wren', True)\nEarthy('Wren', True)\nSmall('Wren', True)\nDull('Wren', True)\nBrown('Wren', True)\nWumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is rompus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Wren', True)\nAccording to the implied fact: Rompus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-481_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Jompuses are nervous. Jompuses are rompuses. Each rompus is bright. Each rompus is a tumpus. Every tumpus is large. Tumpuses are zumpuses. Every zumpus is transparent. Dumpuses are temperate. Every zumpus is a wumpus. Every wumpus is kind. Each wumpus is a yumpus. Yumpuses are not liquid. Yumpuses are numpuses. Numpuses are not temperate. Numpuses are impuses. Impuses are sour. Impuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Nervous($x, True)\nrule2: Jompus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Bright($x, True)\nrule4: Rompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Large($x, True)\nrule6: Tumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Transparent($x, True)\nrule8: Dumpus($x, True) → Temperate($x, True)\nrule9: Zumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Kind($x, True)\nrule11: Wumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Liquid($x, False)\nrule13: Yumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Temperate($x, False)\nrule15: Numpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Sour($x, True)\nrule17: Impus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Kind($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Liquid($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Temperate($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nYumpus('Fae', True)\nNumpus('Fae', True)\nImpus('Fae', True)\nTransparent('Fae', True)\nKind('Fae', True)\nLiquid('Fae', False)\nTemperate('Fae', False)\nSour('Fae', True)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Fae', True)\nAccording to the implied fact: Liquid('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-62_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Every jompus is not large. Each jompus is a vumpus. Every vumpus is not fruity. Vumpuses are rompuses. Every rompus is not blue. Rompuses are yumpuses. Every impus is large.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Large($x, False)\nrule2: Jompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Fruity($x, False)\nrule4: Vumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Blue($x, False)\nrule6: Rompus($x, True) → Yumpus($x, True)\nrule7: Impus($x, True) → Large($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Fruity($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Blue($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nRompus('Max', True)\nLarge('Max', False)\nFruity('Max', False)\nBlue('Max', False)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Max', False)\nAccording to the implied fact: Blue('Max', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-435_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Every tumpus is not nervous. Every tumpus is a yumpus. Each yumpus is sweet. Each yumpus is a vumpus. Each dumpus is not sweet.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Nervous($x, False)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Sweet($x, True)\nrule4: Yumpus($x, True) → Vumpus($x, True)\nrule5: Dumpus($x, True) → Sweet($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nSweet('Fae', True)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not sweet.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSweet('Fae', False)\nAccording to the implied fact: Sweet('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-486_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a rompus. Vumpuses are wooden. Vumpuses are rompuses. Rompuses are not hot. Every rompus is a numpus. Dumpuses are not aggressive. Numpuses are aggressive. Numpuses are impuses. Impuses are not fruity. Impuses are jompuses. Every jompus is not transparent. Every jompus is a zumpus. Every zumpus is feisty. Each zumpus is a yumpus. Yumpuses are dull. Every yumpus is a wumpus. Each wumpus is not red. Each wumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Wooden($x, True)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Hot($x, False)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Dumpus($x, True) → Aggressive($x, False)\nrule6: Numpus($x, True) → Aggressive($x, True)\nrule7: Numpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Fruity($x, False)\nrule9: Impus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Transparent($x, False)\nrule11: Jompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Feisty($x, True)\nrule13: Zumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Dull($x, True)\nrule15: Yumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Red($x, False)\nrule17: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Hot($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Numpus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Fruity($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Transparent($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Red($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nImpus('Rex', True)\nJompus('Rex', True)\nZumpus('Rex', True)\nYumpus('Rex', True)\nWumpus('Rex', True)\nHot('Rex', False)\nAggressive('Rex', True)\nFruity('Rex', False)\nTransparent('Rex', False)\nFeisty('Rex', True)\nDull('Rex', True)\nRed('Rex', False)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Rex', True)\nAccording to the implied fact: Jompus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-104_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a dumpus. Every vumpus is not kind. Each vumpus is a numpus. Numpuses are luminous. Every numpus is a rompus. Each rompus is transparent. Rompuses are impuses. Every impus is not brown. Each impus is a jompus. Jompuses are sour. Each jompus is a yumpus. Each yumpus is dull. Yumpuses are dumpuses. Dumpuses are not floral. Every zumpus is floral. Dumpuses are tumpuses. Every tumpus is small. Every tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nDumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Kind($x, False)\nrule2: Vumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Luminous($x, True)\nrule4: Numpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Transparent($x, True)\nrule6: Rompus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Brown($x, False)\nrule8: Impus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Sour($x, True)\nrule10: Jompus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Dull($x, True)\nrule12: Yumpus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Floral($x, False)\nrule14: Zumpus($x, True) → Floral($x, True)\nrule15: Dumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Small($x, True)\nrule17: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule13: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Stella', True)\nFloral('Stella', False)\nSmall('Stella', True)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Stella', True)\nAccording to the implied fact: Small('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-251_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Each impus is bitter. Every impus is a numpus. Numpuses are happy. Numpuses are zumpuses. Zumpuses are kind. Zumpuses are wumpuses. Jompuses are not kind.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Bitter($x, True)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Happy($x, True)\nrule4: Numpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Kind($x, True)\nrule6: Zumpus($x, True) → Wumpus($x, True)\nrule7: Jompus($x, True) → Kind($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Happy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Kind($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Kind('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nNumpus('Sally', True)\nZumpus('Sally', True)\nBitter('Sally', True)\nHappy('Sally', True)\nKind('Sally', True)\nWumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sally', False)\nAccording to the implied fact: Wumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-371_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a wumpus. Every wumpus is cold. Wumpuses are vumpuses. Each vumpus is spicy. Every vumpus is a dumpus. Dumpuses are opaque. Dumpuses are zumpuses. Each zumpus is red. Each zumpus is a tumpus. Each tumpus is earthy. Tumpuses are rompuses. Rompuses are not nervous. Rompuses are numpuses. Every numpus is not amenable. Every jompus is not cold. Every numpus is a yumpus. Each yumpus is bright. Yumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Cold($x, True)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Spicy($x, True)\nrule4: Vumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Opaque($x, True)\nrule6: Dumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Red($x, True)\nrule8: Zumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Earthy($x, True)\nrule10: Tumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Nervous($x, False)\nrule12: Rompus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Amenable($x, False)\nrule14: Jompus($x, True) → Cold($x, False)\nrule15: Numpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Bright($x, True)\nrule17: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Nervous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Amenable($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Sam', True)\nDumpus('Sam', True)\nZumpus('Sam', True)\nTumpus('Sam', True)\nRompus('Sam', True)\nNumpus('Sam', True)\nYumpus('Sam', True)\nCold('Sam', True)\nSpicy('Sam', True)\nOpaque('Sam', True)\nRed('Sam', True)\nEarthy('Sam', True)\nNervous('Sam', False)\nAmenable('Sam', False)\nBright('Sam', True)\nImpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sam', True)\nAccording to the implied fact: Impus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-382_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a tumpus. Zumpuses are small. Zumpuses are tumpuses. Tumpuses are amenable. Tumpuses are impuses. Impuses are transparent. Every impus is a numpus. Numpuses are blue. Each numpus is a jompus. Jompuses are liquid. Every jompus is a dumpus. Dumpuses are not nervous. Every wumpus is not transparent. Dumpuses are rompuses. Rompuses are bright. Rompuses are yumpuses. Each yumpus is not earthy. Yumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSmall($x, bool) ::: Is x small?\nAmenable($x, bool) ::: Is x amenable?\nBlue($x, bool) ::: Is x blue?\nNervous($x, bool) ::: Is x nervous?\nBright($x, bool) ::: Is x bright?\nEarthy($x, bool) ::: Is x earthy?\n\nWe have following known facts from the context:\nTumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Small($x, True)\nrule2: Zumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Amenable($x, True)\nrule4: Tumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Transparent($x, True)\nrule6: Impus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Blue($x, True)\nrule8: Numpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Liquid($x, True)\nrule10: Jompus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Nervous($x, False)\nrule12: Wumpus($x, True) → Transparent($x, False)\nrule13: Dumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Bright($x, True)\nrule15: Rompus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Earthy($x, False)\nrule17: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Amenable($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Nervous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nNumpus('Sally', True)\nJompus('Sally', True)\nDumpus('Sally', True)\nRompus('Sally', True)\nYumpus('Sally', True)\nAmenable('Sally', True)\nTransparent('Sally', True)\nBlue('Sally', True)\nLiquid('Sally', True)\nNervous('Sally', False)\nBright('Sally', True)\nEarthy('Sally', False)\nVumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Sally', True)\nAccording to the implied fact: Nervous('Sally', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-67_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Each vumpus is not bright. Vumpuses are numpuses. Every numpus is not metallic. Numpuses are impuses. Each impus is red. Impuses are wumpuses. Wumpuses are not angry. Every jompus is not nervous. Each wumpus is a yumpus. Every yumpus is hot. Each yumpus is a zumpus. Zumpuses are small. Zumpuses are tumpuses. Every tumpus is nervous. Every tumpus is a rompus. Each rompus is transparent. Rompuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Bright($x, False)\nrule2: Vumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Metallic($x, False)\nrule4: Numpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Red($x, True)\nrule6: Impus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Angry($x, False)\nrule8: Jompus($x, True) → Nervous($x, False)\nrule9: Wumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Hot($x, True)\nrule11: Yumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Small($x, True)\nrule13: Zumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Nervous($x, True)\nrule15: Tumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Transparent($x, True)\nrule17: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Red($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Angry($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nYumpus('Fae', True)\nZumpus('Fae', True)\nTumpus('Fae', True)\nRompus('Fae', True)\nRed('Fae', True)\nAngry('Fae', False)\nHot('Fae', True)\nSmall('Fae', True)\nNervous('Fae', True)\nTransparent('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Fae', False)\nAccording to the implied fact: Yumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-441_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Zumpuses are angry. Zumpuses are numpuses. Each numpus is temperate. Numpuses are jompuses. Tumpuses are not floral. Jompuses are wooden. Every jompus is a rompus. Each rompus is small. Rompuses are dumpuses. Dumpuses are opaque. Every dumpus is a wumpus. Each wumpus is bright. Wumpuses are impuses. Impuses are floral. Impuses are vumpuses. Every vumpus is not shy. Vumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nAngry($x, bool) ::: Is x angry?\nTemperate($x, bool) ::: Is x temperate?\nWooden($x, bool) ::: Is x wooden?\nSmall($x, bool) ::: Is x small?\nOpaque($x, bool) ::: Is x opaque?\nBright($x, bool) ::: Is x bright?\nFloral($x, bool) ::: Is x floral?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Angry($x, True)\nrule2: Zumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Temperate($x, True)\nrule4: Numpus($x, True) → Jompus($x, True)\nrule5: Tumpus($x, True) → Floral($x, False)\nrule6: Jompus($x, True) → Wooden($x, True)\nrule7: Jompus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Small($x, True)\nrule9: Rompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Opaque($x, True)\nrule11: Dumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Bright($x, True)\nrule13: Wumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Floral($x, True)\nrule15: Impus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Shy($x, False)\nrule17: Vumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Jompus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Shy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Shy('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nDumpus('Sam', True)\nWumpus('Sam', True)\nImpus('Sam', True)\nVumpus('Sam', True)\nWooden('Sam', True)\nSmall('Sam', True)\nOpaque('Sam', True)\nBright('Sam', True)\nFloral('Sam', True)\nShy('Sam', False)\nYumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not dumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sam', False)\nAccording to the implied fact: Dumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-48_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Every yumpus is angry. Rompuses are not feisty. Rompuses are jompuses. Each jompus is not opaque. Every jompus is a dumpus. Dumpuses are luminous. Every dumpus is a zumpus. Each zumpus is not cold. Zumpuses are impuses. Impuses are dull. Every impus is a vumpus. Each vumpus is not angry. Each vumpus is a wumpus. Every wumpus is red. Each wumpus is a numpus. Numpuses are bitter. Each numpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Angry($x, True)\nrule2: Rompus($x, True) → Feisty($x, False)\nrule3: Rompus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Opaque($x, False)\nrule5: Jompus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Luminous($x, True)\nrule7: Dumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Cold($x, False)\nrule9: Zumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Dull($x, True)\nrule11: Impus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Angry($x, False)\nrule13: Vumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Red($x, True)\nrule15: Wumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Bitter($x, True)\nrule17: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Cold($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Angry($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Angry('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Red($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Bitter($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nZumpus('Polly', True)\nImpus('Polly', True)\nVumpus('Polly', True)\nWumpus('Polly', True)\nNumpus('Polly', True)\nOpaque('Polly', False)\nLuminous('Polly', True)\nCold('Polly', False)\nDull('Polly', True)\nAngry('Polly', False)\nRed('Polly', True)\nBitter('Polly', True)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Polly', True)\nAccording to the implied fact: Tumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-116_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Yumpuses are small. Every numpus is not fruity. Numpuses are rompuses. Every rompus is mean. Each rompus is a vumpus. Every vumpus is liquid. Vumpuses are jompuses. Every jompus is feisty. Jompuses are zumpuses. Every zumpus is cold. Zumpuses are dumpuses. Every dumpus is not small. Dumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSmall($x, bool) ::: Is x small?\nFruity($x, bool) ::: Is x fruity?\nMean($x, bool) ::: Is x mean?\nLiquid($x, bool) ::: Is x liquid?\nFeisty($x, bool) ::: Is x feisty?\nCold($x, bool) ::: Is x cold?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Small($x, True)\nrule2: Numpus($x, True) → Fruity($x, False)\nrule3: Numpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Mean($x, True)\nrule5: Rompus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Liquid($x, True)\nrule7: Vumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Feisty($x, True)\nrule9: Jompus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Cold($x, True)\nrule11: Zumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Small($x, False)\nrule13: Dumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Small($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nCold('Fae', True)\nSmall('Fae', False)\nTumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not tumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', False)\nAccording to the implied fact: Tumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-345_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Each wumpus is wooden. Wumpuses are tumpuses. Tumpuses are bright. Tumpuses are zumpuses. Zumpuses are earthy. Every zumpus is a rompus. Rompuses are small. Every rompus is a dumpus. Each dumpus is opaque. Every dumpus is a vumpus. Each vumpus is hot. Each vumpus is a jompus. Each jompus is blue. Jompuses are numpuses. Numpuses are nervous. Every impus is not blue. Numpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Wooden($x, True)\nrule2: Wumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Bright($x, True)\nrule4: Tumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Earthy($x, True)\nrule6: Zumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Small($x, True)\nrule8: Rompus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Opaque($x, True)\nrule10: Dumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Hot($x, True)\nrule12: Vumpus($x, True) → Jompus($x, True)\nrule13: Jompus($x, True) → Blue($x, True)\nrule14: Jompus($x, True) → Numpus($x, True)\nrule15: Numpus($x, True) → Nervous($x, True)\nrule16: Impus($x, True) → Blue($x, False)\nrule17: Numpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Nervous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Max', True)\nJompus('Max', True)\nNumpus('Max', True)\nOpaque('Max', True)\nHot('Max', True)\nBlue('Max', True)\nNervous('Max', True)\nYumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Max', True)\nAccording to the known fact: Dumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-391_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a wumpus. Each numpus is bitter. Each numpus is a wumpus. Wumpuses are feisty. Wumpuses are impuses. Every impus is not small. Each impus is a dumpus. Dumpuses are not orange. Every dumpus is a yumpus. Every yumpus is opaque. Each rompus is orange. Yumpuses are jompuses. Jompuses are not luminous. Each jompus is a zumpus. Zumpuses are not amenable. Zumpuses are tumpuses. Every tumpus is hot. Tumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nWumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Bitter($x, True)\nrule2: Numpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Feisty($x, True)\nrule4: Wumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Small($x, False)\nrule6: Impus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Orange($x, False)\nrule8: Dumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Opaque($x, True)\nrule10: Rompus($x, True) → Orange($x, True)\nrule11: Yumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Luminous($x, False)\nrule13: Jompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Amenable($x, False)\nrule15: Zumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Hot($x, True)\nrule17: Tumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Small($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Orange($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Orange('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Luminous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Amenable($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nDumpus('Sam', True)\nYumpus('Sam', True)\nJompus('Sam', True)\nZumpus('Sam', True)\nTumpus('Sam', True)\nFeisty('Sam', True)\nSmall('Sam', False)\nOrange('Sam', False)\nOpaque('Sam', True)\nLuminous('Sam', False)\nAmenable('Sam', False)\nHot('Sam', True)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Sam', False)\nAccording to the implied fact: Feisty('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-351_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Every wumpus is not bright. Each vumpus is not small. Each vumpus is a rompus. Every rompus is bright. Rompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Bright($x, False)\nrule2: Vumpus($x, True) → Small($x, False)\nrule3: Vumpus($x, True) → Rompus($x, True)\nrule4: Rompus($x, True) → Bright($x, True)\nrule5: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Vumpus($x, True) → Small($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nSmall('Alex', False)\nBright('Alex', True)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Alex', True)\nAccording to the implied fact: Numpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-316_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a wumpus. Each jompus is aggressive. Each jompus is a yumpus. Each vumpus is red. Yumpuses are shy. Yumpuses are impuses. Every impus is cold. Impuses are wumpuses. Every wumpus is dull. Wumpuses are rompuses. Every rompus is not red. Rompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Aggressive($x, True)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Vumpus($x, True) → Red($x, True)\nrule4: Yumpus($x, True) → Shy($x, True)\nrule5: Yumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Cold($x, True)\nrule7: Impus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Dull($x, True)\nrule9: Wumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Red($x, False)\nrule11: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Red($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nRompus('Sam', True)\nDull('Sam', True)\nRed('Sam', False)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Sam', True)\nAccording to the known fact: Wumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-466_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Yumpuses are wooden. Yumpuses are tumpuses. Wumpuses are not dull. Every tumpus is opaque. Each tumpus is a rompus. Each rompus is bitter. Every rompus is a numpus. Each numpus is large. Numpuses are vumpuses. Every vumpus is dull. Vumpuses are jompuses. Every jompus is not red. Each jompus is an impus. Impuses are temperate. Each impus is a dumpus. Dumpuses are floral. Every dumpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRed($x, bool) ::: Is x red?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Wooden($x, True)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Wumpus($x, True) → Dull($x, False)\nrule4: Tumpus($x, True) → Opaque($x, True)\nrule5: Tumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Bitter($x, True)\nrule7: Rompus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Large($x, True)\nrule9: Numpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Dull($x, True)\nrule11: Vumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Red($x, False)\nrule13: Jompus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Temperate($x, True)\nrule15: Impus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Floral($x, True)\nrule17: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Wooden($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Bitter($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bitter('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Red($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Temperate($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Floral($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Floral('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nRompus('Sam', True)\nNumpus('Sam', True)\nVumpus('Sam', True)\nJompus('Sam', True)\nImpus('Sam', True)\nDumpus('Sam', True)\nWooden('Sam', True)\nOpaque('Sam', True)\nBitter('Sam', True)\nLarge('Sam', True)\nDull('Sam', True)\nRed('Sam', False)\nTemperate('Sam', True)\nFloral('Sam', True)\nZumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sam', True)\nAccording to the implied fact: Tumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-474_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Wumpuses are not wooden. Each wumpus is a jompus. Each jompus is kind. Jompuses are yumpuses. Every yumpus is bright. Each vumpus is transparent. Every yumpus is a numpus. Each numpus is not transparent. Numpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Wooden($x, False)\nrule2: Wumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Kind($x, True)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Bright($x, True)\nrule6: Vumpus($x, True) → Transparent($x, True)\nrule7: Yumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Transparent($x, False)\nrule9: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Transparent($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nYumpus('Max', True)\nNumpus('Max', True)\nWooden('Max', False)\nKind('Max', True)\nBright('Max', True)\nTransparent('Max', False)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Max', False)\nAccording to the implied fact: Numpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-357_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Each vumpus is not earthy. Vumpuses are wumpuses. Each wumpus is dull. Each wumpus is a rompus. Every rompus is hot. Rompuses are jompuses. Jompuses are brown. Jompuses are yumpuses. Each yumpus is happy. Numpuses are not brown. Each yumpus is a dumpus. Each dumpus is amenable. Dumpuses are impuses. Impuses are small. Every impus is a zumpus. Every zumpus is not transparent. Zumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Earthy($x, False)\nrule2: Vumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Dull($x, True)\nrule4: Wumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Hot($x, True)\nrule6: Rompus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Brown($x, True)\nrule8: Jompus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Happy($x, True)\nrule10: Numpus($x, True) → Brown($x, False)\nrule11: Yumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Amenable($x, True)\nrule13: Dumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Small($x, True)\nrule15: Impus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Transparent($x, False)\nrule17: Zumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Happy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Amenable($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nYumpus('Alex', True)\nDumpus('Alex', True)\nImpus('Alex', True)\nZumpus('Alex', True)\nHot('Alex', True)\nBrown('Alex', True)\nHappy('Alex', True)\nAmenable('Alex', True)\nSmall('Alex', True)\nTransparent('Alex', False)\nTumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Alex', True)\nAccording to the implied fact: Small('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-170_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Every dumpus is dull. Every dumpus is a jompus. Each jompus is small. Jompuses are impuses. Every impus is floral. Every impus is a vumpus. Each vumpus is not sweet. Every vumpus is a yumpus. Each yumpus is luminous. Yumpuses are zumpuses. Each zumpus is not shy. Zumpuses are wumpuses. Every wumpus is aggressive. Each wumpus is a rompus. Numpuses are not temperate. Rompuses are temperate. Each rompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Dull($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Small($x, True)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Floral($x, True)\nrule6: Impus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Sweet($x, False)\nrule8: Vumpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Luminous($x, True)\nrule10: Yumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Shy($x, False)\nrule12: Zumpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Aggressive($x, True)\nrule14: Wumpus($x, True) → Rompus($x, True)\nrule15: Numpus($x, True) → Temperate($x, False)\nrule16: Rompus($x, True) → Temperate($x, True)\nrule17: Rompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Zumpus($x, True) → Shy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Aggressive($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Rompus($x, True) → Temperate($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Max', True)\nRompus('Max', True)\nShy('Max', False)\nAggressive('Max', True)\nTemperate('Max', True)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Max', True)\nAccording to the implied fact: Temperate('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-467_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Impuses are metallic. Impuses are numpuses. Every numpus is not blue. Each numpus is a jompus. Jompuses are small. Each jompus is a wumpus. Wumpuses are amenable. Wumpuses are vumpuses. Vumpuses are hot. Each vumpus is a rompus. Rompuses are transparent. Every rompus is a yumpus. Yumpuses are not nervous. Yumpuses are dumpuses. Dumpuses are bright. Tumpuses are nervous. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nMetallic($x, bool) ::: Is x metallic?\nBlue($x, bool) ::: Is x blue?\nSmall($x, bool) ::: Is x small?\nAmenable($x, bool) ::: Is x amenable?\nHot($x, bool) ::: Is x hot?\nNervous($x, bool) ::: Is x nervous?\nBright($x, bool) ::: Is x bright?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Metallic($x, True)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Blue($x, False)\nrule4: Numpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Small($x, True)\nrule6: Jompus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Amenable($x, True)\nrule8: Wumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Hot($x, True)\nrule10: Vumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Transparent($x, True)\nrule12: Rompus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Nervous($x, False)\nrule14: Yumpus($x, True) → Dumpus($x, True)\nrule15: Dumpus($x, True) → Bright($x, True)\nrule16: Tumpus($x, True) → Nervous($x, True)\nrule17: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Wumpus($x, True) → Amenable($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Nervous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Alex', True)\nRompus('Alex', True)\nYumpus('Alex', True)\nDumpus('Alex', True)\nAmenable('Alex', True)\nHot('Alex', True)\nTransparent('Alex', True)\nNervous('Alex', False)\nBright('Alex', True)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Alex', True)\nAccording to the implied fact: Nervous('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-355_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Dumpuses are earthy. Dumpuses are numpuses. Numpuses are cold. Each numpus is a yumpus. Yumpuses are small. Each yumpus is a wumpus. Wumpuses are not nervous. Wumpuses are impuses. Impuses are metallic. Each impus is a jompus. Each jompus is not transparent. Jompuses are rompuses. Rompuses are bright. Tumpuses are not bitter. Every rompus is a vumpus. Every vumpus is bitter. Vumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBitter($x, bool) ::: Is x bitter?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Earthy($x, True)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Cold($x, True)\nrule4: Numpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Small($x, True)\nrule6: Yumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Nervous($x, False)\nrule8: Wumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Metallic($x, True)\nrule10: Impus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Transparent($x, False)\nrule12: Jompus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Bright($x, True)\nrule14: Tumpus($x, True) → Bitter($x, False)\nrule15: Rompus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Bitter($x, True)\nrule17: Vumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Wumpus($x, True) → Nervous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Transparent($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nJompus('Rex', True)\nRompus('Rex', True)\nVumpus('Rex', True)\nNervous('Rex', False)\nMetallic('Rex', True)\nTransparent('Rex', False)\nBright('Rex', True)\nBitter('Rex', True)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', False)\nAccording to the implied fact: Zumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-385_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a dumpus. Dumpuses are spicy. Dumpuses are numpuses. Numpuses are kind. Every numpus is a yumpus. Yumpuses are fruity. Every yumpus is a wumpus. Wumpuses are not opaque. Every wumpus is a tumpus. Each tumpus is cold. Tumpuses are jompuses. Jompuses are shy. Every jompus is a rompus. Each rompus is small. Each rompus is an impus. Each zumpus is opaque. Impuses are not dull. Each impus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nDumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Spicy($x, True)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Kind($x, True)\nrule4: Numpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Fruity($x, True)\nrule6: Yumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Opaque($x, False)\nrule8: Wumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Cold($x, True)\nrule10: Tumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Shy($x, True)\nrule12: Jompus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Small($x, True)\nrule14: Rompus($x, True) → Impus($x, True)\nrule15: Zumpus($x, True) → Opaque($x, True)\nrule16: Impus($x, True) → Dull($x, False)\nrule17: Impus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Shy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Shy('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Impus($x, True) → Dull($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nYumpus('Max', True)\nWumpus('Max', True)\nTumpus('Max', True)\nJompus('Max', True)\nRompus('Max', True)\nImpus('Max', True)\nSpicy('Max', True)\nKind('Max', True)\nFruity('Max', True)\nOpaque('Max', False)\nCold('Max', True)\nShy('Max', True)\nSmall('Max', True)\nDull('Max', False)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Max', False)\nAccording to the implied fact: Fruity('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-64_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Yumpuses are not bright. Yumpuses are zumpuses. Numpuses are feisty. Zumpuses are not hot. Each zumpus is a dumpus. Dumpuses are orange. Dumpuses are jompuses. Jompuses are transparent. Jompuses are vumpuses. Vumpuses are not mean. Vumpuses are wumpuses. Each wumpus is not feisty. Wumpuses are rompuses. Each rompus is earthy. Rompuses are tumpuses. Each tumpus is bitter. Every tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBright($x, bool) ::: Is x bright?\nFeisty($x, bool) ::: Is x feisty?\nHot($x, bool) ::: Is x hot?\nEarthy($x, bool) ::: Is x earthy?\nBitter($x, bool) ::: Is x bitter?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Bright($x, False)\nrule2: Yumpus($x, True) → Zumpus($x, True)\nrule3: Numpus($x, True) → Feisty($x, True)\nrule4: Zumpus($x, True) → Hot($x, False)\nrule5: Zumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Orange($x, True)\nrule7: Dumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Transparent($x, True)\nrule9: Jompus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Mean($x, False)\nrule11: Vumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Feisty($x, False)\nrule13: Wumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Earthy($x, True)\nrule15: Rompus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Bitter($x, True)\nrule17: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Zumpus($x, True) → Hot($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Orange('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Mean($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Feisty($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Bitter($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Wren', True)\nJompus('Wren', True)\nVumpus('Wren', True)\nWumpus('Wren', True)\nRompus('Wren', True)\nTumpus('Wren', True)\nHot('Wren', False)\nOrange('Wren', True)\nTransparent('Wren', True)\nMean('Wren', False)\nFeisty('Wren', False)\nEarthy('Wren', True)\nBitter('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Wren', False)\nAccording to the implied fact: Mean('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-79_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Wumpuses are small. Wumpuses are zumpuses. Yumpuses are luminous. Every zumpus is red. Zumpuses are numpuses. Numpuses are earthy. Numpuses are tumpuses. Each tumpus is not luminous. Each tumpus is a rompus. Rompuses are dull. Every rompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSmall($x, bool) ::: Is x small?\nLuminous($x, bool) ::: Is x luminous?\nRed($x, bool) ::: Is x red?\nEarthy($x, bool) ::: Is x earthy?\nDull($x, bool) ::: Is x dull?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Small($x, True)\nrule2: Wumpus($x, True) → Zumpus($x, True)\nrule3: Yumpus($x, True) → Luminous($x, True)\nrule4: Zumpus($x, True) → Red($x, True)\nrule5: Zumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Earthy($x, True)\nrule7: Numpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Luminous($x, False)\nrule9: Tumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Dull($x, True)\nrule11: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Zumpus($x, True) → Red($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Red('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Luminous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nNumpus('Alex', True)\nTumpus('Alex', True)\nRompus('Alex', True)\nSmall('Alex', True)\nRed('Alex', True)\nEarthy('Alex', True)\nLuminous('Alex', False)\nDull('Alex', True)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not a numpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Alex', False)\nAccording to the implied fact: Numpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-424_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Rompuses are not sour. Each rompus is a dumpus. Dumpuses are orange. Each dumpus is a yumpus. Yumpuses are shy. Yumpuses are wumpuses. Every wumpus is cold. Wumpuses are numpuses. Each numpus is angry. Numpuses are zumpuses. Every tumpus is transparent. Each zumpus is luminous. Each zumpus is an impus. Impuses are not fruity. Impuses are jompuses. Jompuses are not transparent. Each jompus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSour($x, bool) ::: Is x sour?\nAngry($x, bool) ::: Is x angry?\nLuminous($x, bool) ::: Is x luminous?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Sour($x, False)\nrule2: Rompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Orange($x, True)\nrule4: Dumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Shy($x, True)\nrule6: Yumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Cold($x, True)\nrule8: Wumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Angry($x, True)\nrule10: Numpus($x, True) → Zumpus($x, True)\nrule11: Tumpus($x, True) → Transparent($x, True)\nrule12: Zumpus($x, True) → Luminous($x, True)\nrule13: Zumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Fruity($x, False)\nrule15: Impus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Transparent($x, False)\nrule17: Jompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Zumpus($x, True) → Luminous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Fruity($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Transparent($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nJompus('Sally', True)\nLuminous('Sally', True)\nFruity('Sally', False)\nTransparent('Sally', False)\nVumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Sally', True)\nAccording to the implied fact: Fruity('Sally', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-473_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Yumpuses are amenable. Every yumpus is a rompus. Rompuses are blue. Every rompus is a numpus. Every numpus is small. Numpuses are impuses. Impuses are temperate. Impuses are dumpuses. Each dumpus is happy. Every dumpus is a vumpus. Vumpuses are sour. Each zumpus is not fruity. Each vumpus is a wumpus. Wumpuses are fruity. Each wumpus is a tumpus. Tumpuses are liquid. Every tumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Amenable($x, True)\nrule2: Yumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Blue($x, True)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Small($x, True)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Temperate($x, True)\nrule8: Impus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Happy($x, True)\nrule10: Dumpus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Sour($x, True)\nrule12: Zumpus($x, True) → Fruity($x, False)\nrule13: Vumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Fruity($x, True)\nrule15: Wumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Liquid($x, True)\nrule17: Tumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Happy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Happy('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Sour($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Liquid($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nDumpus('Rex', True)\nVumpus('Rex', True)\nWumpus('Rex', True)\nTumpus('Rex', True)\nSmall('Rex', True)\nTemperate('Rex', True)\nHappy('Rex', True)\nSour('Rex', True)\nFruity('Rex', True)\nLiquid('Rex', True)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Rex', False)\nAccording to the implied fact: Liquid('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-237_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Numpuses are not amenable. Each numpus is a zumpus. Zumpuses are liquid. Each zumpus is a yumpus. Every yumpus is fruity. Each yumpus is a dumpus. Dumpuses are opaque. Dumpuses are vumpuses. Every vumpus is not dull. Vumpuses are tumpuses. Each wumpus is dull. Each tumpus is happy. Tumpuses are impuses. Impuses are spicy. Each impus is a rompus. Rompuses are not cold. Each rompus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Amenable($x, False)\nrule2: Numpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Liquid($x, True)\nrule4: Zumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Fruity($x, True)\nrule6: Yumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Opaque($x, True)\nrule8: Dumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Dull($x, False)\nrule10: Vumpus($x, True) → Tumpus($x, True)\nrule11: Wumpus($x, True) → Dull($x, True)\nrule12: Tumpus($x, True) → Happy($x, True)\nrule13: Tumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Spicy($x, True)\nrule15: Impus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Cold($x, False)\nrule17: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Liquid('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Spicy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Cold($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nDumpus('Sam', True)\nVumpus('Sam', True)\nTumpus('Sam', True)\nImpus('Sam', True)\nRompus('Sam', True)\nLiquid('Sam', True)\nFruity('Sam', True)\nOpaque('Sam', True)\nDull('Sam', False)\nHappy('Sam', True)\nSpicy('Sam', True)\nCold('Sam', False)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', False)\nAccording to the implied fact: Rompus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-308_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Tumpuses are not opaque. Every yumpus is red. Tumpuses are vumpuses. Vumpuses are not hot. Vumpuses are rompuses. Rompuses are bright. Rompuses are wumpuses. Wumpuses are shy. Each wumpus is a dumpus. Each dumpus is not small. Dumpuses are numpuses. Numpuses are aggressive. Numpuses are zumpuses. Each zumpus is not earthy. Zumpuses are jompuses. Jompuses are not red. Every jompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nOpaque($x, bool) ::: Is x opaque?\nRed($x, bool) ::: Is x red?\nHot($x, bool) ::: Is x hot?\nBright($x, bool) ::: Is x bright?\nSmall($x, bool) ::: Is x small?\nAggressive($x, bool) ::: Is x aggressive?\nEarthy($x, bool) ::: Is x earthy?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Opaque($x, False)\nrule2: Yumpus($x, True) → Red($x, True)\nrule3: Tumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Hot($x, False)\nrule5: Vumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Bright($x, True)\nrule7: Rompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Shy($x, True)\nrule9: Wumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Small($x, False)\nrule11: Dumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Aggressive($x, True)\nrule13: Numpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Earthy($x, False)\nrule15: Zumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Red($x, False)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Wumpus($x, True) → Shy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Small($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Aggressive($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Earthy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Red($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Red('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nNumpus('Sally', True)\nZumpus('Sally', True)\nJompus('Sally', True)\nShy('Sally', True)\nSmall('Sally', False)\nAggressive('Sally', True)\nEarthy('Sally', False)\nRed('Sally', False)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not impulsive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sally', False)\nAccording to the implied fact: Impus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-465_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Every rompus is fruity. Rompuses are impuses. Impuses are blue. Every impus is a vumpus. Vumpuses are liquid. Vumpuses are numpuses. Each numpus is amenable. Each numpus is a yumpus. Yumpuses are large. Yumpuses are zumpuses. Every jompus is bright. Zumpuses are shy. Zumpuses are wumpuses. Wumpuses are not bright. Every wumpus is a tumpus. Tumpuses are transparent. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Fruity($x, True)\nrule2: Rompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Blue($x, True)\nrule4: Impus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Liquid($x, True)\nrule6: Vumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Amenable($x, True)\nrule8: Numpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Large($x, True)\nrule10: Yumpus($x, True) → Zumpus($x, True)\nrule11: Jompus($x, True) → Bright($x, True)\nrule12: Zumpus($x, True) → Shy($x, True)\nrule13: Zumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Bright($x, False)\nrule15: Wumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Transparent($x, True)\nrule17: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Numpus($x, True) → Amenable($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Amenable('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Zumpus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Bright($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Rex', True)\nZumpus('Rex', True)\nWumpus('Rex', True)\nTumpus('Rex', True)\nAmenable('Rex', True)\nLarge('Rex', True)\nShy('Rex', True)\nBright('Rex', False)\nTransparent('Rex', True)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is shy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nShy('Rex', True)\nAccording to the implied fact: Shy('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-286_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Every dumpus is not earthy. Every jompus is earthy. Jompuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Earthy($x, False)\nrule2: Jompus($x, True) → Earthy($x, True)\nrule3: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Jompus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nEarthy('Max', True)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Max', True)\nAccording to the known fact: Jompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-496_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a vumpus. Each vumpus is blue. Vumpuses are zumpuses. Each zumpus is not bright. Every zumpus is a dumpus. Every dumpus is sweet. Tumpuses are bright. Dumpuses are rompuses. Each rompus is not floral. Rompuses are numpuses. Numpuses are opaque. Every numpus is a jompus. Each jompus is kind. Jompuses are wumpuses. Every wumpus is hot. Wumpuses are yumpuses. Each yumpus is small. Yumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Blue($x, True)\nrule2: Vumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Bright($x, False)\nrule4: Zumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Sweet($x, True)\nrule6: Tumpus($x, True) → Bright($x, True)\nrule7: Dumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Floral($x, False)\nrule9: Rompus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Opaque($x, True)\nrule11: Numpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Kind($x, True)\nrule13: Jompus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Hot($x, True)\nrule15: Wumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Small($x, True)\nrule17: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Kind($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nDumpus('Stella', True)\nRompus('Stella', True)\nNumpus('Stella', True)\nJompus('Stella', True)\nWumpus('Stella', True)\nYumpus('Stella', True)\nBlue('Stella', True)\nBright('Stella', False)\nSweet('Stella', True)\nFloral('Stella', False)\nOpaque('Stella', True)\nKind('Stella', True)\nHot('Stella', True)\nSmall('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Stella', True)\nAccording to the implied fact: Rompus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-243_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Every zumpus is amenable. Tumpuses are not fruity. Every zumpus is a wumpus. Wumpuses are large. Wumpuses are dumpuses. Dumpuses are nervous. Dumpuses are yumpuses. Yumpuses are not liquid. Yumpuses are jompuses. Jompuses are fruity. Jompuses are impuses. Impuses are opaque. Each impus is a numpus. Every numpus is brown. Each numpus is a rompus. Rompuses are sour. Rompuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Amenable($x, True)\nrule2: Tumpus($x, True) → Fruity($x, False)\nrule3: Zumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Large($x, True)\nrule5: Wumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Nervous($x, True)\nrule7: Dumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Liquid($x, False)\nrule9: Yumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Fruity($x, True)\nrule11: Jompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Opaque($x, True)\nrule13: Impus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Brown($x, True)\nrule15: Numpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Sour($x, True)\nrule17: Rompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Liquid($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Liquid('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Sour($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nJompus('Wren', True)\nImpus('Wren', True)\nNumpus('Wren', True)\nRompus('Wren', True)\nNervous('Wren', True)\nLiquid('Wren', False)\nFruity('Wren', True)\nOpaque('Wren', True)\nBrown('Wren', True)\nSour('Wren', True)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Wren', False)\nAccording to the implied fact: Nervous('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-314_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Zumpuses are dull. Zumpuses are yumpuses. Yumpuses are not sweet. Every yumpus is a dumpus. Dumpuses are temperate. Each wumpus is not aggressive. Dumpuses are vumpuses. Every vumpus is fruity. Each vumpus is a numpus. Numpuses are aggressive. Each numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Dull($x, True)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Sweet($x, False)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Temperate($x, True)\nrule6: Wumpus($x, True) → Aggressive($x, False)\nrule7: Dumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Fruity($x, True)\nrule9: Vumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Aggressive($x, True)\nrule11: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nVumpus('Rex', True)\nNumpus('Rex', True)\nTemperate('Rex', True)\nFruity('Rex', True)\nAggressive('Rex', True)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAggressive('Rex', True)\nAccording to the implied fact: Aggressive('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-218_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Each vumpus is not red. Each vumpus is a zumpus. Zumpuses are not shy. Every zumpus is an impus. Impuses are dull. Each impus is a numpus. Numpuses are not metallic. Every numpus is a rompus. Each rompus is sweet. Every rompus is a wumpus. Every wumpus is small. Every wumpus is a yumpus. Every tumpus is not small. Each yumpus is hot. Every yumpus is a dumpus. Every dumpus is not transparent. Dumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRed($x, bool) ::: Is x red?\nMetallic($x, bool) ::: Is x metallic?\nSweet($x, bool) ::: Is x sweet?\nSmall($x, bool) ::: Is x small?\nHot($x, bool) ::: Is x hot?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Red($x, False)\nrule2: Vumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Shy($x, False)\nrule4: Zumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Dull($x, True)\nrule6: Impus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Metallic($x, False)\nrule8: Numpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Sweet($x, True)\nrule10: Rompus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Small($x, True)\nrule12: Wumpus($x, True) → Yumpus($x, True)\nrule13: Tumpus($x, True) → Small($x, False)\nrule14: Yumpus($x, True) → Hot($x, True)\nrule15: Yumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Transparent($x, False)\nrule17: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Shy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Metallic($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Transparent($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Stella', True)\nNumpus('Stella', True)\nRompus('Stella', True)\nWumpus('Stella', True)\nYumpus('Stella', True)\nDumpus('Stella', True)\nShy('Stella', False)\nDull('Stella', True)\nMetallic('Stella', False)\nSweet('Stella', True)\nSmall('Stella', True)\nHot('Stella', True)\nTransparent('Stella', False)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not Jompus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Stella', False)\nAccording to the implied fact: Jompus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-88_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Every numpus is angry. Dumpuses are not bright. Every numpus is a wumpus. Every wumpus is spicy. Wumpuses are rompuses. Every rompus is bright. Every rompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAngry($x, bool) ::: Is x angry?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Angry($x, True)\nrule2: Dumpus($x, True) → Bright($x, False)\nrule3: Numpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Spicy($x, True)\nrule5: Wumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Bright($x, True)\nrule7: Rompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Angry($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Angry('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nRompus('Alex', True)\nAngry('Alex', True)\nSpicy('Alex', True)\nBright('Alex', True)\nTumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Alex', True)\nAccording to the implied fact: Bright('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-218_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Every tumpus is not brown. Tumpuses are yumpuses. Each yumpus is transparent. Each yumpus is a vumpus. Every vumpus is not fruity. Vumpuses are impuses. Each impus is small. Impuses are numpuses. Every numpus is shy. Numpuses are wumpuses. Zumpuses are not shy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBrown($x, bool) ::: Is x brown?\nSmall($x, bool) ::: Is x small?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Brown($x, False)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Transparent($x, True)\nrule4: Yumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Fruity($x, False)\nrule6: Vumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Small($x, True)\nrule8: Impus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Shy($x, True)\nrule10: Numpus($x, True) → Wumpus($x, True)\nrule11: Zumpus($x, True) → Shy($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Brown($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Brown('Rex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Fruity($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nFinally, we obtain following implied facts:\nYumpus('Rex', True)\nVumpus('Rex', True)\nImpus('Rex', True)\nNumpus('Rex', True)\nBrown('Rex', False)\nTransparent('Rex', True)\nFruity('Rex', False)\nSmall('Rex', True)\nShy('Rex', True)\nWumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not a tumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Rex', False)\nAccording to the known fact: Tumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-367_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a dumpus. Dumpuses are not earthy. Dumpuses are yumpuses. Each yumpus is not bright. Each yumpus is a tumpus. Numpuses are wooden. Tumpuses are temperate. Tumpuses are rompuses. Every rompus is not wooden. Rompuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nEarthy($x, bool) ::: Is x earthy?\nBright($x, bool) ::: Is x bright?\nWooden($x, bool) ::: Is x wooden?\nTemperate($x, bool) ::: Is x temperate?\n\nWe have following known facts from the context:\nDumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Earthy($x, False)\nrule2: Dumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Bright($x, False)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Numpus($x, True) → Wooden($x, True)\nrule6: Tumpus($x, True) → Temperate($x, True)\nrule7: Tumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Wooden($x, False)\nrule9: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Earthy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Bright($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Wooden($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nTumpus('Sam', True)\nRompus('Sam', True)\nEarthy('Sam', False)\nBright('Sam', False)\nTemperate('Sam', True)\nWooden('Sam', False)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is rompus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sam', True)\nAccording to the implied fact: Rompus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-393_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a jompus. Rompuses are transparent. Each rompus is a jompus. Each jompus is metallic. Jompuses are numpuses. Each numpus is not small. Numpuses are wumpuses. Each wumpus is earthy. Wumpuses are dumpuses. Every dumpus is dull. Dumpuses are impuses. Each impus is cold. Every yumpus is not dull. Every impus is a zumpus. Zumpuses are aggressive. Every zumpus is a vumpus. Vumpuses are bitter. Each vumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Transparent($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Metallic($x, True)\nrule4: Jompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Small($x, False)\nrule6: Numpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Earthy($x, True)\nrule8: Wumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Dull($x, True)\nrule10: Dumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Cold($x, True)\nrule12: Yumpus($x, True) → Dull($x, False)\nrule13: Impus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Aggressive($x, True)\nrule15: Zumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Bitter($x, True)\nrule17: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Wren', True)\nWumpus('Wren', True)\nDumpus('Wren', True)\nImpus('Wren', True)\nZumpus('Wren', True)\nVumpus('Wren', True)\nMetallic('Wren', True)\nSmall('Wren', False)\nEarthy('Wren', True)\nDull('Wren', True)\nCold('Wren', True)\nAggressive('Wren', True)\nBitter('Wren', True)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Wren', False)\nAccording to the implied fact: Bitter('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-325_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Each impus is shy. Every impus is a vumpus. Vumpuses are not small. Every vumpus is a tumpus. Tumpuses are angry. Every tumpus is a jompus. Jompuses are not hot. Each jompus is a yumpus. Every yumpus is bitter. Each wumpus is not brown. Yumpuses are dumpuses. Each dumpus is bright. Every dumpus is a numpus. Each numpus is brown. Each numpus is a zumpus. Zumpuses are transparent. Zumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nShy($x, bool) ::: Is x shy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Shy($x, True)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Small($x, False)\nrule4: Vumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Angry($x, True)\nrule6: Tumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Hot($x, False)\nrule8: Jompus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Bitter($x, True)\nrule10: Wumpus($x, True) → Brown($x, False)\nrule11: Yumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Bright($x, True)\nrule13: Dumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Brown($x, True)\nrule15: Numpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Transparent($x, True)\nrule17: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Numpus($x, True) → Brown($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Sally', True)\nBrown('Sally', True)\nTransparent('Sally', True)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Sally', False)\nAccording to the implied fact: Rompus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-393_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a tumpus. Zumpuses are transparent. Zumpuses are rompuses. Rompuses are large. Each rompus is a jompus. Jompuses are not bright. Numpuses are orange. Every jompus is an impus. Each impus is not nervous. Each impus is a vumpus. Each vumpus is not kind. Vumpuses are tumpuses. Tumpuses are hot. Tumpuses are yumpuses. Yumpuses are not orange. Yumpuses are wumpuses. Wumpuses are not earthy. Wumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTransparent($x, bool) ::: Is x transparent?\nLarge($x, bool) ::: Is x large?\nBright($x, bool) ::: Is x bright?\nNervous($x, bool) ::: Is x nervous?\nKind($x, bool) ::: Is x kind?\nHot($x, bool) ::: Is x hot?\nEarthy($x, bool) ::: Is x earthy?\n\nWe have following known facts from the context:\nTumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, True)\nrule2: Zumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Large($x, True)\nrule4: Rompus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Bright($x, False)\nrule6: Numpus($x, True) → Orange($x, True)\nrule7: Jompus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Nervous($x, False)\nrule9: Impus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Kind($x, False)\nrule11: Vumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Hot($x, True)\nrule13: Tumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Orange($x, False)\nrule15: Yumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Earthy($x, False)\nrule17: Wumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Orange($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Orange('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Earthy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nWumpus('Stella', True)\nHot('Stella', True)\nOrange('Stella', False)\nEarthy('Stella', False)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Stella', False)\nAccording to the implied fact: Orange('Stella', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-424_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Rompuses are temperate. Rompuses are vumpuses. Vumpuses are not brown. Dumpuses are not shy. Every vumpus is a jompus. Jompuses are large. Jompuses are yumpuses. Yumpuses are not sour. Every yumpus is a tumpus. Tumpuses are not liquid. Each tumpus is an impus. Each impus is not kind. Impuses are numpuses. Every numpus is shy. Each numpus is a zumpus. Zumpuses are floral. Each zumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTemperate($x, bool) ::: Is x temperate?\nBrown($x, bool) ::: Is x brown?\nLarge($x, bool) ::: Is x large?\nSour($x, bool) ::: Is x sour?\nKind($x, bool) ::: Is x kind?\nFloral($x, bool) ::: Is x floral?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Temperate($x, True)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Brown($x, False)\nrule4: Dumpus($x, True) → Shy($x, False)\nrule5: Vumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Large($x, True)\nrule7: Jompus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Sour($x, False)\nrule9: Yumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Liquid($x, False)\nrule11: Tumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Kind($x, False)\nrule13: Impus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Shy($x, True)\nrule15: Numpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Floral($x, True)\nrule17: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Tumpus($x, True) → Liquid($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Kind($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Shy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nNumpus('Rex', True)\nZumpus('Rex', True)\nLiquid('Rex', False)\nKind('Rex', False)\nShy('Rex', True)\nFloral('Rex', True)\nWumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Rex', True)\nAccording to the known fact: Tumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-111_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Each impus is cold. Every impus is a jompus. Jompuses are not aggressive. Jompuses are zumpuses. Every zumpus is transparent. Each zumpus is a yumpus. Yumpuses are bright. Yumpuses are dumpuses. Dumpuses are large. Dumpuses are rompuses. Rompuses are sour. Numpuses are aggressive. Each rompus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSour($x, bool) ::: Is x sour?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Cold($x, True)\nrule2: Impus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Aggressive($x, False)\nrule4: Jompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Transparent($x, True)\nrule6: Zumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Bright($x, True)\nrule8: Yumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Large($x, True)\nrule10: Dumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Sour($x, True)\nrule12: Numpus($x, True) → Aggressive($x, True)\nrule13: Rompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Aggressive($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Sour($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sour('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nYumpus('Rex', True)\nDumpus('Rex', True)\nRompus('Rex', True)\nAggressive('Rex', False)\nTransparent('Rex', True)\nBright('Rex', True)\nLarge('Rex', True)\nSour('Rex', True)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Rex', False)\nAccording to the implied fact: Large('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-229_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Jompuses are metallic. Every jompus is a wumpus. Wumpuses are not earthy. Wumpuses are numpuses. Each numpus is sour. Numpuses are impuses. Impuses are not nervous. Each impus is a rompus. Each rompus is angry. Rompuses are tumpuses. Every tumpus is red. Each zumpus is nervous. Every tumpus is a vumpus. Every vumpus is hot. Vumpuses are yumpuses. Every yumpus is not small. Yumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Metallic($x, True)\nrule2: Jompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Earthy($x, False)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Sour($x, True)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Nervous($x, False)\nrule8: Impus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Angry($x, True)\nrule10: Rompus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Red($x, True)\nrule12: Zumpus($x, True) → Nervous($x, True)\nrule13: Tumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Hot($x, True)\nrule15: Vumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Small($x, False)\nrule17: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Earthy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Sour($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Nervous($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Angry($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Angry('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Red($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Red('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Max', True)\nImpus('Max', True)\nRompus('Max', True)\nTumpus('Max', True)\nVumpus('Max', True)\nYumpus('Max', True)\nEarthy('Max', False)\nSour('Max', True)\nNervous('Max', False)\nAngry('Max', True)\nRed('Max', True)\nHot('Max', True)\nSmall('Max', False)\nDumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Max', False)\nAccording to the implied fact: Tumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-487_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a zumpus. Jompuses are not kind. Jompuses are zumpuses. Every zumpus is cold. Zumpuses are tumpuses. Tumpuses are brown. Every tumpus is a yumpus. Yumpuses are liquid. Yumpuses are impuses. Each rompus is not shy. Each impus is small. Impuses are wumpuses. Each wumpus is shy. Wumpuses are vumpuses. Vumpuses are earthy. Each vumpus is a numpus. Numpuses are opaque. Numpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nKind($x, bool) ::: Is x kind?\nBrown($x, bool) ::: Is x brown?\nSmall($x, bool) ::: Is x small?\nEarthy($x, bool) ::: Is x earthy?\nOpaque($x, bool) ::: Is x opaque?\n\nWe have following known facts from the context:\nZumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Kind($x, False)\nrule2: Jompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Cold($x, True)\nrule4: Zumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Brown($x, True)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Liquid($x, True)\nrule8: Yumpus($x, True) → Impus($x, True)\nrule9: Rompus($x, True) → Shy($x, False)\nrule10: Impus($x, True) → Small($x, True)\nrule11: Impus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Shy($x, True)\nrule13: Wumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Earthy($x, True)\nrule15: Vumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Opaque($x, True)\nrule17: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Brown($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Impus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Polly', True)\nYumpus('Polly', True)\nImpus('Polly', True)\nWumpus('Polly', True)\nVumpus('Polly', True)\nNumpus('Polly', True)\nCold('Polly', True)\nBrown('Polly', True)\nLiquid('Polly', True)\nSmall('Polly', True)\nShy('Polly', True)\nEarthy('Polly', True)\nOpaque('Polly', True)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Polly', True)\nAccording to the implied fact: Brown('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-299_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Yumpuses are not temperate. Every dumpus is not wooden. Dumpuses are zumpuses. Zumpuses are small. Zumpuses are rompuses. Rompuses are not aggressive. Every rompus is a vumpus. Every vumpus is earthy. Vumpuses are numpuses. Each numpus is temperate. Every numpus is a wumpus. Every wumpus is not shy. Each wumpus is a tumpus. Tumpuses are not blue. Every tumpus is an impus. Impuses are bitter. Each impus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTemperate($x, bool) ::: Is x temperate?\nWooden($x, bool) ::: Is x wooden?\nSmall($x, bool) ::: Is x small?\nAggressive($x, bool) ::: Is x aggressive?\nEarthy($x, bool) ::: Is x earthy?\nBlue($x, bool) ::: Is x blue?\nBitter($x, bool) ::: Is x bitter?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Temperate($x, False)\nrule2: Dumpus($x, True) → Wooden($x, False)\nrule3: Dumpus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Small($x, True)\nrule5: Zumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Aggressive($x, False)\nrule7: Rompus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Earthy($x, True)\nrule9: Vumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Temperate($x, True)\nrule11: Numpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Shy($x, False)\nrule13: Wumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Blue($x, False)\nrule15: Tumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Bitter($x, True)\nrule17: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Zumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Aggressive($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Aggressive('Stella', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Shy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Blue($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Bitter($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bitter('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Stella', True)\nVumpus('Stella', True)\nNumpus('Stella', True)\nWumpus('Stella', True)\nTumpus('Stella', True)\nImpus('Stella', True)\nSmall('Stella', True)\nAggressive('Stella', False)\nEarthy('Stella', True)\nTemperate('Stella', True)\nShy('Stella', False)\nBlue('Stella', False)\nBitter('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not rompus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Stella', False)\nAccording to the implied fact: Rompus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-331_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Numpuses are bright. Each numpus is a zumpus. Zumpuses are large. Zumpuses are vumpuses. Vumpuses are not orange. Every vumpus is a wumpus. Each wumpus is not wooden. Every wumpus is a rompus. Rompuses are not amenable. Rompuses are yumpuses. Every yumpus is transparent. Every yumpus is a tumpus. Tumpuses are cold. Every tumpus is a jompus. Jompuses are nervous. Every dumpus is wooden. Jompuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Bright($x, True)\nrule2: Numpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Large($x, True)\nrule4: Zumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Orange($x, False)\nrule6: Vumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Wooden($x, False)\nrule8: Wumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Amenable($x, False)\nrule10: Rompus($x, True) → Yumpus($x, True)\nrule11: Yumpus($x, True) → Transparent($x, True)\nrule12: Yumpus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Cold($x, True)\nrule14: Tumpus($x, True) → Jompus($x, True)\nrule15: Jompus($x, True) → Nervous($x, True)\nrule16: Dumpus($x, True) → Wooden($x, True)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Orange($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Orange('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Wooden('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Amenable($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Amenable('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nVumpus('Rex', True)\nWumpus('Rex', True)\nRompus('Rex', True)\nYumpus('Rex', True)\nTumpus('Rex', True)\nJompus('Rex', True)\nBright('Rex', True)\nLarge('Rex', True)\nOrange('Rex', False)\nWooden('Rex', False)\nAmenable('Rex', False)\nTransparent('Rex', True)\nCold('Rex', True)\nNervous('Rex', True)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Rex', True)\nAccording to the known fact: Numpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-247_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Each vumpus is not angry. Numpuses are not metallic. Each vumpus is a wumpus. Wumpuses are not dull. Wumpuses are rompuses. Every rompus is not opaque. Each rompus is a dumpus. Dumpuses are orange. Every dumpus is a tumpus. Every tumpus is happy. Tumpuses are yumpuses. Yumpuses are metallic. Each yumpus is an impus. Each impus is cold. Impuses are zumpuses. Zumpuses are not floral. Zumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Angry($x, False)\nrule2: Numpus($x, True) → Metallic($x, False)\nrule3: Vumpus($x, True) → Wumpus($x, True)\nrule4: Wumpus($x, True) → Dull($x, False)\nrule5: Wumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Opaque($x, False)\nrule7: Rompus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Orange($x, True)\nrule9: Dumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Happy($x, True)\nrule11: Tumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Metallic($x, True)\nrule13: Yumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Cold($x, True)\nrule15: Impus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Floral($x, False)\nrule17: Zumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Metallic('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Floral($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nDumpus('Max', True)\nTumpus('Max', True)\nYumpus('Max', True)\nImpus('Max', True)\nZumpus('Max', True)\nDull('Max', False)\nOpaque('Max', False)\nOrange('Max', True)\nHappy('Max', True)\nMetallic('Max', True)\nCold('Max', True)\nFloral('Max', False)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Max', False)\nAccording to the implied fact: Zumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-59_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a numpus. Every numpus is liquid. Wumpuses are feisty. Every numpus is a dumpus. Every dumpus is not feisty. Each dumpus is an impus. Impuses are opaque. Each impus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nNumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Liquid($x, True)\nrule2: Wumpus($x, True) → Feisty($x, True)\nrule3: Numpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Feisty($x, False)\nrule5: Dumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Opaque($x, True)\nrule7: Impus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Liquid('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Feisty($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nImpus('Sam', True)\nLiquid('Sam', True)\nFeisty('Sam', False)\nOpaque('Sam', True)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Sam', True)\nAccording to the implied fact: Impus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-262_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a tumpus. Every tumpus is earthy. Tumpuses are vumpuses. Each vumpus is metallic. Vumpuses are rompuses. Rompuses are not opaque. Rompuses are numpuses. Numpuses are not feisty. Numpuses are dumpuses. Dumpuses are dull. Each dumpus is a jompus. Each jompus is temperate. Every wumpus is not dull. Jompuses are yumpuses. Every yumpus is not spicy. Yumpuses are zumpuses. Zumpuses are angry. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAngry($x, bool) ::: Is x angry?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Earthy($x, True)\nrule2: Tumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Metallic($x, True)\nrule4: Vumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Opaque($x, False)\nrule6: Rompus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Feisty($x, False)\nrule8: Numpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Dull($x, True)\nrule10: Dumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Temperate($x, True)\nrule12: Wumpus($x, True) → Dull($x, False)\nrule13: Jompus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Spicy($x, False)\nrule15: Yumpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Angry($x, True)\nrule17: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Metallic($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Metallic('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Feisty($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Spicy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Spicy('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Fae', True)\nRompus('Fae', True)\nNumpus('Fae', True)\nDumpus('Fae', True)\nJompus('Fae', True)\nYumpus('Fae', True)\nZumpus('Fae', True)\nEarthy('Fae', True)\nMetallic('Fae', True)\nOpaque('Fae', False)\nFeisty('Fae', False)\nDull('Fae', True)\nTemperate('Fae', True)\nSpicy('Fae', False)\nAngry('Fae', True)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', True)\nAccording to the known fact: Tumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-406_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Each tumpus is large. Tumpuses are yumpuses. Yumpuses are cold. Every yumpus is a zumpus. Zumpuses are not aggressive. Zumpuses are numpuses. Numpuses are not opaque. Dumpuses are aggressive. Each numpus is a vumpus. Every vumpus is red. Vumpuses are impuses. Impuses are metallic. Impuses are jompuses. Jompuses are floral. Every jompus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nImpus($x, bool) ::: Does x belong to Impuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Large($x, True)\nrule2: Tumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Cold($x, True)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Aggressive($x, False)\nrule6: Zumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Opaque($x, False)\nrule8: Dumpus($x, True) → Aggressive($x, True)\nrule9: Numpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Red($x, True)\nrule11: Vumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Metallic($x, True)\nrule13: Impus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Floral($x, True)\nrule15: Jompus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Aggressive($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Red($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nYumpus('Rex', True)\nZumpus('Rex', True)\nNumpus('Rex', True)\nVumpus('Rex', True)\nImpus('Rex', True)\nJompus('Rex', True)\nLarge('Rex', True)\nCold('Rex', True)\nAggressive('Rex', False)\nOpaque('Rex', False)\nRed('Rex', True)\nMetallic('Rex', True)\nFloral('Rex', True)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAggressive('Rex', False)\nAccording to the implied fact: Aggressive('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-182_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Every numpus is not kind. Numpuses are rompuses. Each rompus is blue. Rompuses are impuses. Every vumpus is not shy. Impuses are hot. Impuses are zumpuses. Every zumpus is dull. Zumpuses are yumpuses. Each yumpus is large. Each yumpus is a wumpus. Every wumpus is earthy. Wumpuses are tumpuses. Tumpuses are shy. Each tumpus is a dumpus. Each dumpus is luminous. Each dumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nKind($x, bool) ::: Is x kind?\nBlue($x, bool) ::: Is x blue?\nHot($x, bool) ::: Is x hot?\nLarge($x, bool) ::: Is x large?\nEarthy($x, bool) ::: Is x earthy?\nLuminous($x, bool) ::: Is x luminous?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Kind($x, False)\nrule2: Numpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Blue($x, True)\nrule4: Rompus($x, True) → Impus($x, True)\nrule5: Vumpus($x, True) → Shy($x, False)\nrule6: Impus($x, True) → Hot($x, True)\nrule7: Impus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Dull($x, True)\nrule9: Zumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Large($x, True)\nrule11: Yumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Earthy($x, True)\nrule13: Wumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Shy($x, True)\nrule15: Tumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Luminous($x, True)\nrule17: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Zumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Shy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Shy('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sam', True)\nWumpus('Sam', True)\nTumpus('Sam', True)\nDumpus('Sam', True)\nDull('Sam', True)\nLarge('Sam', True)\nEarthy('Sam', True)\nShy('Sam', True)\nLuminous('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Sam', False)\nAccording to the implied fact: Luminous('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-446_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Every numpus is not small. Each numpus is a rompus. Rompuses are temperate. Rompuses are jompuses. Each jompus is not bitter. Each jompus is a vumpus. Every vumpus is orange. Tumpuses are bitter. Vumpuses are wumpuses. Wumpuses are metallic. Wumpuses are yumpuses. Yumpuses are not opaque. Yumpuses are impuses. Impuses are not feisty. Impuses are dumpuses. Every dumpus is not floral. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSmall($x, bool) ::: Is x small?\nTemperate($x, bool) ::: Is x temperate?\nBitter($x, bool) ::: Is x bitter?\nMetallic($x, bool) ::: Is x metallic?\nOpaque($x, bool) ::: Is x opaque?\nFeisty($x, bool) ::: Is x feisty?\nFloral($x, bool) ::: Is x floral?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Small($x, False)\nrule2: Numpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Temperate($x, True)\nrule4: Rompus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Bitter($x, False)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Orange($x, True)\nrule8: Tumpus($x, True) → Bitter($x, True)\nrule9: Vumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Metallic($x, True)\nrule11: Wumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Opaque($x, False)\nrule13: Yumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Feisty($x, False)\nrule15: Impus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Floral($x, False)\nrule17: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Orange($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Metallic($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Opaque($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Feisty($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nVumpus('Alex', True)\nWumpus('Alex', True)\nYumpus('Alex', True)\nImpus('Alex', True)\nDumpus('Alex', True)\nTemperate('Alex', True)\nBitter('Alex', False)\nOrange('Alex', True)\nMetallic('Alex', True)\nOpaque('Alex', False)\nFeisty('Alex', False)\nFloral('Alex', False)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not vumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Alex', False)\nAccording to the implied fact: Vumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-272_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Wumpuses are bitter. Each wumpus is a jompus. Jompuses are feisty. Jompuses are impuses. Impuses are red. Every impus is a rompus. Rompuses are not kind. Rompuses are tumpuses. Each tumpus is bright. Every tumpus is a zumpus. Every zumpus is hot. Each zumpus is a yumpus. Yumpuses are large. Every vumpus is wooden. Yumpuses are numpuses. Numpuses are not wooden. Each numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Bitter($x, True)\nrule2: Wumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Feisty($x, True)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Red($x, True)\nrule6: Impus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Kind($x, False)\nrule8: Rompus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Bright($x, True)\nrule10: Tumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Hot($x, True)\nrule12: Zumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Large($x, True)\nrule14: Vumpus($x, True) → Wooden($x, True)\nrule15: Yumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Wooden($x, False)\nrule17: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Bright('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Wooden($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nYumpus('Sam', True)\nNumpus('Sam', True)\nBright('Sam', True)\nHot('Sam', True)\nLarge('Sam', True)\nWooden('Sam', False)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Sam', True)\nAccording to the implied fact: Bright('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-387_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Each yumpus is not temperate. Each yumpus is a tumpus. Tumpuses are opaque. Tumpuses are dumpuses. Dumpuses are sour. Every dumpus is a zumpus. Zumpuses are aggressive. Every zumpus is an impus. Each impus is small. Impuses are jompuses. Each rompus is liquid. Every jompus is not dull. Every jompus is a vumpus. Each vumpus is not happy. Vumpuses are wumpuses. Wumpuses are not liquid. Wumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTemperate($x, bool) ::: Is x temperate?\nOpaque($x, bool) ::: Is x opaque?\nSour($x, bool) ::: Is x sour?\nAggressive($x, bool) ::: Is x aggressive?\nSmall($x, bool) ::: Is x small?\nHappy($x, bool) ::: Is x happy?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Temperate($x, False)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Opaque($x, True)\nrule4: Tumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Sour($x, True)\nrule6: Dumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Aggressive($x, True)\nrule8: Zumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Small($x, True)\nrule10: Impus($x, True) → Jompus($x, True)\nrule11: Rompus($x, True) → Liquid($x, True)\nrule12: Jompus($x, True) → Dull($x, False)\nrule13: Jompus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Happy($x, False)\nrule15: Vumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Liquid($x, False)\nrule17: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Zumpus($x, True) → Aggressive($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Jompus($x, True) → Dull($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Happy($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Happy('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Liquid($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Fae', True)\nJompus('Fae', True)\nVumpus('Fae', True)\nWumpus('Fae', True)\nAggressive('Fae', True)\nSmall('Fae', True)\nDull('Fae', False)\nHappy('Fae', False)\nLiquid('Fae', False)\nNumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Fae', True)\nAccording to the implied fact: Liquid('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-477_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Every yumpus is sweet. Yumpuses are impuses. Impuses are blue. Every impus is a zumpus. Each wumpus is not sweet. Zumpuses are not transparent. Zumpuses are rompuses. Each rompus is nervous. Rompuses are tumpuses. Each tumpus is not angry. Each tumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Sweet($x, True)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Blue($x, True)\nrule4: Impus($x, True) → Zumpus($x, True)\nrule5: Wumpus($x, True) → Sweet($x, False)\nrule6: Zumpus($x, True) → Transparent($x, False)\nrule7: Zumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Nervous($x, True)\nrule9: Rompus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Angry($x, False)\nrule11: Tumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Blue($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Blue('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Angry($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nZumpus('Wren', True)\nRompus('Wren', True)\nTumpus('Wren', True)\nSweet('Wren', True)\nBlue('Wren', True)\nTransparent('Wren', False)\nNervous('Wren', True)\nAngry('Wren', False)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Wren', True)\nAccording to the implied fact: Tumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-321_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Numpuses are opaque. Every dumpus is luminous. Each numpus is an impus. Every impus is fruity. Every impus is a zumpus. Zumpuses are aggressive. Every zumpus is a tumpus. Each tumpus is happy. Each tumpus is a wumpus. Wumpuses are not luminous. Wumpuses are yumpuses. Yumpuses are not spicy. Every yumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nOpaque($x, bool) ::: Is x opaque?\nLuminous($x, bool) ::: Is x luminous?\nAggressive($x, bool) ::: Is x aggressive?\nHappy($x, bool) ::: Is x happy?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Opaque($x, True)\nrule2: Dumpus($x, True) → Luminous($x, True)\nrule3: Numpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Fruity($x, True)\nrule5: Impus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Aggressive($x, True)\nrule7: Zumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Happy($x, True)\nrule9: Tumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Luminous($x, False)\nrule11: Wumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Spicy($x, False)\nrule13: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Aggressive('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Luminous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Spicy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Spicy('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nWumpus('Sam', True)\nYumpus('Sam', True)\nAggressive('Sam', True)\nHappy('Sam', True)\nLuminous('Sam', False)\nSpicy('Sam', False)\nRompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Sam', True)\nAccording to the implied fact: Luminous('Sam', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-283_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a dumpus. Numpuses are kind. Each numpus is a tumpus. Each tumpus is small. Vumpuses are dull. Every tumpus is a jompus. Every jompus is wooden. Every jompus is a dumpus. Dumpuses are orange. Every dumpus is a rompus. Rompuses are shy. Rompuses are impuses. Impuses are not dull. Every impus is a zumpus. Every zumpus is not sour. Zumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nDumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Kind($x, True)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Small($x, True)\nrule4: Vumpus($x, True) → Dull($x, True)\nrule5: Tumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Wooden($x, True)\nrule7: Jompus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Orange($x, True)\nrule9: Dumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Shy($x, True)\nrule11: Rompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Dull($x, False)\nrule13: Impus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Sour($x, False)\nrule15: Zumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Dumpus($x, True) → Orange($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Shy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Sour($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nImpus('Alex', True)\nZumpus('Alex', True)\nOrange('Alex', True)\nShy('Alex', True)\nDull('Alex', False)\nSour('Alex', False)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Alex', False)\nAccording to the implied fact: Yumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-318_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Rompuses are not angry. Each rompus is a vumpus. Each numpus is angry. Each vumpus is not happy. Each vumpus is a yumpus. Each yumpus is not spicy. Yumpuses are impuses. Each impus is transparent. Each impus is a jompus. Every jompus is not hot. Every jompus is a zumpus. Each zumpus is not brown. Each zumpus is a dumpus. Every dumpus is not luminous. Each dumpus is a tumpus. Tumpuses are dull. Every tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nAngry($x, bool) ::: Is x angry?\nHappy($x, bool) ::: Is x happy?\nSpicy($x, bool) ::: Is x spicy?\nHot($x, bool) ::: Is x hot?\nBrown($x, bool) ::: Is x brown?\nLuminous($x, bool) ::: Is x luminous?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Angry($x, False)\nrule2: Rompus($x, True) → Vumpus($x, True)\nrule3: Numpus($x, True) → Angry($x, True)\nrule4: Vumpus($x, True) → Happy($x, False)\nrule5: Vumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Spicy($x, False)\nrule7: Yumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Transparent($x, True)\nrule9: Impus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Hot($x, False)\nrule11: Jompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Brown($x, False)\nrule13: Zumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Luminous($x, False)\nrule15: Dumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Dull($x, True)\nrule17: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Angry($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Angry('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Vumpus($x, True) → Happy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Spicy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Hot($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Brown($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Luminous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Alex', True)\nYumpus('Alex', True)\nImpus('Alex', True)\nJompus('Alex', True)\nZumpus('Alex', True)\nDumpus('Alex', True)\nTumpus('Alex', True)\nAngry('Alex', False)\nHappy('Alex', False)\nSpicy('Alex', False)\nTransparent('Alex', True)\nHot('Alex', False)\nBrown('Alex', False)\nLuminous('Alex', False)\nDull('Alex', True)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not tumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', False)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-407_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Each jompus is bitter. Dumpuses are orange. Jompuses are zumpuses. Zumpuses are not orange. Every zumpus is an impus. Impuses are temperate. Every impus is a tumpus. Each tumpus is luminous. Tumpuses are vumpuses. Every vumpus is kind. Vumpuses are rompuses. Rompuses are large. Rompuses are yumpuses. Yumpuses are feisty. Every yumpus is a numpus. Every numpus is opaque. Numpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bitter($x, True)\nrule2: Dumpus($x, True) → Orange($x, True)\nrule3: Jompus($x, True) → Zumpus($x, True)\nrule4: Zumpus($x, True) → Orange($x, False)\nrule5: Zumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Temperate($x, True)\nrule7: Impus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Luminous($x, True)\nrule9: Tumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Kind($x, True)\nrule11: Vumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Large($x, True)\nrule13: Rompus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Feisty($x, True)\nrule15: Yumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Opaque($x, True)\nrule17: Numpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Bitter($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Orange($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Temperate($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Kind($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Feisty($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nImpus('Polly', True)\nTumpus('Polly', True)\nVumpus('Polly', True)\nRompus('Polly', True)\nYumpus('Polly', True)\nNumpus('Polly', True)\nBitter('Polly', True)\nOrange('Polly', False)\nTemperate('Polly', True)\nLuminous('Polly', True)\nKind('Polly', True)\nLarge('Polly', True)\nFeisty('Polly', True)\nOpaque('Polly', True)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Polly', True)\nAccording to the implied fact: Impus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-197_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Every rompus is kind. Each vumpus is not hot. Every rompus is an impus. Every impus is not bright. Impuses are tumpuses. Tumpuses are not opaque. Every tumpus is a yumpus. Each yumpus is brown. Yumpuses are dumpuses. Each dumpus is wooden. Each dumpus is a jompus. Jompuses are hot. Each jompus is a zumpus. Each zumpus is earthy. Each zumpus is a numpus. Each numpus is not large. Numpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Kind($x, True)\nrule2: Vumpus($x, True) → Hot($x, False)\nrule3: Rompus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Bright($x, False)\nrule5: Impus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Opaque($x, False)\nrule7: Tumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Brown($x, True)\nrule9: Yumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Wooden($x, True)\nrule11: Dumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Hot($x, True)\nrule13: Jompus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Earthy($x, True)\nrule15: Zumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Large($x, False)\nrule17: Numpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Impus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Brown($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Earthy('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Large($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Max', True)\nYumpus('Max', True)\nDumpus('Max', True)\nJompus('Max', True)\nZumpus('Max', True)\nNumpus('Max', True)\nBright('Max', False)\nOpaque('Max', False)\nBrown('Max', True)\nWooden('Max', True)\nHot('Max', True)\nEarthy('Max', True)\nLarge('Max', False)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Max', False)\nAccording to the implied fact: Yumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-490_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Rompuses are dull. Each rompus is a jompus. Each jompus is liquid. Every jompus is a yumpus. Every wumpus is not cold. Each yumpus is small. Yumpuses are zumpuses. Every zumpus is cold. Every zumpus is a numpus. Numpuses are mean. Every numpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMean($x, bool) ::: Is x mean?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Dull($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Liquid($x, True)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Wumpus($x, True) → Cold($x, False)\nrule6: Yumpus($x, True) → Small($x, True)\nrule7: Yumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Cold($x, True)\nrule9: Zumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Mean($x, True)\nrule11: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Yumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Mean($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Mean('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nZumpus('Sam', True)\nNumpus('Sam', True)\nSmall('Sam', True)\nCold('Sam', True)\nMean('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Sam', False)\nAccording to the implied fact: Mean('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-114_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Every jompus is cold. Jompuses are tumpuses. Every tumpus is fruity. Every tumpus is a vumpus. Each vumpus is not opaque. Each vumpus is a rompus. Each zumpus is not fruity. Each rompus is sweet. Each rompus is a yumpus. Each yumpus is not nervous. Every yumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSweet($x, bool) ::: Is x sweet?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Cold($x, True)\nrule2: Jompus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Fruity($x, True)\nrule4: Tumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Opaque($x, False)\nrule6: Vumpus($x, True) → Rompus($x, True)\nrule7: Zumpus($x, True) → Fruity($x, False)\nrule8: Rompus($x, True) → Sweet($x, True)\nrule9: Rompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Nervous($x, False)\nrule11: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Cold($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Cold('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Opaque($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Nervous($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nVumpus('Sam', True)\nRompus('Sam', True)\nYumpus('Sam', True)\nCold('Sam', True)\nFruity('Sam', True)\nOpaque('Sam', False)\nSweet('Sam', True)\nNervous('Sam', False)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sam', False)\nAccording to the implied fact: Tumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-297_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a dumpus. Every rompus is dull. Each rompus is a dumpus. Dumpuses are feisty. Dumpuses are wumpuses. Each wumpus is transparent. Wumpuses are jompuses. Every numpus is small. Each jompus is not angry. Every jompus is a zumpus. Each zumpus is not small. Each zumpus is a tumpus. Tumpuses are cold. Tumpuses are yumpuses. Yumpuses are floral. Each yumpus is an impus. Impuses are not sour. Impuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Dull($x, True)\nrule2: Rompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Feisty($x, True)\nrule4: Dumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Transparent($x, True)\nrule6: Wumpus($x, True) → Jompus($x, True)\nrule7: Numpus($x, True) → Small($x, True)\nrule8: Jompus($x, True) → Angry($x, False)\nrule9: Jompus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Small($x, False)\nrule11: Zumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Cold($x, True)\nrule13: Tumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Floral($x, True)\nrule15: Yumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Sour($x, False)\nrule17: Impus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Feisty($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Jompus($x, True) → Angry($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Sour($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nJompus('Wren', True)\nZumpus('Wren', True)\nTumpus('Wren', True)\nYumpus('Wren', True)\nImpus('Wren', True)\nFeisty('Wren', True)\nTransparent('Wren', True)\nAngry('Wren', False)\nSmall('Wren', False)\nCold('Wren', True)\nFloral('Wren', True)\nSour('Wren', False)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', False)\nAccording to the implied fact: Impus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-137_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a tumpus. Tumpuses are fruity. Every tumpus is an impus. Impuses are cold. Impuses are rompuses. Rompuses are blue. Zumpuses are not blue. Every rompus is a jompus. Each jompus is metallic. Jompuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Fruity($x, True)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Cold($x, True)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Blue($x, True)\nrule6: Zumpus($x, True) → Blue($x, False)\nrule7: Rompus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Metallic($x, True)\nrule9: Jompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Blue($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Blue('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Metallic($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Stella', True)\nRompus('Stella', True)\nJompus('Stella', True)\nFruity('Stella', True)\nCold('Stella', True)\nBlue('Stella', True)\nMetallic('Stella', True)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Stella', True)\nAccording to the implied fact: Blue('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-360_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Each yumpus is not fruity. Each yumpus is a jompus. Zumpuses are not cold. Jompuses are happy. Each jompus is a rompus. Rompuses are luminous. Rompuses are impuses. Impuses are not transparent. Impuses are dumpuses. Dumpuses are spicy. Dumpuses are numpuses. Every numpus is kind. Numpuses are vumpuses. Every vumpus is not dull. Vumpuses are wumpuses. Every wumpus is cold. Each wumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Fruity($x, False)\nrule2: Yumpus($x, True) → Jompus($x, True)\nrule3: Zumpus($x, True) → Cold($x, False)\nrule4: Jompus($x, True) → Happy($x, True)\nrule5: Jompus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Luminous($x, True)\nrule7: Rompus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Transparent($x, False)\nrule9: Impus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Spicy($x, True)\nrule11: Dumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Kind($x, True)\nrule13: Numpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Dull($x, False)\nrule15: Vumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Cold($x, True)\nrule17: Wumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Rex', True)\nVumpus('Rex', True)\nWumpus('Rex', True)\nSpicy('Rex', True)\nKind('Rex', True)\nDull('Rex', False)\nCold('Rex', True)\nTumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Rex', False)\nAccording to the implied fact: Numpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-350_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Each impus is kind. Each impus is a vumpus. Each vumpus is blue. Vumpuses are jompuses. Jompuses are sour. Every jompus is a dumpus. Every dumpus is dull. Dumpuses are zumpuses. Each zumpus is not fruity. Zumpuses are numpuses. Numpuses are not large. Every numpus is a tumpus. Each rompus is fruity. Every tumpus is temperate. Tumpuses are yumpuses. Every yumpus is not happy. Yumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Kind($x, True)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Blue($x, True)\nrule4: Vumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Sour($x, True)\nrule6: Jompus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Dull($x, True)\nrule8: Dumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Fruity($x, False)\nrule10: Zumpus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Large($x, False)\nrule12: Numpus($x, True) → Tumpus($x, True)\nrule13: Rompus($x, True) → Fruity($x, True)\nrule14: Tumpus($x, True) → Temperate($x, True)\nrule15: Tumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Happy($x, False)\nrule17: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Blue($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Fruity($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Large($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Happy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Sally', True)\nDumpus('Sally', True)\nZumpus('Sally', True)\nNumpus('Sally', True)\nTumpus('Sally', True)\nYumpus('Sally', True)\nBlue('Sally', True)\nSour('Sally', True)\nDull('Sally', True)\nFruity('Sally', False)\nLarge('Sally', False)\nTemperate('Sally', True)\nHappy('Sally', False)\nWumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Sally', True)\nAccording to the implied fact: Dull('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-183_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Dumpuses are sweet. Each dumpus is a yumpus. Each yumpus is earthy. Yumpuses are zumpuses. Every zumpus is not nervous. Zumpuses are tumpuses. Every tumpus is cold. Tumpuses are vumpuses. Each vumpus is not small. Every vumpus is a jompus. Every jompus is dull. Every jompus is a numpus. Each numpus is opaque. Numpuses are rompuses. Each rompus is not brown. Rompuses are impuses. Every wumpus is small.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSweet($x, bool) ::: Is x sweet?\nEarthy($x, bool) ::: Is x earthy?\nNervous($x, bool) ::: Is x nervous?\nSmall($x, bool) ::: Is x small?\nOpaque($x, bool) ::: Is x opaque?\nBrown($x, bool) ::: Is x brown?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Sweet($x, True)\nrule2: Dumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Earthy($x, True)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Nervous($x, False)\nrule6: Zumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Cold($x, True)\nrule8: Tumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Small($x, False)\nrule10: Vumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Dull($x, True)\nrule12: Jompus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Opaque($x, True)\nrule14: Numpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Brown($x, False)\nrule16: Rompus($x, True) → Impus($x, True)\nrule17: Wumpus($x, True) → Small($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Nervous($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Cold($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Cold('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Small($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Brown($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Brown('Rex', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nZumpus('Rex', True)\nTumpus('Rex', True)\nVumpus('Rex', True)\nJompus('Rex', True)\nNumpus('Rex', True)\nRompus('Rex', True)\nEarthy('Rex', True)\nNervous('Rex', False)\nCold('Rex', True)\nSmall('Rex', False)\nDull('Rex', True)\nOpaque('Rex', True)\nBrown('Rex', False)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Rex', True)\nAccording to the implied fact: Opaque('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-328_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Each impus is transparent. Impuses are dumpuses. Dumpuses are not aggressive. Dumpuses are jompuses. Rompuses are not bright. Jompuses are bright. Jompuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Transparent($x, True)\nrule2: Impus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Aggressive($x, False)\nrule4: Dumpus($x, True) → Jompus($x, True)\nrule5: Rompus($x, True) → Bright($x, False)\nrule6: Jompus($x, True) → Bright($x, True)\nrule7: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Aggressive($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Jompus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nDumpus('Max', True)\nJompus('Max', True)\nTransparent('Max', True)\nAggressive('Max', False)\nBright('Max', True)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', True)\nAccording to the known fact: Impus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-16_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a wumpus. Zumpuses are large. Every zumpus is a jompus. Jompuses are earthy. Jompuses are impuses. Every impus is bitter. Impuses are yumpuses. Yumpuses are dull. Every yumpus is a wumpus. Each wumpus is amenable. Every wumpus is a tumpus. Rompuses are not amenable. Tumpuses are opaque. Each tumpus is a numpus. Each numpus is not blue. Numpuses are vumpuses. Vumpuses are feisty. Vumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLarge($x, bool) ::: Is x large?\nEarthy($x, bool) ::: Is x earthy?\nBitter($x, bool) ::: Is x bitter?\nAmenable($x, bool) ::: Is x amenable?\nOpaque($x, bool) ::: Is x opaque?\nBlue($x, bool) ::: Is x blue?\nFeisty($x, bool) ::: Is x feisty?\n\nWe have following known facts from the context:\nWumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Large($x, True)\nrule2: Zumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Earthy($x, True)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Bitter($x, True)\nrule6: Impus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Dull($x, True)\nrule8: Yumpus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Amenable($x, True)\nrule10: Wumpus($x, True) → Tumpus($x, True)\nrule11: Rompus($x, True) → Amenable($x, False)\nrule12: Tumpus($x, True) → Opaque($x, True)\nrule13: Tumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Blue($x, False)\nrule15: Numpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Feisty($x, True)\nrule17: Vumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Wumpus($x, True) → Amenable($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Tumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Blue($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nNumpus('Sam', True)\nVumpus('Sam', True)\nAmenable('Sam', True)\nOpaque('Sam', True)\nBlue('Sam', False)\nFeisty('Sam', True)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Sam', False)\nAccording to the implied fact: Blue('Sam', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-146_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Rompuses are not large. Rompuses are zumpuses. Each zumpus is hot. Zumpuses are tumpuses. Tumpuses are aggressive. Wumpuses are dull. Each tumpus is a jompus. Jompuses are not blue. Each jompus is a yumpus. Yumpuses are not dull. Yumpuses are numpuses. Every numpus is spicy. Each numpus is a dumpus. Dumpuses are not happy. Every dumpus is a vumpus. Each vumpus is liquid. Every vumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLarge($x, bool) ::: Is x large?\nHot($x, bool) ::: Is x hot?\nAggressive($x, bool) ::: Is x aggressive?\nBlue($x, bool) ::: Is x blue?\nSpicy($x, bool) ::: Is x spicy?\nHappy($x, bool) ::: Is x happy?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Large($x, False)\nrule2: Rompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Hot($x, True)\nrule4: Zumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Aggressive($x, True)\nrule6: Wumpus($x, True) → Dull($x, True)\nrule7: Tumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Blue($x, False)\nrule9: Jompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Dull($x, False)\nrule11: Yumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Spicy($x, True)\nrule13: Numpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Happy($x, False)\nrule15: Dumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Liquid($x, True)\nrule17: Vumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Tumpus($x, True) → Aggressive($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Aggressive('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Blue($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Happy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Liquid($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nYumpus('Alex', True)\nNumpus('Alex', True)\nDumpus('Alex', True)\nVumpus('Alex', True)\nAggressive('Alex', True)\nBlue('Alex', False)\nDull('Alex', False)\nSpicy('Alex', True)\nHappy('Alex', False)\nLiquid('Alex', True)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not tumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', False)\nAccording to the known fact: Tumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-491_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a numpus. Each vumpus is brown. Vumpuses are jompuses. Jompuses are not fruity. Jompuses are rompuses. Every rompus is not dull. Rompuses are zumpuses. Zumpuses are opaque. Zumpuses are numpuses. Each numpus is not large. Numpuses are wumpuses. Every wumpus is not metallic. Wumpuses are impuses. Each impus is spicy. Each tumpus is not spicy. Impuses are dumpuses. Dumpuses are happy. Every dumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBrown($x, bool) ::: Is x brown?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nNumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Brown($x, True)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Fruity($x, False)\nrule4: Jompus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Dull($x, False)\nrule6: Rompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Opaque($x, True)\nrule8: Zumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Large($x, False)\nrule10: Numpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Metallic($x, False)\nrule12: Wumpus($x, True) → Impus($x, True)\nrule13: Impus($x, True) → Spicy($x, True)\nrule14: Tumpus($x, True) → Spicy($x, False)\nrule15: Impus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Happy($x, True)\nrule17: Dumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Numpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Metallic($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Spicy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Spicy('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nImpus('Stella', True)\nDumpus('Stella', True)\nLarge('Stella', False)\nMetallic('Stella', False)\nSpicy('Stella', True)\nHappy('Stella', True)\nYumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Stella', True)\nAccording to the implied fact: Large('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-479_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Every vumpus is bitter. Every vumpus is a wumpus. Every wumpus is not cold. Wumpuses are numpuses. Numpuses are not floral. Each numpus is an impus. Jompuses are not transparent. Each impus is dull. Each impus is a rompus. Each rompus is not luminous. Rompuses are zumpuses. Each zumpus is not happy. Each zumpus is a dumpus. Each dumpus is transparent. Each dumpus is a yumpus. Each yumpus is angry. Yumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Bitter($x, True)\nrule2: Vumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Cold($x, False)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Floral($x, False)\nrule6: Numpus($x, True) → Impus($x, True)\nrule7: Jompus($x, True) → Transparent($x, False)\nrule8: Impus($x, True) → Dull($x, True)\nrule9: Impus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Luminous($x, False)\nrule11: Rompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Happy($x, False)\nrule13: Zumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Transparent($x, True)\nrule15: Dumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Angry($x, True)\nrule17: Yumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Impus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Luminous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Happy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Angry('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nZumpus('Alex', True)\nDumpus('Alex', True)\nYumpus('Alex', True)\nDull('Alex', True)\nLuminous('Alex', False)\nHappy('Alex', False)\nTransparent('Alex', True)\nAngry('Alex', True)\nTumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Alex', False)\nAccording to the implied fact: Rompus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-300_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a wumpus. Zumpuses are not transparent. Every impus is not temperate. Zumpuses are dumpuses. Every dumpus is nervous. Each dumpus is a jompus. Each jompus is orange. Each jompus is a wumpus. Each wumpus is not mean. Each wumpus is a rompus. Each rompus is dull. Each rompus is a numpus. Numpuses are metallic. Numpuses are tumpuses. Every tumpus is earthy. Each tumpus is a yumpus. Each yumpus is temperate. Yumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTransparent($x, bool) ::: Is x transparent?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, False)\nrule2: Impus($x, True) → Temperate($x, False)\nrule3: Zumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Nervous($x, True)\nrule5: Dumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Orange($x, True)\nrule7: Jompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Mean($x, False)\nrule9: Wumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Dull($x, True)\nrule11: Rompus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Metallic($x, True)\nrule13: Numpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Earthy($x, True)\nrule15: Tumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Temperate($x, True)\nrule17: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Wumpus($x, True) → Mean($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Mean('Rex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Temperate('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nNumpus('Rex', True)\nTumpus('Rex', True)\nYumpus('Rex', True)\nMean('Rex', False)\nDull('Rex', True)\nMetallic('Rex', True)\nEarthy('Rex', True)\nTemperate('Rex', True)\nVumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Rex', False)\nAccording to the implied fact: Yumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-444_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a jompus. Jompuses are spicy. Every jompus is a vumpus. Each vumpus is not dull. Each vumpus is a zumpus. Each zumpus is not temperate. Zumpuses are yumpuses. Yumpuses are not red. Every yumpus is a rompus. Rompuses are opaque. Every impus is red. Rompuses are tumpuses. Tumpuses are kind. Every tumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nKind($x, bool) ::: Is x kind?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Spicy($x, True)\nrule2: Jompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Dull($x, False)\nrule4: Vumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Temperate($x, False)\nrule6: Zumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Red($x, False)\nrule8: Yumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Opaque($x, True)\nrule10: Impus($x, True) → Red($x, True)\nrule11: Rompus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Kind($x, True)\nrule13: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Spicy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Spicy('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Temperate($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Red($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Kind($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nZumpus('Polly', True)\nYumpus('Polly', True)\nRompus('Polly', True)\nTumpus('Polly', True)\nSpicy('Polly', True)\nDull('Polly', False)\nTemperate('Polly', False)\nRed('Polly', False)\nOpaque('Polly', True)\nKind('Polly', True)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Polly', False)\nAccording to the implied fact: Red('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-29_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a rompus. Rompuses are amenable. Rompuses are wumpuses. Wumpuses are bright. Each wumpus is a numpus. Vumpuses are not fruity. Each numpus is liquid. Every numpus is a zumpus. Zumpuses are fruity. Zumpuses are tumpuses. Tumpuses are hot. Tumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nAmenable($x, bool) ::: Is x amenable?\nBright($x, bool) ::: Is x bright?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Amenable($x, True)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Bright($x, True)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Vumpus($x, True) → Fruity($x, False)\nrule6: Numpus($x, True) → Liquid($x, True)\nrule7: Numpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Fruity($x, True)\nrule9: Zumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Hot($x, True)\nrule11: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Amenable($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Amenable('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Numpus($x, True) → Liquid($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Liquid('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nNumpus('Wren', True)\nZumpus('Wren', True)\nTumpus('Wren', True)\nAmenable('Wren', True)\nBright('Wren', True)\nLiquid('Wren', True)\nFruity('Wren', True)\nHot('Wren', True)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Wren', True)\nAccording to the implied fact: Fruity('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-304_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a rompus. Yumpuses are not small. Every yumpus is a rompus. Every rompus is not bright. Rompuses are zumpuses. Each zumpus is not feisty. Every zumpus is a jompus. Every jompus is not red. Jompuses are tumpuses. Each tumpus is not earthy. Every numpus is feisty. Tumpuses are vumpuses. Every vumpus is mean. Each vumpus is an impus. Every impus is cold. Each impus is a wumpus. Every wumpus is transparent. Wumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSmall($x, bool) ::: Is x small?\nBright($x, bool) ::: Is x bright?\nFeisty($x, bool) ::: Is x feisty?\nRed($x, bool) ::: Is x red?\nEarthy($x, bool) ::: Is x earthy?\nMean($x, bool) ::: Is x mean?\nCold($x, bool) ::: Is x cold?\nTransparent($x, bool) ::: Is x transparent?\n\nWe have following known facts from the context:\nRompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Small($x, False)\nrule2: Yumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Bright($x, False)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Feisty($x, False)\nrule6: Zumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Red($x, False)\nrule8: Jompus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Earthy($x, False)\nrule10: Numpus($x, True) → Feisty($x, True)\nrule11: Tumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Mean($x, True)\nrule13: Vumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Cold($x, True)\nrule15: Impus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Transparent($x, True)\nrule17: Wumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Feisty($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Red($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Red('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Earthy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Mean($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Mean('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nJompus('Stella', True)\nTumpus('Stella', True)\nVumpus('Stella', True)\nImpus('Stella', True)\nWumpus('Stella', True)\nBright('Stella', False)\nFeisty('Stella', False)\nRed('Stella', False)\nEarthy('Stella', False)\nMean('Stella', True)\nCold('Stella', True)\nTransparent('Stella', True)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is impus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Stella', True)\nAccording to the implied fact: Impus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-48_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Each yumpus is nervous. Yumpuses are tumpuses. Tumpuses are blue. Every tumpus is a rompus. Each rompus is small. Each rompus is a zumpus. Each zumpus is amenable. Zumpuses are dumpuses. Dumpuses are transparent. Each dumpus is a jompus. Every jompus is not bitter. Every jompus is a numpus. Each vumpus is wooden. Each numpus is not wooden. Numpuses are impuses. Each impus is not floral. Each impus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Nervous($x, True)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Blue($x, True)\nrule4: Tumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Small($x, True)\nrule6: Rompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Amenable($x, True)\nrule8: Zumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Transparent($x, True)\nrule10: Dumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Bitter($x, False)\nrule12: Jompus($x, True) → Numpus($x, True)\nrule13: Vumpus($x, True) → Wooden($x, True)\nrule14: Numpus($x, True) → Wooden($x, False)\nrule15: Numpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Floral($x, False)\nrule17: Impus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Numpus($x, True) → Wooden($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Floral($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Floral('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Polly', True)\nNumpus('Polly', True)\nImpus('Polly', True)\nTransparent('Polly', True)\nBitter('Polly', False)\nWooden('Polly', False)\nFloral('Polly', False)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Polly', False)\nAccording to the implied fact: Numpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-375_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Each vumpus is not hot. Vumpuses are rompuses. Rompuses are luminous. Rompuses are numpuses. Numpuses are not transparent. Each numpus is a tumpus. Each tumpus is not sweet. Each tumpus is a zumpus. Every zumpus is small. Zumpuses are yumpuses. Every impus is amenable. Yumpuses are not shy. Yumpuses are wumpuses. Wumpuses are not amenable. Wumpuses are dumpuses. Dumpuses are not bright. Dumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nShy($x, bool) ::: Is x shy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Hot($x, False)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Luminous($x, True)\nrule4: Rompus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Transparent($x, False)\nrule6: Numpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Sweet($x, False)\nrule8: Tumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Small($x, True)\nrule10: Zumpus($x, True) → Yumpus($x, True)\nrule11: Impus($x, True) → Amenable($x, True)\nrule12: Yumpus($x, True) → Shy($x, False)\nrule13: Yumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Amenable($x, False)\nrule15: Wumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Bright($x, False)\nrule17: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Zumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Amenable($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Sally', True)\nWumpus('Sally', True)\nDumpus('Sally', True)\nSmall('Sally', True)\nShy('Sally', False)\nAmenable('Sally', False)\nBright('Sally', False)\nJompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sally', False)\nAccording to the known fact: Zumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-75_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Impuses are brown. Each impus is a zumpus. Every zumpus is temperate. Zumpuses are dumpuses. Every dumpus is not small. Every dumpus is a jompus. Each wumpus is not brown.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBrown($x, bool) ::: Is x brown?\nTemperate($x, bool) ::: Is x temperate?\nSmall($x, bool) ::: Is x small?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Brown($x, True)\nrule2: Impus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Temperate($x, True)\nrule4: Zumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Small($x, False)\nrule6: Dumpus($x, True) → Jompus($x, True)\nrule7: Wumpus($x, True) → Brown($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Brown($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nZumpus('Max', True)\nDumpus('Max', True)\nBrown('Max', True)\nTemperate('Max', True)\nSmall('Max', False)\nJompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is dumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Max', True)\nAccording to the implied fact: Dumpus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-234_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Each rompus is opaque. Every rompus is a jompus. Jompuses are nervous. Jompuses are zumpuses. Zumpuses are liquid. Each zumpus is an impus. Impuses are cold. Impuses are numpuses. Numpuses are not floral. Every numpus is a tumpus. Every tumpus is not orange. Tumpuses are vumpuses. Every vumpus is large. Vumpuses are yumpuses. Yumpuses are dull. Yumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Opaque($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Nervous($x, True)\nrule4: Jompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Liquid($x, True)\nrule6: Zumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Cold($x, True)\nrule8: Impus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Floral($x, False)\nrule10: Numpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Orange($x, False)\nrule12: Tumpus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Large($x, True)\nrule14: Vumpus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Dull($x, True)\nrule16: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Floral($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Orange($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nImpus('Alex', True)\nNumpus('Alex', True)\nTumpus('Alex', True)\nVumpus('Alex', True)\nYumpus('Alex', True)\nLiquid('Alex', True)\nCold('Alex', True)\nFloral('Alex', False)\nOrange('Alex', False)\nLarge('Alex', True)\nDull('Alex', True)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Alex', True)\nAccording to the implied fact: Yumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-318_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Each jompus is hot. Each jompus is a vumpus. Every vumpus is wooden. Every vumpus is a rompus. Zumpuses are floral. Every rompus is amenable. Rompuses are yumpuses. Every yumpus is not opaque. Yumpuses are impuses. Each impus is spicy. Each impus is a numpus. Numpuses are small. Numpuses are wumpuses. Wumpuses are not floral. Wumpuses are dumpuses. Every dumpus is shy. Dumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nAmenable($x, bool) ::: Is x amenable?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Hot($x, True)\nrule2: Jompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Wooden($x, True)\nrule4: Vumpus($x, True) → Rompus($x, True)\nrule5: Zumpus($x, True) → Floral($x, True)\nrule6: Rompus($x, True) → Amenable($x, True)\nrule7: Rompus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Opaque($x, False)\nrule9: Yumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Spicy($x, True)\nrule11: Impus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Small($x, True)\nrule13: Numpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Floral($x, False)\nrule15: Wumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Shy($x, True)\nrule17: Dumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Wumpus($x, True) → Floral($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Shy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nFloral('Sally', False)\nShy('Sally', True)\nTumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sally', False)\nAccording to the implied fact: Tumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-126_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Every numpus is orange. Numpuses are tumpuses. Tumpuses are not bright. Each tumpus is a rompus. Each jompus is not kind. Rompuses are wooden. Rompuses are impuses. Every impus is feisty. Impuses are zumpuses. Every zumpus is large. Every zumpus is a dumpus. Every dumpus is cold. Dumpuses are wumpuses. Wumpuses are transparent. Each wumpus is a vumpus. Vumpuses are kind. Each vumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nKind($x, bool) ::: Is x kind?\nWooden($x, bool) ::: Is x wooden?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Orange($x, True)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Bright($x, False)\nrule4: Tumpus($x, True) → Rompus($x, True)\nrule5: Jompus($x, True) → Kind($x, False)\nrule6: Rompus($x, True) → Wooden($x, True)\nrule7: Rompus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Feisty($x, True)\nrule9: Impus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Large($x, True)\nrule11: Zumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Cold($x, True)\nrule13: Dumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Transparent($x, True)\nrule15: Wumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Kind($x, True)\nrule17: Vumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Impus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Cold($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Kind($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nDumpus('Fae', True)\nWumpus('Fae', True)\nVumpus('Fae', True)\nFeisty('Fae', True)\nLarge('Fae', True)\nCold('Fae', True)\nTransparent('Fae', True)\nKind('Fae', True)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', False)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-109_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Every zumpus is bright. Every zumpus is a dumpus. Tumpuses are not sour. Dumpuses are wooden. Dumpuses are jompuses. Jompuses are sour. Jompuses are vumpuses. Each vumpus is not hot. Each vumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Bright($x, True)\nrule2: Zumpus($x, True) → Dumpus($x, True)\nrule3: Tumpus($x, True) → Sour($x, False)\nrule4: Dumpus($x, True) → Wooden($x, True)\nrule5: Dumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Sour($x, True)\nrule7: Jompus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Hot($x, False)\nrule9: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Dumpus($x, True) → Wooden($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Hot($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nJompus('Sally', True)\nVumpus('Sally', True)\nBright('Sally', True)\nWooden('Sally', True)\nSour('Sally', True)\nHot('Sally', False)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sally', True)\nAccording to the implied fact: Dumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-333_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is an impus. Each impus is floral. Each impus is a yumpus. Each yumpus is orange. Every yumpus is a tumpus. Every tumpus is not spicy. Each tumpus is a dumpus. Every dumpus is hot. Every dumpus is a vumpus. Vumpuses are not metallic. Each vumpus is a numpus. Each numpus is not small. Each numpus is a zumpus. Rompuses are metallic. Zumpuses are not opaque. Zumpuses are jompuses. Every jompus is happy. Jompuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nImpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Floral($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Orange($x, True)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Spicy($x, False)\nrule6: Tumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Hot($x, True)\nrule8: Dumpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Metallic($x, False)\nrule10: Vumpus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Small($x, False)\nrule12: Numpus($x, True) → Zumpus($x, True)\nrule13: Rompus($x, True) → Metallic($x, True)\nrule14: Zumpus($x, True) → Opaque($x, False)\nrule15: Zumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Happy($x, True)\nrule17: Jompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Spicy($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Spicy('Max', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Hot($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Hot('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Metallic($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Metallic('Max', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Small($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Zumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Happy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Max', True)\nTumpus('Max', True)\nDumpus('Max', True)\nVumpus('Max', True)\nNumpus('Max', True)\nZumpus('Max', True)\nJompus('Max', True)\nFloral('Max', True)\nOrange('Max', True)\nSpicy('Max', False)\nHot('Max', True)\nMetallic('Max', False)\nSmall('Max', False)\nOpaque('Max', False)\nHappy('Max', True)\nWumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Max', False)\nAccording to the implied fact: Vumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-470_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a numpus. Every zumpus is orange. Each zumpus is an impus. Each impus is not dull. Impuses are jompuses. Dumpuses are not transparent. Jompuses are not angry. Every jompus is a numpus. Each numpus is happy. Every numpus is a tumpus. Each tumpus is sweet. Every tumpus is a rompus. Rompuses are transparent. Each rompus is a wumpus. Wumpuses are not hot. Every wumpus is a yumpus. Every yumpus is earthy. Each yumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Orange($x, True)\nrule2: Zumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Dull($x, False)\nrule4: Impus($x, True) → Jompus($x, True)\nrule5: Dumpus($x, True) → Transparent($x, False)\nrule6: Jompus($x, True) → Angry($x, False)\nrule7: Jompus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Happy($x, True)\nrule9: Numpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Sweet($x, True)\nrule11: Tumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Transparent($x, True)\nrule13: Rompus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Hot($x, False)\nrule15: Wumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Earthy($x, True)\nrule17: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Numpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Earthy('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Wren', True)\nRompus('Wren', True)\nWumpus('Wren', True)\nYumpus('Wren', True)\nHappy('Wren', True)\nSweet('Wren', True)\nTransparent('Wren', True)\nHot('Wren', False)\nEarthy('Wren', True)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Wren', True)\nAccording to the known fact: Numpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-192_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a tumpus. Each tumpus is kind. Jompuses are not dull. Every tumpus is a yumpus. Every yumpus is dull. Every yumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nKind($x, bool) ::: Is x kind?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nTumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Kind($x, True)\nrule2: Jompus($x, True) → Dull($x, False)\nrule3: Tumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Dull($x, True)\nrule5: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Kind($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Kind('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nKind('Wren', True)\nDull('Wren', True)\nWumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is kind.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nKind('Wren', True)\nAccording to the implied fact: Kind('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-363_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Rompuses are dull. Rompuses are dumpuses. Dumpuses are large. Dumpuses are numpuses. Each numpus is not liquid. Each numpus is a yumpus. Yumpuses are temperate. Every yumpus is an impus. Every wumpus is not red. Impuses are red. Every impus is a vumpus. Each vumpus is not feisty. Every vumpus is a jompus. Jompuses are not mean. Jompuses are zumpuses. Zumpuses are not transparent. Zumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMean($x, bool) ::: Is x mean?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Dull($x, True)\nrule2: Rompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Large($x, True)\nrule4: Dumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Liquid($x, False)\nrule6: Numpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Temperate($x, True)\nrule8: Yumpus($x, True) → Impus($x, True)\nrule9: Wumpus($x, True) → Red($x, False)\nrule10: Impus($x, True) → Red($x, True)\nrule11: Impus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Feisty($x, False)\nrule13: Vumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Mean($x, False)\nrule15: Jompus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Transparent($x, False)\nrule17: Zumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Impus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Feisty($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Mean($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Mean('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nVumpus('Sam', True)\nJompus('Sam', True)\nZumpus('Sam', True)\nTemperate('Sam', True)\nRed('Sam', True)\nFeisty('Sam', False)\nMean('Sam', False)\nTransparent('Sam', False)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Sam', False)\nAccording to the implied fact: Mean('Sam', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-237_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Numpuses are transparent. Every zumpus is not luminous. Each numpus is an impus. Each impus is sweet. Impuses are wumpuses. Every wumpus is kind. Each wumpus is a tumpus. Every tumpus is dull. Each tumpus is a yumpus. Yumpuses are luminous. Each yumpus is a jompus. Jompuses are temperate. Jompuses are rompuses. Rompuses are nervous. Rompuses are dumpuses. Every dumpus is not floral. Each dumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nKind($x, bool) ::: Is x kind?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTemperate($x, bool) ::: Is x temperate?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Transparent($x, True)\nrule2: Zumpus($x, True) → Luminous($x, False)\nrule3: Numpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Sweet($x, True)\nrule5: Impus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Kind($x, True)\nrule7: Wumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Dull($x, True)\nrule9: Tumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Luminous($x, True)\nrule11: Yumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Temperate($x, True)\nrule13: Jompus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Nervous($x, True)\nrule15: Rompus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Floral($x, False)\nrule17: Dumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Luminous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Floral($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nJompus('Alex', True)\nRompus('Alex', True)\nDumpus('Alex', True)\nDull('Alex', True)\nLuminous('Alex', True)\nTemperate('Alex', True)\nNervous('Alex', True)\nFloral('Alex', False)\nVumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Alex', True)\nAccording to the implied fact: Jompus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-231_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Dumpuses are transparent. Dumpuses are impuses. Impuses are not feisty. Impuses are tumpuses. Every tumpus is not amenable. Every rompus is feisty. Each tumpus is a zumpus. Each zumpus is not earthy. Every zumpus is a vumpus. Each vumpus is small. Vumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTransparent($x, bool) ::: Is x transparent?\nFeisty($x, bool) ::: Is x feisty?\nAmenable($x, bool) ::: Is x amenable?\nEarthy($x, bool) ::: Is x earthy?\nSmall($x, bool) ::: Is x small?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Transparent($x, True)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Feisty($x, False)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Amenable($x, False)\nrule6: Rompus($x, True) → Feisty($x, True)\nrule7: Tumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Earthy($x, False)\nrule9: Zumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Small($x, True)\nrule11: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Feisty($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Amenable($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Earthy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Small($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Polly', True)\nTumpus('Polly', True)\nZumpus('Polly', True)\nVumpus('Polly', True)\nTransparent('Polly', True)\nFeisty('Polly', False)\nAmenable('Polly', False)\nEarthy('Polly', False)\nSmall('Polly', True)\nJompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Polly', False)\nAccording to the implied fact: Feisty('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-297_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a wumpus. Every tumpus is not transparent. Tumpuses are impuses. Each impus is earthy. Each zumpus is not luminous. Every impus is a yumpus. Every yumpus is blue. Yumpuses are dumpuses. Dumpuses are not nervous. Dumpuses are wumpuses. Every wumpus is temperate. Wumpuses are jompuses. Jompuses are amenable. Every jompus is a numpus. Each numpus is not bright. Numpuses are vumpuses. Every vumpus is luminous. Vumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Transparent($x, False)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Earthy($x, True)\nrule4: Zumpus($x, True) → Luminous($x, False)\nrule5: Impus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Blue($x, True)\nrule7: Yumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Nervous($x, False)\nrule9: Dumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Temperate($x, True)\nrule11: Wumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Amenable($x, True)\nrule13: Jompus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Bright($x, False)\nrule15: Numpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Luminous($x, True)\nrule17: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Wumpus($x, True) → Temperate($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Amenable($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Amenable('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Luminous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nNumpus('Max', True)\nVumpus('Max', True)\nTemperate('Max', True)\nAmenable('Max', True)\nBright('Max', False)\nLuminous('Max', True)\nRompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Max', False)\nAccording to the implied fact: Luminous('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-128_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a yumpus. Every vumpus is not transparent. Zumpuses are not dull. Each zumpus is a yumpus. Yumpuses are liquid. Yumpuses are tumpuses. Tumpuses are transparent. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Transparent($x, False)\nrule2: Zumpus($x, True) → Dull($x, False)\nrule3: Zumpus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Liquid($x, True)\nrule5: Yumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Transparent($x, True)\nrule7: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Liquid('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Transparent($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Transparent('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nTumpus('Max', True)\nLiquid('Max', True)\nTransparent('Max', True)\nDumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Max', False)\nAccording to the implied fact: Tumpus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-165_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Each numpus is shy. Every numpus is a tumpus. Every tumpus is not earthy. Each tumpus is a jompus. Jompuses are opaque. Jompuses are vumpuses. Every vumpus is not dull. Each vumpus is a zumpus. Zumpuses are not aggressive. Each rompus is aggressive. Each zumpus is a dumpus. Every dumpus is not metallic. Dumpuses are wumpuses. Each wumpus is not hot. Wumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMetallic($x, bool) ::: Is x metallic?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Shy($x, True)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Earthy($x, False)\nrule4: Tumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Opaque($x, True)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Dull($x, False)\nrule8: Vumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Aggressive($x, False)\nrule10: Rompus($x, True) → Aggressive($x, True)\nrule11: Zumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Metallic($x, False)\nrule13: Dumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Hot($x, False)\nrule15: Wumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Aggressive($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Metallic($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nDumpus('Wren', True)\nWumpus('Wren', True)\nDull('Wren', False)\nAggressive('Wren', False)\nMetallic('Wren', False)\nHot('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAggressive('Wren', False)\nAccording to the implied fact: Aggressive('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-78_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Dumpuses are dull. Each dumpus is a zumpus. Each zumpus is not amenable. Zumpuses are impuses. Impuses are opaque. Each wumpus is liquid. Every impus is a jompus. Jompuses are large. Every jompus is a vumpus. Vumpuses are happy. Each vumpus is a tumpus. Each tumpus is temperate. Tumpuses are yumpuses. Every yumpus is not liquid. Yumpuses are rompuses. Every rompus is not earthy. Each rompus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLiquid($x, bool) ::: Is x liquid?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Dull($x, True)\nrule2: Dumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Amenable($x, False)\nrule4: Zumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Opaque($x, True)\nrule6: Wumpus($x, True) → Liquid($x, True)\nrule7: Impus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Large($x, True)\nrule9: Jompus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Happy($x, True)\nrule11: Vumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Temperate($x, True)\nrule13: Tumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Liquid($x, False)\nrule15: Yumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Earthy($x, False)\nrule17: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Opaque($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Impus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Happy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Liquid($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Liquid('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Earthy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nVumpus('Alex', True)\nTumpus('Alex', True)\nYumpus('Alex', True)\nRompus('Alex', True)\nOpaque('Alex', True)\nLarge('Alex', True)\nHappy('Alex', True)\nTemperate('Alex', True)\nLiquid('Alex', False)\nEarthy('Alex', False)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', False)\nAccording to the implied fact: Tumpus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-238_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a wumpus. Every dumpus is large. Dumpuses are jompuses. Jompuses are shy. Tumpuses are not transparent. Every jompus is a wumpus. Every wumpus is transparent. Wumpuses are impuses. Each impus is not sweet. Each impus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nWumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, True)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Shy($x, True)\nrule4: Tumpus($x, True) → Transparent($x, False)\nrule5: Jompus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Transparent($x, True)\nrule7: Wumpus($x, True) → Impus($x, True)\nrule8: Impus($x, True) → Sweet($x, False)\nrule9: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Sweet($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nTransparent('Sam', True)\nSweet('Sam', False)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Sam', True)\nAccording to the implied fact: Transparent('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-287_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Numpuses are not orange. Numpuses are vumpuses. Each vumpus is small. Every vumpus is a wumpus. Each wumpus is metallic. Each wumpus is a jompus. Jompuses are not floral. Each jompus is a dumpus. Dumpuses are opaque. Each rompus is not opaque. Every dumpus is a zumpus. Each zumpus is amenable. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Orange($x, False)\nrule2: Numpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Small($x, True)\nrule4: Vumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Metallic($x, True)\nrule6: Wumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Floral($x, False)\nrule8: Jompus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Opaque($x, True)\nrule10: Rompus($x, True) → Opaque($x, False)\nrule11: Dumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Amenable($x, True)\nrule13: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Jompus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Amenable($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Amenable('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nDumpus('Stella', True)\nZumpus('Stella', True)\nFloral('Stella', False)\nOpaque('Stella', True)\nAmenable('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', True)\nAccording to the implied fact: Zumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-264_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Impuses are not floral. Numpuses are temperate. Every impus is a yumpus. Yumpuses are not temperate. Yumpuses are wumpuses. Every wumpus is dull. Wumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nFloral($x, bool) ::: Is x floral?\nTemperate($x, bool) ::: Is x temperate?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Floral($x, False)\nrule2: Numpus($x, True) → Temperate($x, True)\nrule3: Impus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Temperate($x, False)\nrule5: Yumpus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Dull($x, True)\nrule7: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Impus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Temperate($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nWumpus('Stella', True)\nFloral('Stella', False)\nTemperate('Stella', False)\nDull('Stella', True)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not impus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Stella', False)\nAccording to the known fact: Impus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-154_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a zumpus. Yumpuses are sour. Yumpuses are impuses. Every impus is not opaque. Impuses are tumpuses. Every tumpus is not shy. Tumpuses are numpuses. Numpuses are not mean. Numpuses are zumpuses. Each wumpus is brown. Zumpuses are not brown. Zumpuses are rompuses. Every rompus is not temperate. Rompuses are dumpuses. Each dumpus is fruity. Each dumpus is a jompus. Jompuses are luminous. Jompuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSour($x, bool) ::: Is x sour?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMean($x, bool) ::: Is x mean?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Sour($x, True)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Opaque($x, False)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Shy($x, False)\nrule6: Tumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Mean($x, False)\nrule8: Numpus($x, True) → Zumpus($x, True)\nrule9: Wumpus($x, True) → Brown($x, True)\nrule10: Zumpus($x, True) → Brown($x, False)\nrule11: Zumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Temperate($x, False)\nrule13: Rompus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Fruity($x, True)\nrule15: Dumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Luminous($x, True)\nrule17: Jompus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Zumpus($x, True) → Brown($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Temperate($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Temperate('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Fruity($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Luminous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Luminous('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Max', True)\nDumpus('Max', True)\nJompus('Max', True)\nBrown('Max', False)\nTemperate('Max', False)\nFruity('Max', True)\nLuminous('Max', True)\nVumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Max', True)\nAccording to the implied fact: Brown('Max', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-434_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a jompus. Jompuses are small. Each jompus is a yumpus. Each yumpus is metallic. Yumpuses are wumpuses. Every wumpus is not dull. Every wumpus is a zumpus. Each zumpus is not sweet. Zumpuses are rompuses. Each rompus is temperate. Rompuses are vumpuses. Each vumpus is not floral. Vumpuses are numpuses. Each impus is sweet. Numpuses are not opaque. Every numpus is a tumpus. Tumpuses are feisty. Tumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSmall($x, bool) ::: Is x small?\nMetallic($x, bool) ::: Is x metallic?\nDull($x, bool) ::: Is x dull?\nSweet($x, bool) ::: Is x sweet?\nTemperate($x, bool) ::: Is x temperate?\nFloral($x, bool) ::: Is x floral?\nOpaque($x, bool) ::: Is x opaque?\nFeisty($x, bool) ::: Is x feisty?\n\nWe have following known facts from the context:\nJompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Small($x, True)\nrule2: Jompus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Metallic($x, True)\nrule4: Yumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Dull($x, False)\nrule6: Wumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Sweet($x, False)\nrule8: Zumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Temperate($x, True)\nrule10: Rompus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Floral($x, False)\nrule12: Vumpus($x, True) → Numpus($x, True)\nrule13: Impus($x, True) → Sweet($x, True)\nrule14: Numpus($x, True) → Opaque($x, False)\nrule15: Numpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Feisty($x, True)\nrule17: Tumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Metallic('Wren', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Sweet($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Floral($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Numpus($x, True) → Opaque($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Feisty($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Wren', True)\nWumpus('Wren', True)\nZumpus('Wren', True)\nRompus('Wren', True)\nVumpus('Wren', True)\nNumpus('Wren', True)\nTumpus('Wren', True)\nSmall('Wren', True)\nMetallic('Wren', True)\nDull('Wren', False)\nSweet('Wren', False)\nTemperate('Wren', True)\nFloral('Wren', False)\nOpaque('Wren', False)\nFeisty('Wren', True)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is yumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Wren', True)\nAccording to the implied fact: Yumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-137_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Wumpuses are brown. Zumpuses are small. Wumpuses are numpuses. Every numpus is not small. Each numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBrown($x, bool) ::: Is x brown?\nSmall($x, bool) ::: Is x small?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Brown($x, True)\nrule2: Zumpus($x, True) → Small($x, True)\nrule3: Wumpus($x, True) → Numpus($x, True)\nrule4: Numpus($x, True) → Small($x, False)\nrule5: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Small($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nBrown('Alex', True)\nSmall('Alex', False)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is impus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Alex', True)\nAccording to the implied fact: Impus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-288_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Every vumpus is opaque. Every vumpus is a rompus. Every rompus is blue. Every rompus is a zumpus. Zumpuses are kind. Impuses are not bright. Zumpuses are tumpuses. Each tumpus is earthy. Tumpuses are jompuses. Each jompus is bright. Every jompus is a numpus. Numpuses are hot. Each numpus is a wumpus. Every wumpus is feisty. Wumpuses are dumpuses. Every dumpus is not sour. Every dumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, True)\nrule2: Vumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Blue($x, True)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Kind($x, True)\nrule6: Impus($x, True) → Bright($x, False)\nrule7: Zumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Earthy($x, True)\nrule9: Tumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Bright($x, True)\nrule11: Jompus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Hot($x, True)\nrule13: Numpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Feisty($x, True)\nrule15: Wumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Sour($x, False)\nrule17: Dumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Kind($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Sour($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nZumpus('Alex', True)\nTumpus('Alex', True)\nJompus('Alex', True)\nNumpus('Alex', True)\nWumpus('Alex', True)\nDumpus('Alex', True)\nOpaque('Alex', True)\nBlue('Alex', True)\nKind('Alex', True)\nEarthy('Alex', True)\nBright('Alex', True)\nHot('Alex', True)\nFeisty('Alex', True)\nSour('Alex', False)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is blue.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBlue('Alex', True)\nAccording to the implied fact: Blue('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-329_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Numpuses are hot. Each numpus is a yumpus. Each yumpus is not small. Every yumpus is a zumpus. Each zumpus is not sour. Each zumpus is a vumpus. Each jompus is floral. Vumpuses are not mean. Every vumpus is a wumpus. Wumpuses are not dull. Each wumpus is a dumpus. Dumpuses are happy. Dumpuses are tumpuses. Every tumpus is not luminous. Every tumpus is a rompus. Every rompus is not floral. Each rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Hot($x, True)\nrule2: Numpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Small($x, False)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Sour($x, False)\nrule6: Zumpus($x, True) → Vumpus($x, True)\nrule7: Jompus($x, True) → Floral($x, True)\nrule8: Vumpus($x, True) → Mean($x, False)\nrule9: Vumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Dull($x, False)\nrule11: Wumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Happy($x, True)\nrule13: Dumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Luminous($x, False)\nrule15: Tumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Floral($x, False)\nrule17: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Vumpus($x, True) → Mean($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Dull($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Dull('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Luminous($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Floral($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nDumpus('Wren', True)\nTumpus('Wren', True)\nRompus('Wren', True)\nMean('Wren', False)\nDull('Wren', False)\nHappy('Wren', True)\nLuminous('Wren', False)\nFloral('Wren', False)\nImpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Wren', False)\nAccording to the implied fact: Dumpus('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-19_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Each zumpus is not floral. Each vumpus is floral. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nFloral($x, bool) ::: Is x floral?\nRex($x, bool) ::: Does x belong to Rex?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Floral($x, False)\nrule2: Vumpus($x, True) → Floral($x, True)\nrule3: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Floral($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nFloral('Rex', False)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Zumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', False)\nAccording to the known fact: Zumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-449_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Every rompus is not shy. Rompuses are dumpuses. Dumpuses are not floral. Dumpuses are wumpuses. Each wumpus is not red. Wumpuses are jompuses. Jompuses are aggressive. Jompuses are zumpuses. Zumpuses are hot. Zumpuses are tumpuses. Every tumpus is not opaque. Each tumpus is an impus. Numpuses are opaque. Impuses are wooden. Impuses are yumpuses. Each yumpus is spicy. Each yumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Shy($x, False)\nrule2: Rompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Floral($x, False)\nrule4: Dumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Red($x, False)\nrule6: Wumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Aggressive($x, True)\nrule8: Jompus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Hot($x, True)\nrule10: Zumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Opaque($x, False)\nrule12: Tumpus($x, True) → Impus($x, True)\nrule13: Numpus($x, True) → Opaque($x, True)\nrule14: Impus($x, True) → Wooden($x, True)\nrule15: Impus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Spicy($x, True)\nrule17: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Red($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Red('Wren', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Aggressive($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Aggressive('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Hot('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Impus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Spicy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nZumpus('Wren', True)\nTumpus('Wren', True)\nImpus('Wren', True)\nYumpus('Wren', True)\nRed('Wren', False)\nAggressive('Wren', True)\nHot('Wren', True)\nOpaque('Wren', False)\nWooden('Wren', True)\nSpicy('Wren', True)\nVumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is aggressive.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAggressive('Wren', True)\nAccording to the implied fact: Aggressive('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-472_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Every vumpus is not luminous. Vumpuses are yumpuses. Every yumpus is hot. Every yumpus is a zumpus. Zumpuses are large. Each zumpus is an impus. Every impus is not bright. Numpuses are bright. Every impus is a rompus. Every rompus is sweet. Rompuses are jompuses. Jompuses are feisty. Every jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFeisty($x, bool) ::: Is x feisty?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Luminous($x, False)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Hot($x, True)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Large($x, True)\nrule6: Zumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Bright($x, False)\nrule8: Numpus($x, True) → Bright($x, True)\nrule9: Impus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Sweet($x, True)\nrule11: Rompus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Feisty($x, True)\nrule13: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Bright($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Impus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Fae', True)\nRompus('Fae', True)\nJompus('Fae', True)\nLarge('Fae', True)\nBright('Fae', False)\nSweet('Fae', True)\nFeisty('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not sweet.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSweet('Fae', False)\nAccording to the implied fact: Sweet('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-497_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Zumpuses are fruity. Zumpuses are wumpuses. Wumpuses are not shy. Wumpuses are yumpuses. Tumpuses are not small. Yumpuses are brown. Every yumpus is a jompus. Jompuses are dull. Jompuses are vumpuses. Vumpuses are not liquid. Every vumpus is a rompus. Rompuses are bitter. Every rompus is a dumpus. Dumpuses are small. Every dumpus is an impus. Each impus is aggressive. Every impus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nBrown($x, bool) ::: Is x brown?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Fruity($x, True)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Shy($x, False)\nrule4: Wumpus($x, True) → Yumpus($x, True)\nrule5: Tumpus($x, True) → Small($x, False)\nrule6: Yumpus($x, True) → Brown($x, True)\nrule7: Yumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Dull($x, True)\nrule9: Jompus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Liquid($x, False)\nrule11: Vumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Bitter($x, True)\nrule13: Rompus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Small($x, True)\nrule15: Dumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Aggressive($x, True)\nrule17: Impus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Jompus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Liquid($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Small($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Small('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Aggressive($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nRompus('Sally', True)\nDumpus('Sally', True)\nImpus('Sally', True)\nDull('Sally', True)\nLiquid('Sally', False)\nBitter('Sally', True)\nSmall('Sally', True)\nAggressive('Sally', True)\nNumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sally', True)\nAccording to the implied fact: Vumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-289_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Every jompus is not blue. Impuses are blue. Jompuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Blue($x, False)\nrule2: Impus($x, True) → Blue($x, True)\nrule3: Jompus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Blue($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nBlue('Sam', False)\nZumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sam', False)\nAccording to the implied fact: Zumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-22_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Rompuses are mean. Each rompus is a wumpus. Wumpuses are not wooden. Wumpuses are numpuses. Vumpuses are wooden.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Mean($x, True)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Wooden($x, False)\nrule4: Wumpus($x, True) → Numpus($x, True)\nrule5: Vumpus($x, True) → Wooden($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Mean($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Mean('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nFinally, we obtain following implied facts:\nWumpus('Max', True)\nMean('Max', True)\nWooden('Max', False)\nNumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Max', True)\nAccording to the implied fact: Mean('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-256_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a jompus. Tumpuses are sour. Each tumpus is a rompus. Rompuses are cold. Each rompus is a zumpus. Each zumpus is earthy. Each zumpus is a jompus. Jompuses are small. Jompuses are dumpuses. Dumpuses are transparent. Each dumpus is an impus. Every wumpus is feisty. Impuses are not liquid. Impuses are numpuses. Every numpus is not feisty. Every numpus is a yumpus. Yumpuses are amenable. Yumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSour($x, bool) ::: Is x sour?\nEarthy($x, bool) ::: Is x earthy?\nSmall($x, bool) ::: Is x small?\nFeisty($x, bool) ::: Is x feisty?\nAmenable($x, bool) ::: Is x amenable?\n\nWe have following known facts from the context:\nJompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Sour($x, True)\nrule2: Tumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Cold($x, True)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Earthy($x, True)\nrule6: Zumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Small($x, True)\nrule8: Jompus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Transparent($x, True)\nrule10: Dumpus($x, True) → Impus($x, True)\nrule11: Wumpus($x, True) → Feisty($x, True)\nrule12: Impus($x, True) → Liquid($x, False)\nrule13: Impus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Feisty($x, False)\nrule15: Numpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Amenable($x, True)\nrule17: Yumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Jompus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Impus($x, True) → Liquid($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Liquid('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Feisty($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Amenable($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nImpus('Sam', True)\nNumpus('Sam', True)\nYumpus('Sam', True)\nSmall('Sam', True)\nTransparent('Sam', True)\nLiquid('Sam', False)\nFeisty('Sam', False)\nAmenable('Sam', True)\nVumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is yumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Sam', True)\nAccording to the implied fact: Yumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-489_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Each jompus is metallic. Numpuses are mean. Numpuses are dumpuses. Dumpuses are blue. Each dumpus is a zumpus. Zumpuses are not large. Each zumpus is a yumpus. Each yumpus is not metallic. Yumpuses are impuses. Each impus is bright. Each impus is a tumpus. Tumpuses are hot. Every tumpus is a wumpus. Every wumpus is sweet. Each wumpus is a vumpus. Vumpuses are not earthy. Every vumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Metallic($x, True)\nrule2: Numpus($x, True) → Mean($x, True)\nrule3: Numpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Blue($x, True)\nrule5: Dumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Large($x, False)\nrule7: Zumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Metallic($x, False)\nrule9: Yumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Bright($x, True)\nrule11: Impus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Hot($x, True)\nrule13: Tumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Sweet($x, True)\nrule15: Wumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Earthy($x, False)\nrule17: Vumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Dumpus($x, True) → Blue($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Blue('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Large($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Metallic($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Hot($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Sweet($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Sweet('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Earthy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nYumpus('Polly', True)\nImpus('Polly', True)\nTumpus('Polly', True)\nWumpus('Polly', True)\nVumpus('Polly', True)\nBlue('Polly', True)\nLarge('Polly', False)\nMetallic('Polly', False)\nBright('Polly', True)\nHot('Polly', True)\nSweet('Polly', True)\nEarthy('Polly', False)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Polly', False)\nAccording to the implied fact: Bright('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-88_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a tumpus. Every wumpus is orange. Each wumpus is a yumpus. Every yumpus is hot. Zumpuses are not transparent. Each yumpus is an impus. Every impus is not sweet. Impuses are tumpuses. Every tumpus is aggressive. Each tumpus is a dumpus. Dumpuses are transparent. Every dumpus is a numpus. Numpuses are feisty. Each numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFeisty($x, bool) ::: Is x feisty?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Orange($x, True)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Hot($x, True)\nrule4: Zumpus($x, True) → Transparent($x, False)\nrule5: Yumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Sweet($x, False)\nrule7: Impus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Aggressive($x, True)\nrule9: Tumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Transparent($x, True)\nrule11: Dumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Feisty($x, True)\nrule13: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Tumpus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nDumpus('Rex', True)\nNumpus('Rex', True)\nAggressive('Rex', True)\nTransparent('Rex', True)\nFeisty('Rex', True)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Rex', False)\nAccording to the implied fact: Feisty('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-52_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Impuses are orange. Impuses are vumpuses. Vumpuses are floral. Every vumpus is a tumpus. Tumpuses are bright. Tumpuses are yumpuses. Yumpuses are angry. Every yumpus is a zumpus. Zumpuses are not shy. Zumpuses are rompuses. Each jompus is not opaque. Rompuses are temperate. Rompuses are wumpuses. Wumpuses are luminous. Wumpuses are numpuses. Each numpus is opaque. Every numpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOrange($x, bool) ::: Is x orange?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nShy($x, bool) ::: Is x shy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Orange($x, True)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Floral($x, True)\nrule4: Vumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Bright($x, True)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Angry($x, True)\nrule8: Yumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Shy($x, False)\nrule10: Zumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Opaque($x, False)\nrule12: Rompus($x, True) → Temperate($x, True)\nrule13: Rompus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Luminous($x, True)\nrule15: Wumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Opaque($x, True)\nrule17: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Zumpus($x, True) → Shy($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Luminous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Stella', True)\nWumpus('Stella', True)\nNumpus('Stella', True)\nShy('Stella', False)\nOpaque('Stella', False)\nOpaque('Stella', True)\nTemperate('Stella', True)\nLuminous('Stella', True)\nDumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', True)\nAccording to the known fact: Zumpus('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-239_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Numpuses are angry. Numpuses are tumpuses. Tumpuses are large. Each tumpus is a vumpus. Vumpuses are red. Yumpuses are not metallic. Every vumpus is a zumpus. Each zumpus is not earthy. Every zumpus is a wumpus. Wumpuses are feisty. Every wumpus is an impus. Each impus is metallic. Impuses are rompuses. Rompuses are transparent. Each rompus is a dumpus. Every dumpus is not sour. Dumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Angry($x, True)\nrule2: Numpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Large($x, True)\nrule4: Tumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Red($x, True)\nrule6: Yumpus($x, True) → Metallic($x, False)\nrule7: Vumpus($x, True) → Zumpus($x, True)\nrule8: Zumpus($x, True) → Earthy($x, False)\nrule9: Zumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Feisty($x, True)\nrule11: Wumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Metallic($x, True)\nrule13: Impus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Transparent($x, True)\nrule15: Rompus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Sour($x, False)\nrule17: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Tumpus($x, True) → Large($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Large('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Earthy($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Feisty('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Metallic($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Metallic('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Sour($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sour('Sam', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Sam', True)\nZumpus('Sam', True)\nWumpus('Sam', True)\nImpus('Sam', True)\nRompus('Sam', True)\nDumpus('Sam', True)\nLarge('Sam', True)\nRed('Sam', True)\nEarthy('Sam', False)\nFeisty('Sam', True)\nMetallic('Sam', True)\nTransparent('Sam', True)\nSour('Sam', False)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not sour.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSour('Sam', False)\nAccording to the implied fact: Sour('Sam', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-42_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Each vumpus is not orange. Each vumpus is an impus. Each impus is opaque. Each impus is a tumpus. Every tumpus is sour. Tumpuses are dumpuses. Dumpuses are not feisty. Dumpuses are numpuses. Every numpus is fruity. Every numpus is a wumpus. Every wumpus is not wooden. Every wumpus is a rompus. Rompuses are large. Each rompus is a yumpus. Each yumpus is angry. Every yumpus is a jompus. Each zumpus is feisty.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Orange($x, False)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Opaque($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Sour($x, True)\nrule6: Tumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Feisty($x, False)\nrule8: Dumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Fruity($x, True)\nrule10: Numpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Wooden($x, False)\nrule12: Wumpus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Large($x, True)\nrule14: Rompus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Angry($x, True)\nrule16: Yumpus($x, True) → Jompus($x, True)\nrule17: Zumpus($x, True) → Feisty($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Orange($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Orange('Sally', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Opaque($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Feisty($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Feisty('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Fruity('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Wooden($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Angry($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Angry('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nTumpus('Sally', True)\nDumpus('Sally', True)\nNumpus('Sally', True)\nWumpus('Sally', True)\nRompus('Sally', True)\nYumpus('Sally', True)\nOrange('Sally', False)\nOpaque('Sally', True)\nSour('Sally', True)\nFeisty('Sally', False)\nFruity('Sally', True)\nWooden('Sally', False)\nLarge('Sally', True)\nAngry('Sally', True)\nJompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not orange.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOrange('Sally', False)\nAccording to the implied fact: Orange('Sally', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-381_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Numpuses are dull. Tumpuses are not dull. Every tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Dull($x, True)\nrule2: Tumpus($x, True) → Dull($x, False)\nrule3: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Tumpus($x, True) → Dull($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Dull('Max', False)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nDull('Max', False)\nImpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', False)\nAccording to the implied fact: Impus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-312_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a jompus. Each jompus is brown. Every jompus is an impus. Each impus is fruity. Impuses are wumpuses. Wumpuses are not temperate. Wumpuses are numpuses. Numpuses are small. Numpuses are vumpuses. Each vumpus is feisty. Each vumpus is a zumpus. Every zumpus is liquid. Zumpuses are yumpuses. Each yumpus is not bright. Yumpuses are tumpuses. Tumpuses are not amenable. Tumpuses are rompuses. Dumpuses are not small.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nJompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Brown($x, True)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Fruity($x, True)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Temperate($x, False)\nrule6: Wumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Small($x, True)\nrule8: Numpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Feisty($x, True)\nrule10: Vumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Liquid($x, True)\nrule12: Zumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Bright($x, False)\nrule14: Yumpus($x, True) → Tumpus($x, True)\nrule15: Tumpus($x, True) → Amenable($x, False)\nrule16: Tumpus($x, True) → Rompus($x, True)\nrule17: Dumpus($x, True) → Small($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Fruity($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Fruity('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Temperate($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Liquid($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Liquid('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Amenable($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Amenable('Stella', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nImpus('Stella', True)\nWumpus('Stella', True)\nNumpus('Stella', True)\nVumpus('Stella', True)\nZumpus('Stella', True)\nYumpus('Stella', True)\nTumpus('Stella', True)\nBrown('Stella', True)\nFruity('Stella', True)\nTemperate('Stella', False)\nSmall('Stella', True)\nFeisty('Stella', True)\nLiquid('Stella', True)\nBright('Stella', False)\nAmenable('Stella', False)\nRompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Stella', True)\nAccording to the implied fact: Temperate('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-290_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Rompuses are orange. Each rompus is an impus. Impuses are not sour. Each vumpus is not wooden. Impuses are yumpuses. Yumpuses are not earthy. Every yumpus is a tumpus. Tumpuses are small. Tumpuses are dumpuses. Each dumpus is not transparent. Each dumpus is a wumpus. Each wumpus is not aggressive. Every wumpus is a numpus. Numpuses are dull. Numpuses are jompuses. Jompuses are wooden. Every jompus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Orange($x, True)\nrule2: Rompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Sour($x, False)\nrule4: Vumpus($x, True) → Wooden($x, False)\nrule5: Impus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Earthy($x, False)\nrule7: Yumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Small($x, True)\nrule9: Tumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Transparent($x, False)\nrule11: Dumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Aggressive($x, False)\nrule13: Wumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Dull($x, True)\nrule15: Numpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Wooden($x, True)\nrule17: Jompus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Dumpus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Aggressive($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Aggressive('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Wooden($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nNumpus('Polly', True)\nJompus('Polly', True)\nTransparent('Polly', False)\nAggressive('Polly', False)\nDull('Polly', True)\nWooden('Polly', True)\nZumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Polly', True)\nAccording to the known fact: Dumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-489_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Zumpuses are luminous. Zumpuses are wumpuses. Each tumpus is not brown. Every wumpus is brown. Wumpuses are dumpuses. Dumpuses are large. Every dumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLuminous($x, bool) ::: Is x luminous?\nBrown($x, bool) ::: Is x brown?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Luminous($x, True)\nrule2: Zumpus($x, True) → Wumpus($x, True)\nrule3: Tumpus($x, True) → Brown($x, False)\nrule4: Wumpus($x, True) → Brown($x, True)\nrule5: Wumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Large($x, True)\nrule7: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Luminous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nWumpus('Alex', True)\nDumpus('Alex', True)\nLuminous('Alex', True)\nBrown('Alex', True)\nLarge('Alex', True)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Alex', True)\nAccording to the implied fact: Jompus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-201_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Vumpuses are earthy. Every vumpus is a jompus. Each jompus is not luminous. Each jompus is a tumpus. Each tumpus is sour. Tumpuses are yumpuses. Yumpuses are not large. Each yumpus is a rompus. Rompuses are happy. Every rompus is a dumpus. Dumpuses are opaque. Dumpuses are wumpuses. Wumpuses are not hot. Each zumpus is not opaque. Wumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLuminous($x, bool) ::: Is x luminous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Earthy($x, True)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Luminous($x, False)\nrule4: Jompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Sour($x, True)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Large($x, False)\nrule8: Yumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Happy($x, True)\nrule10: Rompus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Opaque($x, True)\nrule12: Dumpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Hot($x, False)\nrule14: Zumpus($x, True) → Opaque($x, False)\nrule15: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Yumpus($x, True) → Large($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Hot($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Hot('Stella', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nRompus('Stella', True)\nDumpus('Stella', True)\nWumpus('Stella', True)\nLarge('Stella', False)\nHappy('Stella', True)\nOpaque('Stella', True)\nHot('Stella', False)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Stella', False)\nAccording to the implied fact: Large('Stella', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-346_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a jompus. Every yumpus is not large. Yumpuses are rompuses. Rompuses are earthy. Rompuses are tumpuses. Tumpuses are bright. Vumpuses are not brown. Tumpuses are jompuses. Every jompus is sweet. Jompuses are impuses. Every impus is opaque. Impuses are zumpuses. Zumpuses are feisty. Zumpuses are wumpuses. Wumpuses are brown. Wumpuses are dumpuses. Dumpuses are temperate. Dumpuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLarge($x, bool) ::: Is x large?\nEarthy($x, bool) ::: Is x earthy?\nBright($x, bool) ::: Is x bright?\nBrown($x, bool) ::: Is x brown?\nSweet($x, bool) ::: Is x sweet?\nOpaque($x, bool) ::: Is x opaque?\nFeisty($x, bool) ::: Is x feisty?\nTemperate($x, bool) ::: Is x temperate?\n\nWe have following known facts from the context:\nJompus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Large($x, False)\nrule2: Yumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Earthy($x, True)\nrule4: Rompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Bright($x, True)\nrule6: Vumpus($x, True) → Brown($x, False)\nrule7: Tumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Sweet($x, True)\nrule9: Jompus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Opaque($x, True)\nrule11: Impus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Feisty($x, True)\nrule13: Zumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Brown($x, True)\nrule15: Wumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Temperate($x, True)\nrule17: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Jompus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Feisty($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Feisty('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nZumpus('Wren', True)\nWumpus('Wren', True)\nDumpus('Wren', True)\nSweet('Wren', True)\nOpaque('Wren', True)\nFeisty('Wren', True)\nBrown('Wren', True)\nTemperate('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Wren', False)\nAccording to the implied fact: Opaque('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-162_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Wumpuses are feisty. Each impus is fruity. Every wumpus is a dumpus. Dumpuses are mean. Dumpuses are zumpuses. Zumpuses are not wooden. Every zumpus is a tumpus. Tumpuses are hot. Every tumpus is a rompus. Every rompus is not orange. Rompuses are jompuses. Jompuses are not spicy. Jompuses are vumpuses. Every vumpus is not fruity. Each vumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nMean($x, bool) ::: Is x mean?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Feisty($x, True)\nrule2: Impus($x, True) → Fruity($x, True)\nrule3: Wumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Mean($x, True)\nrule5: Dumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Wooden($x, False)\nrule7: Zumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Hot($x, True)\nrule9: Tumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Orange($x, False)\nrule11: Rompus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Spicy($x, False)\nrule13: Jompus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Fruity($x, False)\nrule15: Vumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Vumpus($x, True) → Fruity($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nFruity('Polly', False)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is not fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Polly', False)\nAccording to the implied fact: Fruity('Polly', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-323_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Yumpuses are temperate. Each yumpus is a zumpus. Zumpuses are floral. Each zumpus is a rompus. Every rompus is opaque. Every rompus is a vumpus. Each vumpus is not bright. Every vumpus is a numpus. Numpuses are large. Every wumpus is not floral. Every numpus is a jompus. Jompuses are sour. Jompuses are impuses. Impuses are red. Each impus is a dumpus. Every dumpus is happy. Each dumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTemperate($x, bool) ::: Is x temperate?\nFloral($x, bool) ::: Is x floral?\nOpaque($x, bool) ::: Is x opaque?\nBright($x, bool) ::: Is x bright?\nLarge($x, bool) ::: Is x large?\nSour($x, bool) ::: Is x sour?\nRed($x, bool) ::: Is x red?\nHappy($x, bool) ::: Is x happy?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Temperate($x, True)\nrule2: Yumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Floral($x, True)\nrule4: Zumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Opaque($x, True)\nrule6: Rompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Bright($x, False)\nrule8: Vumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Large($x, True)\nrule10: Wumpus($x, True) → Floral($x, False)\nrule11: Numpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Sour($x, True)\nrule13: Jompus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Red($x, True)\nrule15: Impus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Happy($x, True)\nrule17: Dumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Bright($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Sour($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Red($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Red('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Happy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nRompus('Alex', True)\nVumpus('Alex', True)\nNumpus('Alex', True)\nJompus('Alex', True)\nImpus('Alex', True)\nDumpus('Alex', True)\nTemperate('Alex', True)\nFloral('Alex', True)\nOpaque('Alex', True)\nBright('Alex', False)\nLarge('Alex', True)\nSour('Alex', True)\nRed('Alex', True)\nHappy('Alex', True)\nTumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not temperate.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTemperate('Alex', False)\nAccording to the implied fact: Temperate('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-52_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Every impus is temperate. Every impus is a vumpus. Every vumpus is shy. Vumpuses are numpuses. Every numpus is not red. Each yumpus is fruity. Every numpus is a jompus. Jompuses are sweet. Jompuses are rompuses. Rompuses are not fruity. Each rompus is a tumpus. Each tumpus is not opaque. Tumpuses are wumpuses. Each wumpus is not large. Each wumpus is a dumpus. Dumpuses are angry. Each dumpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Temperate($x, True)\nrule2: Impus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Shy($x, True)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Red($x, False)\nrule6: Yumpus($x, True) → Fruity($x, True)\nrule7: Numpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Sweet($x, True)\nrule9: Jompus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Fruity($x, False)\nrule11: Rompus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Opaque($x, False)\nrule13: Tumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Large($x, False)\nrule15: Wumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Angry($x, True)\nrule17: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Red($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Angry($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Angry('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Fae', True)\nJompus('Fae', True)\nRompus('Fae', True)\nTumpus('Fae', True)\nWumpus('Fae', True)\nDumpus('Fae', True)\nShy('Fae', True)\nRed('Fae', False)\nSweet('Fae', True)\nFruity('Fae', False)\nOpaque('Fae', False)\nLarge('Fae', False)\nAngry('Fae', True)\nZumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', False)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-266_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a vumpus. Each zumpus is transparent. Zumpuses are dumpuses. Dumpuses are not luminous. Each dumpus is a vumpus. Vumpuses are earthy. Every impus is angry. Vumpuses are tumpuses. Tumpuses are dull. Tumpuses are jompuses. Each jompus is blue. Every jompus is a numpus. Each numpus is not angry. Each numpus is a rompus. Each rompus is hot. Each rompus is a wumpus. Wumpuses are nervous. Each wumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBlue($x, bool) ::: Is x blue?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\n\nWe have following known facts from the context:\nVumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, True)\nrule2: Zumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Luminous($x, False)\nrule4: Dumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Earthy($x, True)\nrule6: Impus($x, True) → Angry($x, True)\nrule7: Vumpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Dull($x, True)\nrule9: Tumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Blue($x, True)\nrule11: Jompus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Angry($x, False)\nrule13: Numpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Hot($x, True)\nrule15: Rompus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Nervous($x, True)\nrule17: Wumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Blue($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Angry($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Hot($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Hot('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Nervous('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nJompus('Sam', True)\nNumpus('Sam', True)\nRompus('Sam', True)\nWumpus('Sam', True)\nEarthy('Sam', True)\nDull('Sam', True)\nBlue('Sam', True)\nAngry('Sam', False)\nHot('Sam', True)\nNervous('Sam', True)\nYumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is dull.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDull('Sam', True)\nAccording to the implied fact: Dull('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-288_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Zumpuses are earthy. Zumpuses are rompuses. Each rompus is not dull. Each rompus is a jompus. Jompuses are large. Jompuses are vumpuses. Vumpuses are transparent. Each vumpus is a numpus. Numpuses are not luminous. Each numpus is a tumpus. Every tumpus is temperate. Tumpuses are yumpuses. Every yumpus is brown. Every impus is luminous. Yumpuses are dumpuses. Each dumpus is not spicy. Every dumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nEarthy($x, bool) ::: Is x earthy?\nDull($x, bool) ::: Is x dull?\nLarge($x, bool) ::: Is x large?\nLuminous($x, bool) ::: Is x luminous?\nTemperate($x, bool) ::: Is x temperate?\nBrown($x, bool) ::: Is x brown?\nSpicy($x, bool) ::: Is x spicy?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Earthy($x, True)\nrule2: Zumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Dull($x, False)\nrule4: Rompus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Large($x, True)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Transparent($x, True)\nrule8: Vumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Luminous($x, False)\nrule10: Numpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Temperate($x, True)\nrule12: Tumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Brown($x, True)\nrule14: Impus($x, True) → Luminous($x, True)\nrule15: Yumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Spicy($x, False)\nrule17: Dumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Vumpus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Luminous($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Spicy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nTumpus('Alex', True)\nYumpus('Alex', True)\nDumpus('Alex', True)\nTransparent('Alex', True)\nLuminous('Alex', False)\nTemperate('Alex', True)\nBrown('Alex', True)\nSpicy('Alex', False)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Alex', True)\nAccording to the implied fact: Luminous('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-81_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Tumpuses are sweet. Wumpuses are nervous. Tumpuses are vumpuses. Each vumpus is temperate. Vumpuses are zumpuses. Each zumpus is earthy. Zumpuses are numpuses. Every numpus is luminous. Numpuses are impuses. Every impus is not nervous. Impuses are jompuses. Each jompus is not bright. Every jompus is a yumpus. Every yumpus is not kind. Yumpuses are rompuses. Rompuses are transparent. Each rompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSweet($x, bool) ::: Is x sweet?\nNervous($x, bool) ::: Is x nervous?\nTemperate($x, bool) ::: Is x temperate?\nEarthy($x, bool) ::: Is x earthy?\nLuminous($x, bool) ::: Is x luminous?\nBright($x, bool) ::: Is x bright?\nKind($x, bool) ::: Is x kind?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Sweet($x, True)\nrule2: Wumpus($x, True) → Nervous($x, True)\nrule3: Tumpus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Temperate($x, True)\nrule5: Vumpus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Earthy($x, True)\nrule7: Zumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Luminous($x, True)\nrule9: Numpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Nervous($x, False)\nrule11: Impus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Bright($x, False)\nrule13: Jompus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Kind($x, False)\nrule15: Yumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Transparent($x, True)\nrule17: Rompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Sweet($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Sweet('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Temperate($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Temperate('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Nervous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Nervous('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Bright($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Kind($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Polly', True)\nZumpus('Polly', True)\nNumpus('Polly', True)\nImpus('Polly', True)\nJompus('Polly', True)\nYumpus('Polly', True)\nRompus('Polly', True)\nSweet('Polly', True)\nTemperate('Polly', True)\nEarthy('Polly', True)\nLuminous('Polly', True)\nNervous('Polly', False)\nBright('Polly', False)\nKind('Polly', False)\nTransparent('Polly', True)\nDumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is jumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Polly', True)\nAccording to the implied fact: Jompus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-49_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Each vumpus is dull. Each vumpus is a dumpus. Every dumpus is wooden. Every dumpus is a tumpus. Each tumpus is kind. Every tumpus is a yumpus. Yumpuses are happy. Every yumpus is an impus. Every impus is red. Impuses are jompuses. Jompuses are opaque. Jompuses are zumpuses. Zumpuses are not small. Every zumpus is a rompus. Wumpuses are not kind. Rompuses are not spicy. Rompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nHappy($x, bool) ::: Is x happy?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Dull($x, True)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Wooden($x, True)\nrule4: Dumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Kind($x, True)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Happy($x, True)\nrule8: Yumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Red($x, True)\nrule10: Impus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Opaque($x, True)\nrule12: Jompus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Small($x, False)\nrule14: Zumpus($x, True) → Rompus($x, True)\nrule15: Wumpus($x, True) → Kind($x, False)\nrule16: Rompus($x, True) → Spicy($x, False)\nrule17: Rompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Dumpus($x, True) → Wooden($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Kind($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Happy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Red($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Rompus($x, True) → Spicy($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Spicy('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Polly', True)\nYumpus('Polly', True)\nImpus('Polly', True)\nJompus('Polly', True)\nZumpus('Polly', True)\nRompus('Polly', True)\nWooden('Polly', True)\nKind('Polly', True)\nHappy('Polly', True)\nRed('Polly', True)\nOpaque('Polly', True)\nSmall('Polly', False)\nSpicy('Polly', False)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Polly', False)\nAccording to the implied fact: Impus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-67_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Vumpuses are angry. Every vumpus is a numpus. Each numpus is not bright. Each numpus is a yumpus. Yumpuses are red. Yumpuses are impuses. Impuses are not shy. Impuses are wumpuses. Wumpuses are not fruity. Each wumpus is a jompus. Jompuses are not metallic. Jompuses are dumpuses. Each dumpus is opaque. Every dumpus is a tumpus. Every tumpus is not bitter. Every zumpus is shy. Each tumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nAngry($x, bool) ::: Is x angry?\nBright($x, bool) ::: Is x bright?\nRed($x, bool) ::: Is x red?\nMetallic($x, bool) ::: Is x metallic?\nOpaque($x, bool) ::: Is x opaque?\nBitter($x, bool) ::: Is x bitter?\nRex($x, bool) ::: Does x belong to Rex?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Angry($x, True)\nrule2: Vumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Bright($x, False)\nrule4: Numpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Red($x, True)\nrule6: Yumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Shy($x, False)\nrule8: Impus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Fruity($x, False)\nrule10: Wumpus($x, True) → Jompus($x, True)\nrule11: Jompus($x, True) → Metallic($x, False)\nrule12: Jompus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Opaque($x, True)\nrule14: Dumpus($x, True) → Tumpus($x, True)\nrule15: Tumpus($x, True) → Bitter($x, False)\nrule16: Zumpus($x, True) → Shy($x, True)\nrule17: Tumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Bright($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Red($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Shy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Fruity($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Metallic($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Bitter($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Rex', True)\nImpus('Rex', True)\nWumpus('Rex', True)\nJompus('Rex', True)\nDumpus('Rex', True)\nTumpus('Rex', True)\nBright('Rex', False)\nRed('Rex', True)\nShy('Rex', False)\nFruity('Rex', False)\nMetallic('Rex', False)\nOpaque('Rex', True)\nBitter('Rex', False)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is a member of Tumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Rex', True)\nAccording to the implied fact: Tumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-10_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a zumpus. Every zumpus is fruity. Zumpuses are dumpuses. Each dumpus is large. Each dumpus is a jompus. Jompuses are not transparent. Jompuses are tumpuses. Every tumpus is angry. Every tumpus is a numpus. Every numpus is not brown. Numpuses are wumpuses. Wumpuses are sour. Wumpuses are vumpuses. Vumpuses are metallic. Vumpuses are rompuses. Every rompus is dull. Yumpuses are brown. Each rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSour($x, bool) ::: Is x sour?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nZumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Fruity($x, True)\nrule2: Zumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Large($x, True)\nrule4: Dumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Transparent($x, False)\nrule6: Jompus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Angry($x, True)\nrule8: Tumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Brown($x, False)\nrule10: Numpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Sour($x, True)\nrule12: Wumpus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Metallic($x, True)\nrule14: Vumpus($x, True) → Rompus($x, True)\nrule15: Rompus($x, True) → Dull($x, True)\nrule16: Yumpus($x, True) → Brown($x, True)\nrule17: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Transparent($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Transparent('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Angry($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Angry('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Brown($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Sour($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Sour('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Metallic($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Rompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nJompus('Polly', True)\nTumpus('Polly', True)\nNumpus('Polly', True)\nWumpus('Polly', True)\nVumpus('Polly', True)\nRompus('Polly', True)\nFruity('Polly', True)\nLarge('Polly', True)\nTransparent('Polly', False)\nAngry('Polly', True)\nBrown('Polly', False)\nSour('Polly', True)\nMetallic('Polly', True)\nDull('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Polly', True)\nAccording to the implied fact: Rompus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-135_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a vumpus. Each vumpus is not opaque. Vumpuses are impuses. Every impus is bitter. Impuses are jompuses. Jompuses are not shy. Jompuses are zumpuses. Each zumpus is angry. Yumpuses are not bitter. Every zumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAngry($x, bool) ::: Is x angry?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nVumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, False)\nrule2: Vumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Bitter($x, True)\nrule4: Impus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Shy($x, False)\nrule6: Jompus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Angry($x, True)\nrule8: Yumpus($x, True) → Bitter($x, False)\nrule9: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Impus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Shy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Shy('Rex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Angry($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Angry('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nImpus('Rex', True)\nJompus('Rex', True)\nZumpus('Rex', True)\nOpaque('Rex', False)\nBitter('Rex', True)\nShy('Rex', False)\nAngry('Rex', True)\nWumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Rex', False)\nAccording to the implied fact: Opaque('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-148_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a yumpus. Every vumpus is not luminous. Each vumpus is a yumpus. Each yumpus is not spicy. Yumpuses are zumpuses. Zumpuses are fruity. Zumpuses are wumpuses. Every wumpus is mean. Wumpuses are tumpuses. Tumpuses are transparent. Tumpuses are rompuses. Each numpus is not transparent. Rompuses are small. Rompuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Luminous($x, False)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Spicy($x, False)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Fruity($x, True)\nrule6: Zumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Mean($x, True)\nrule8: Wumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Transparent($x, True)\nrule10: Tumpus($x, True) → Rompus($x, True)\nrule11: Numpus($x, True) → Transparent($x, False)\nrule12: Rompus($x, True) → Small($x, True)\nrule13: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Spicy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Mean($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Rompus($x, True) → Small($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nZumpus('Wren', True)\nWumpus('Wren', True)\nTumpus('Wren', True)\nRompus('Wren', True)\nSpicy('Wren', False)\nFruity('Wren', True)\nMean('Wren', True)\nTransparent('Wren', True)\nSmall('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', True)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-18_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Each tumpus is bright. Every tumpus is a rompus. Rompuses are not cold. Every rompus is a yumpus. Each yumpus is not angry. Yumpuses are numpuses. Zumpuses are angry.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Bright($x, True)\nrule2: Tumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Cold($x, False)\nrule4: Rompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Angry($x, False)\nrule6: Yumpus($x, True) → Numpus($x, True)\nrule7: Zumpus($x, True) → Angry($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Rompus($x, True) → Cold($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Angry($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Angry('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nRompus('Polly', True)\nYumpus('Polly', True)\nBright('Polly', True)\nCold('Polly', False)\nAngry('Polly', False)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Polly', True)\nAccording to the implied fact: Bright('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-72_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Each jompus is brown. Every jompus is a numpus. Numpuses are nervous. Numpuses are yumpuses. Each yumpus is small. Yumpuses are zumpuses. Each zumpus is not bright. Each zumpus is a rompus. Every vumpus is floral. Each rompus is not cold. Rompuses are dumpuses. Every dumpus is sweet. Each dumpus is a wumpus. Every wumpus is not floral. Each wumpus is an impus. Impuses are opaque. Each impus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Brown($x, True)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Nervous($x, True)\nrule4: Numpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Small($x, True)\nrule6: Yumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Bright($x, False)\nrule8: Zumpus($x, True) → Rompus($x, True)\nrule9: Vumpus($x, True) → Floral($x, True)\nrule10: Rompus($x, True) → Cold($x, False)\nrule11: Rompus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Sweet($x, True)\nrule13: Dumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Floral($x, False)\nrule15: Wumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Opaque($x, True)\nrule17: Impus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Rompus($x, True) → Cold($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Stella', True)\nDumpus('Stella', True)\nWumpus('Stella', True)\nImpus('Stella', True)\nBright('Stella', False)\nCold('Stella', False)\nSweet('Stella', True)\nFloral('Stella', False)\nOpaque('Stella', True)\nTumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Stella', True)\nAccording to the implied fact: Bright('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-196_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a dumpus. Yumpuses are luminous. Yumpuses are numpuses. Numpuses are not sour. Numpuses are wumpuses. Every wumpus is not hot. Wumpuses are vumpuses. Each vumpus is not dull. Vumpuses are jompuses. Each jompus is not shy. Each jompus is a dumpus. Dumpuses are brown. Dumpuses are rompuses. Rompuses are aggressive. Rompuses are zumpuses. Every zumpus is floral. Every tumpus is not floral. Every zumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nAggressive($x, bool) ::: Is x aggressive?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Luminous($x, True)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Sour($x, False)\nrule4: Numpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Hot($x, False)\nrule6: Wumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Dull($x, False)\nrule8: Vumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Shy($x, False)\nrule10: Jompus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Brown($x, True)\nrule12: Dumpus($x, True) → Rompus($x, True)\nrule13: Rompus($x, True) → Aggressive($x, True)\nrule14: Rompus($x, True) → Zumpus($x, True)\nrule15: Zumpus($x, True) → Floral($x, True)\nrule16: Tumpus($x, True) → Floral($x, False)\nrule17: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Dumpus($x, True) → Brown($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Brown('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Aggressive($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Floral($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nZumpus('Rex', True)\nBrown('Rex', True)\nAggressive('Rex', True)\nFloral('Rex', True)\nImpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Rex', True)\nAccording to the known fact: Dumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-457_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Every yumpus is dull. Every yumpus is a vumpus. Vumpuses are happy. Every vumpus is a jompus. Each jompus is fruity. Jompuses are impuses. Impuses are not sweet. Every impus is a zumpus. Every rompus is sweet. Each zumpus is red. Zumpuses are tumpuses. Tumpuses are transparent. Every tumpus is a dumpus. Each dumpus is liquid. Every dumpus is a wumpus. Every wumpus is kind. Every wumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\nSweet($x, bool) ::: Is x sweet?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nKind($x, bool) ::: Is x kind?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Dull($x, True)\nrule2: Yumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Happy($x, True)\nrule4: Vumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Fruity($x, True)\nrule6: Jompus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Sweet($x, False)\nrule8: Impus($x, True) → Zumpus($x, True)\nrule9: Rompus($x, True) → Sweet($x, True)\nrule10: Zumpus($x, True) → Red($x, True)\nrule11: Zumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Transparent($x, True)\nrule13: Tumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Liquid($x, True)\nrule15: Dumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Kind($x, True)\nrule17: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Vumpus('Sam', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Vumpus($x, True) → Happy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Happy('Sam', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Fruity($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Fruity('Sam', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Sweet($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Zumpus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Liquid($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Liquid('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Kind($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Kind('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Sam', True)\nJompus('Sam', True)\nImpus('Sam', True)\nZumpus('Sam', True)\nTumpus('Sam', True)\nDumpus('Sam', True)\nWumpus('Sam', True)\nDull('Sam', True)\nHappy('Sam', True)\nFruity('Sam', True)\nSweet('Sam', False)\nRed('Sam', True)\nTransparent('Sam', True)\nLiquid('Sam', True)\nKind('Sam', True)\nNumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not kind.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nKind('Sam', False)\nAccording to the implied fact: Kind('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-119_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a yumpus. Rompuses are orange. Each rompus is a jompus. Every jompus is hot. Each jompus is a yumpus. Yumpuses are not wooden. Every yumpus is a tumpus. Every tumpus is dull. Every tumpus is a zumpus. Zumpuses are opaque. Each zumpus is a wumpus. Wumpuses are sweet. Wumpuses are numpuses. Numpuses are amenable. Numpuses are impuses. Each vumpus is not amenable. Impuses are small. Each impus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Orange($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Hot($x, True)\nrule4: Jompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Wooden($x, False)\nrule6: Yumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Dull($x, True)\nrule8: Tumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Opaque($x, True)\nrule10: Zumpus($x, True) → Wumpus($x, True)\nrule11: Wumpus($x, True) → Sweet($x, True)\nrule12: Wumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Amenable($x, True)\nrule14: Numpus($x, True) → Impus($x, True)\nrule15: Vumpus($x, True) → Amenable($x, False)\nrule16: Impus($x, True) → Small($x, True)\nrule17: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Yumpus($x, True) → Wooden($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Wooden('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Opaque('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Sweet($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Sweet('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Numpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Amenable($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Amenable('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Impus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sam', True)\nZumpus('Sam', True)\nWumpus('Sam', True)\nNumpus('Sam', True)\nImpus('Sam', True)\nWooden('Sam', False)\nDull('Sam', True)\nOpaque('Sam', True)\nSweet('Sam', True)\nAmenable('Sam', True)\nSmall('Sam', True)\nDumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Sam', False)\nAccording to the implied fact: Numpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-9_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Each dumpus is small. Each numpus is transparent. Numpuses are jompuses. Jompuses are happy. Jompuses are impuses. Every impus is not hot. Impuses are vumpuses. Vumpuses are sweet. Vumpuses are rompuses. Rompuses are not small. Each rompus is a yumpus. Yumpuses are wooden. Every yumpus is a tumpus. Every tumpus is fruity. Tumpuses are wumpuses. Every wumpus is bright. Every wumpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nRompus($x, bool) ::: Does x belong to Rompuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFruity($x, bool) ::: Is x fruity?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Small($x, True)\nrule2: Numpus($x, True) → Transparent($x, True)\nrule3: Numpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Happy($x, True)\nrule5: Jompus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Hot($x, False)\nrule7: Impus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Sweet($x, True)\nrule9: Vumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Small($x, False)\nrule11: Rompus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Wooden($x, True)\nrule13: Yumpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Fruity($x, True)\nrule15: Tumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Bright($x, True)\nrule17: Wumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Vumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Small($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Small('Wren', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Wren', True)\nYumpus('Wren', True)\nTumpus('Wren', True)\nWumpus('Wren', True)\nSweet('Wren', True)\nSmall('Wren', False)\nWooden('Wren', True)\nFruity('Wren', True)\nBright('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Wren', True)\nAccording to the implied fact: Small('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-256_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a zumpus. Impuses are aggressive. Impuses are zumpuses. Every zumpus is large. Zumpuses are jompuses. Jompuses are metallic. Every jompus is a vumpus. Dumpuses are not brown. Vumpuses are feisty. Vumpuses are yumpuses. Yumpuses are brown. Yumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nAggressive($x, bool) ::: Is x aggressive?\nLarge($x, bool) ::: Is x large?\nMetallic($x, bool) ::: Is x metallic?\nBrown($x, bool) ::: Is x brown?\nFeisty($x, bool) ::: Is x feisty?\n\nWe have following known facts from the context:\nZumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Aggressive($x, True)\nrule2: Impus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Large($x, True)\nrule4: Zumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Metallic($x, True)\nrule6: Jompus($x, True) → Vumpus($x, True)\nrule7: Dumpus($x, True) → Brown($x, False)\nrule8: Vumpus($x, True) → Feisty($x, True)\nrule9: Vumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Brown($x, True)\nrule11: Yumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Brown($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Brown('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nVumpus('Rex', True)\nYumpus('Rex', True)\nLarge('Rex', True)\nMetallic('Rex', True)\nFeisty('Rex', True)\nBrown('Rex', True)\nWumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is Zumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', True)\nAccording to the known fact: Zumpus('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-25_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Every rompus is bright. Each rompus is a jompus. Jompuses are metallic. Each jompus is an impus. Impuses are blue. Impuses are yumpuses. Each vumpus is not nervous. Yumpuses are nervous. Yumpuses are numpuses. Each numpus is not fruity. Every numpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nImpus($x, bool) ::: Does x belong to Impuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Metallic($x, True)\nrule4: Jompus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Blue($x, True)\nrule6: Impus($x, True) → Yumpus($x, True)\nrule7: Vumpus($x, True) → Nervous($x, False)\nrule8: Yumpus($x, True) → Nervous($x, True)\nrule9: Yumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Fruity($x, False)\nrule11: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Bright($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Metallic($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Metallic('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Blue($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Blue('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Yumpus($x, True) → Nervous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Numpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Fruity($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Fruity('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nImpus('Max', True)\nYumpus('Max', True)\nNumpus('Max', True)\nBright('Max', True)\nMetallic('Max', True)\nBlue('Max', True)\nNervous('Max', True)\nFruity('Max', False)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is not nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Max', False)\nAccording to the implied fact: Nervous('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-355_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a zumpus. Tumpuses are not shy. Dumpuses are temperate. Tumpuses are jompuses. Each jompus is not metallic. Jompuses are zumpuses. Zumpuses are bright. Each zumpus is a rompus. Every rompus is not temperate. Every rompus is an impus. Impuses are large. Every impus is a numpus. Numpuses are not bitter. Numpuses are yumpuses. Yumpuses are opaque. Every yumpus is a wumpus. Each wumpus is red. Wumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nZumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Shy($x, False)\nrule2: Dumpus($x, True) → Temperate($x, True)\nrule3: Tumpus($x, True) → Jompus($x, True)\nrule4: Jompus($x, True) → Metallic($x, False)\nrule5: Jompus($x, True) → Zumpus($x, True)\nrule6: Zumpus($x, True) → Bright($x, True)\nrule7: Zumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Temperate($x, False)\nrule9: Rompus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Large($x, True)\nrule11: Impus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Bitter($x, False)\nrule13: Numpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Opaque($x, True)\nrule15: Yumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Red($x, True)\nrule17: Wumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Temperate($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Bitter($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Red($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nImpus('Fae', True)\nNumpus('Fae', True)\nYumpus('Fae', True)\nWumpus('Fae', True)\nBright('Fae', True)\nTemperate('Fae', False)\nLarge('Fae', True)\nBitter('Fae', False)\nOpaque('Fae', True)\nRed('Fae', True)\nVumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Fae', True)\nAccording to the implied fact: Numpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-188_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a rompus. Every wumpus is blue. Wumpuses are dumpuses. Dumpuses are not transparent. Every dumpus is a tumpus. Every tumpus is not mean. Each tumpus is a rompus. Each impus is wooden. Rompuses are not small. Rompuses are yumpuses. Yumpuses are bright. Each yumpus is a vumpus. Vumpuses are bitter. Vumpuses are zumpuses. Every zumpus is earthy. Each zumpus is a jompus. Each jompus is not wooden. Jompuses are numpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nRompus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Blue($x, True)\nrule2: Wumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Transparent($x, False)\nrule4: Dumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Mean($x, False)\nrule6: Tumpus($x, True) → Rompus($x, True)\nrule7: Impus($x, True) → Wooden($x, True)\nrule8: Rompus($x, True) → Small($x, False)\nrule9: Rompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Bright($x, True)\nrule11: Yumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Bitter($x, True)\nrule13: Vumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Earthy($x, True)\nrule15: Zumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Wooden($x, False)\nrule17: Jompus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Rompus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Wooden($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Wooden('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Polly', True)\nVumpus('Polly', True)\nZumpus('Polly', True)\nJompus('Polly', True)\nSmall('Polly', False)\nBright('Polly', True)\nBitter('Polly', True)\nEarthy('Polly', True)\nWooden('Polly', False)\nNumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Polly', True)\nAccording to the implied fact: Vumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-94_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a zumpus. Dumpuses are earthy. Each dumpus is an impus. Each impus is temperate. Impuses are tumpuses. Every tumpus is metallic. Tumpuses are numpuses. Numpuses are dull. Every numpus is a yumpus. Each yumpus is transparent. Each yumpus is a zumpus. Each zumpus is not nervous. Zumpuses are vumpuses. Vumpuses are not mean. Vumpuses are wumpuses. Rompuses are nervous. Every wumpus is not spicy. Wumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMetallic($x, bool) ::: Is x metallic?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNervous($x, bool) ::: Is x nervous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Earthy($x, True)\nrule2: Dumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Temperate($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Metallic($x, True)\nrule6: Tumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Dull($x, True)\nrule8: Numpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Transparent($x, True)\nrule10: Yumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Nervous($x, False)\nrule12: Zumpus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Mean($x, False)\nrule14: Vumpus($x, True) → Wumpus($x, True)\nrule15: Rompus($x, True) → Nervous($x, True)\nrule16: Wumpus($x, True) → Spicy($x, False)\nrule17: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Zumpus($x, True) → Nervous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Mean($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Mean('Sally', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Wumpus($x, True) → Spicy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Sally', True)\nWumpus('Sally', True)\nNervous('Sally', False)\nMean('Sally', False)\nSpicy('Sally', False)\nJompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sally', False)\nAccording to the implied fact: Jompus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-94_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Tumpuses are red. Every tumpus is a zumpus. Every dumpus is transparent. Each zumpus is small. Zumpuses are impuses. Impuses are not transparent. Impuses are numpuses. Each numpus is floral. Numpuses are vumpuses. Vumpuses are happy. Each vumpus is a yumpus. Yumpuses are bright. Each yumpus is a rompus. Every rompus is wooden. Each rompus is a jompus. Each jompus is mean. Every jompus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRed($x, bool) ::: Is x red?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nFloral($x, bool) ::: Is x floral?\nHappy($x, bool) ::: Is x happy?\nBright($x, bool) ::: Is x bright?\nWooden($x, bool) ::: Is x wooden?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Red($x, True)\nrule2: Tumpus($x, True) → Zumpus($x, True)\nrule3: Dumpus($x, True) → Transparent($x, True)\nrule4: Zumpus($x, True) → Small($x, True)\nrule5: Zumpus($x, True) → Impus($x, True)\nrule6: Impus($x, True) → Transparent($x, False)\nrule7: Impus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Floral($x, True)\nrule9: Numpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Happy($x, True)\nrule11: Vumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Bright($x, True)\nrule13: Yumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Wooden($x, True)\nrule15: Rompus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Mean($x, True)\nrule17: Jompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Impus($x, True) → Transparent($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Floral($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Floral('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Happy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Happy('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Wooden($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Mean($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Wren', True)\nVumpus('Wren', True)\nYumpus('Wren', True)\nRompus('Wren', True)\nJompus('Wren', True)\nTransparent('Wren', False)\nFloral('Wren', True)\nHappy('Wren', True)\nBright('Wren', True)\nWooden('Wren', True)\nMean('Wren', True)\nWumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Wren', True)\nAccording to the implied fact: Wumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-358_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Every vumpus is transparent. Every vumpus is a zumpus. Zumpuses are happy. Each zumpus is a yumpus. Yumpuses are not sour. Every yumpus is a wumpus. Wumpuses are not small. Wumpuses are tumpuses. Tumpuses are dull. Each tumpus is a rompus. Rompuses are not temperate. Impuses are not liquid. Rompuses are numpuses. Each numpus is fruity. Every numpus is a jompus. Jompuses are liquid. Every jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSour($x, bool) ::: Is x sour?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Transparent($x, True)\nrule2: Vumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Happy($x, True)\nrule4: Zumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Sour($x, False)\nrule6: Yumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Small($x, False)\nrule8: Wumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Dull($x, True)\nrule10: Tumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Temperate($x, False)\nrule12: Impus($x, True) → Liquid($x, False)\nrule13: Rompus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Fruity($x, True)\nrule15: Numpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Liquid($x, True)\nrule17: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Numpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Liquid($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nFruity('Rex', True)\nLiquid('Rex', True)\nDumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Rex', False)\nAccording to the implied fact: Jompus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-494_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Jompuses are not aggressive. Every jompus is a vumpus. Each vumpus is feisty. Each vumpus is a wumpus. Wumpuses are transparent. Wumpuses are rompuses. Every rompus is earthy. Each rompus is a zumpus. Each zumpus is not hot. Zumpuses are tumpuses. Tumpuses are spicy. Tumpuses are dumpuses. Dumpuses are liquid. Yumpuses are hot. Dumpuses are numpuses. Each numpus is not brown. Each numpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSpicy($x, bool) ::: Is x spicy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Aggressive($x, False)\nrule2: Jompus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Feisty($x, True)\nrule4: Vumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Transparent($x, True)\nrule6: Wumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Earthy($x, True)\nrule8: Rompus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Hot($x, False)\nrule10: Zumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Spicy($x, True)\nrule12: Tumpus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Liquid($x, True)\nrule14: Yumpus($x, True) → Hot($x, True)\nrule15: Dumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Brown($x, False)\nrule17: Numpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Feisty('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Earthy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Hot($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Spicy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Brown($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nRompus('Sally', True)\nZumpus('Sally', True)\nTumpus('Sally', True)\nDumpus('Sally', True)\nNumpus('Sally', True)\nFeisty('Sally', True)\nTransparent('Sally', True)\nEarthy('Sally', True)\nHot('Sally', False)\nSpicy('Sally', True)\nLiquid('Sally', True)\nBrown('Sally', False)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is transparent.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTransparent('Sally', True)\nAccording to the implied fact: Transparent('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-181_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Each yumpus is not opaque. Each yumpus is a tumpus. Numpuses are not small. Each tumpus is not amenable. Tumpuses are rompuses. Rompuses are happy. Rompuses are wumpuses. Every wumpus is small. Each wumpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nOpaque($x, bool) ::: Is x opaque?\nSmall($x, bool) ::: Is x small?\nAmenable($x, bool) ::: Is x amenable?\nHappy($x, bool) ::: Is x happy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Opaque($x, False)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Numpus($x, True) → Small($x, False)\nrule4: Tumpus($x, True) → Amenable($x, False)\nrule5: Tumpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Happy($x, True)\nrule7: Rompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Small($x, True)\nrule9: Wumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Wumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nSmall('Alex', True)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Alex', True)\nAccording to the known fact: Wumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-52_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a vumpus. Each vumpus is not happy. Each vumpus is a dumpus. Dumpuses are liquid. Every rompus is not red. Dumpuses are numpuses. Numpuses are dull. Every numpus is a tumpus. Tumpuses are small. Tumpuses are wumpuses. Every wumpus is red. Every wumpus is a zumpus. Each zumpus is bitter. Every zumpus is a yumpus. Yumpuses are opaque. Yumpuses are impuses. Impuses are not floral. Impuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLiquid($x, bool) ::: Is x liquid?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nVumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Happy($x, False)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Liquid($x, True)\nrule4: Rompus($x, True) → Red($x, False)\nrule5: Dumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Dull($x, True)\nrule7: Numpus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Small($x, True)\nrule9: Tumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Red($x, True)\nrule11: Wumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Bitter($x, True)\nrule13: Zumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Opaque($x, True)\nrule15: Yumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Floral($x, False)\nrule17: Impus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Happy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Happy('Rex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Liquid($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Small($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Small('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Red($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Red('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Bitter($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bitter('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Floral($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Floral('Rex', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Rex', True)\nNumpus('Rex', True)\nTumpus('Rex', True)\nWumpus('Rex', True)\nZumpus('Rex', True)\nYumpus('Rex', True)\nImpus('Rex', True)\nHappy('Rex', False)\nLiquid('Rex', True)\nDull('Rex', True)\nSmall('Rex', True)\nRed('Rex', True)\nBitter('Rex', True)\nOpaque('Rex', True)\nFloral('Rex', False)\nJompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Rex', True)\nAccording to the implied fact: Bitter('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-23_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Jompuses are not red. Each jompus is an impus. Numpuses are not aggressive. Each impus is shy. Impuses are tumpuses. Every tumpus is floral. Tumpuses are vumpuses. Each vumpus is not temperate. Every vumpus is a zumpus. Zumpuses are luminous. Every zumpus is a yumpus. Each yumpus is aggressive. Yumpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRed($x, bool) ::: Is x red?\nAggressive($x, bool) ::: Is x aggressive?\nFloral($x, bool) ::: Is x floral?\nTemperate($x, bool) ::: Is x temperate?\nLuminous($x, bool) ::: Is x luminous?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Red($x, False)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Numpus($x, True) → Aggressive($x, False)\nrule4: Impus($x, True) → Shy($x, True)\nrule5: Impus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Floral($x, True)\nrule7: Tumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Temperate($x, False)\nrule9: Vumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Luminous($x, True)\nrule11: Zumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Aggressive($x, True)\nrule13: Yumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Impus($x, True) → Shy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Shy('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Floral($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Temperate($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Luminous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nVumpus('Sally', True)\nZumpus('Sally', True)\nYumpus('Sally', True)\nShy('Sally', True)\nFloral('Sally', True)\nTemperate('Sally', False)\nLuminous('Sally', True)\nAggressive('Sally', True)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Sally', True)\nAccording to the implied fact: Zumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-404_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a vumpus. Every dumpus is luminous. Dumpuses are vumpuses. Each vumpus is not dull. Each vumpus is a numpus. Every numpus is not aggressive. Each numpus is a wumpus. Wumpuses are not orange. Every wumpus is a tumpus. Zumpuses are not happy. Each tumpus is fruity. Every tumpus is a rompus. Every rompus is happy. Rompuses are jompuses. Each jompus is not opaque. Jompuses are yumpuses. Every yumpus is not bitter. Each yumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHappy($x, bool) ::: Is x happy?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Luminous($x, True)\nrule2: Dumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Dull($x, False)\nrule4: Vumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Aggressive($x, False)\nrule6: Numpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Orange($x, False)\nrule8: Wumpus($x, True) → Tumpus($x, True)\nrule9: Zumpus($x, True) → Happy($x, False)\nrule10: Tumpus($x, True) → Fruity($x, True)\nrule11: Tumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Happy($x, True)\nrule13: Rompus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Opaque($x, False)\nrule15: Jompus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Bitter($x, False)\nrule17: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Dull($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Numpus($x, True) → Aggressive($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Aggressive('Polly', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Orange($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Orange('Polly', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Happy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Opaque($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Opaque('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Bitter($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Polly', True)\nWumpus('Polly', True)\nTumpus('Polly', True)\nRompus('Polly', True)\nJompus('Polly', True)\nYumpus('Polly', True)\nDull('Polly', False)\nAggressive('Polly', False)\nOrange('Polly', False)\nFruity('Polly', True)\nHappy('Polly', True)\nOpaque('Polly', False)\nBitter('Polly', False)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Polly', True)\nAccording to the implied fact: Impus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-391_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a jompus. Each wumpus is aggressive. Jompuses are large. Every jompus is a dumpus. Every dumpus is not aggressive. Each dumpus is a tumpus. Every tumpus is not earthy. Every tumpus is a yumpus. Yumpuses are spicy. Yumpuses are rompuses. Rompuses are opaque. Rompuses are impuses. Impuses are dull. Impuses are vumpuses. Every vumpus is feisty. Each vumpus is a numpus. Numpuses are metallic. Every numpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nJompus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Aggressive($x, True)\nrule2: Jompus($x, True) → Large($x, True)\nrule3: Jompus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Aggressive($x, False)\nrule5: Dumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Earthy($x, False)\nrule7: Tumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Spicy($x, True)\nrule9: Yumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Opaque($x, True)\nrule11: Rompus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Dull($x, True)\nrule13: Impus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Feisty($x, True)\nrule15: Vumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Metallic($x, True)\nrule17: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Jompus($x, True) → Large($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Large('Rex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dumpus('Rex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Aggressive($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Aggressive('Rex', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Earthy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Dull($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Dull('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Vumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Rex', True)\nTumpus('Rex', True)\nYumpus('Rex', True)\nRompus('Rex', True)\nImpus('Rex', True)\nVumpus('Rex', True)\nNumpus('Rex', True)\nLarge('Rex', True)\nAggressive('Rex', False)\nEarthy('Rex', False)\nSpicy('Rex', True)\nOpaque('Rex', True)\nDull('Rex', True)\nFeisty('Rex', True)\nMetallic('Rex', True)\nZumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Rex', False)\nAccording to the implied fact: Numpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-143_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Impuses are floral. Impuses are dumpuses. Dumpuses are not temperate. Dumpuses are vumpuses. Vumpuses are mean. Yumpuses are not dull. Yumpuses are wumpuses. Wumpuses are blue. Every wumpus is a jompus. Every jompus is not luminous. Each tumpus is not blue. Every jompus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nFloral($x, bool) ::: Is x floral?\nTemperate($x, bool) ::: Is x temperate?\nBlue($x, bool) ::: Is x blue?\nLuminous($x, bool) ::: Is x luminous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Floral($x, True)\nrule2: Impus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Temperate($x, False)\nrule4: Dumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Mean($x, True)\nrule6: Yumpus($x, True) → Dull($x, False)\nrule7: Yumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Blue($x, True)\nrule9: Wumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Luminous($x, False)\nrule11: Tumpus($x, True) → Blue($x, False)\nrule12: Jompus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Yumpus($x, True) → Dull($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Luminous($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nJompus('Fae', True)\nDull('Fae', False)\nBlue('Fae', True)\nLuminous('Fae', False)\nZumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', True)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-168_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Jompuses are not bright. Jompuses are zumpuses. Zumpuses are nervous. Every impus is not nervous. Zumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBright($x, bool) ::: Is x bright?\nNervous($x, bool) ::: Is x nervous?\nStella($x, bool) ::: Does x belong to Stellas?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bright($x, False)\nrule2: Jompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Nervous($x, True)\nrule4: Impus($x, True) → Nervous($x, False)\nrule5: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Zumpus($x, True) → Nervous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nFinally, we obtain following implied facts:\nNervous('Stella', True)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Wumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Stella', False)\nAccording to the implied fact: Wumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-154_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is an impus. Every yumpus is not sour. Yumpuses are jompuses. Jompuses are not transparent. Each jompus is a vumpus. Every vumpus is wooden. Every rompus is not cold. Vumpuses are dumpuses. Dumpuses are not shy. Dumpuses are zumpuses. Each zumpus is brown. Each zumpus is a tumpus. Every tumpus is floral. Every tumpus is an impus. Impuses are cold. Impuses are numpuses. Each numpus is dull. Numpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nShy($x, bool) ::: Is x shy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nImpus($x, bool) ::: Does x belong to Impuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nImpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Sour($x, False)\nrule2: Yumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Transparent($x, False)\nrule4: Jompus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Wooden($x, True)\nrule6: Rompus($x, True) → Cold($x, False)\nrule7: Vumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Shy($x, False)\nrule9: Dumpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Brown($x, True)\nrule11: Zumpus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Floral($x, True)\nrule13: Tumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Cold($x, True)\nrule15: Impus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Dull($x, True)\nrule17: Numpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Impus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nCold('Alex', True)\nDull('Alex', True)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Numpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNumpus('Alex', True)\nAccording to the implied fact: Numpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-189_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a yumpus. Jompuses are opaque. Jompuses are numpuses. Numpuses are not blue. Every numpus is a rompus. Each rompus is cold. Rompuses are yumpuses. Every zumpus is not happy. Each yumpus is large. Each yumpus is a tumpus. Each tumpus is bright. Tumpuses are impuses. Impuses are happy. Impuses are dumpuses. Dumpuses are not luminous. Each dumpus is a vumpus. Each vumpus is floral. Vumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nOpaque($x, bool) ::: Is x opaque?\nBlue($x, bool) ::: Is x blue?\nCold($x, bool) ::: Is x cold?\nLarge($x, bool) ::: Is x large?\nBright($x, bool) ::: Is x bright?\nHappy($x, bool) ::: Is x happy?\nLuminous($x, bool) ::: Is x luminous?\nFloral($x, bool) ::: Is x floral?\n\nWe have following known facts from the context:\nYumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Opaque($x, True)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Blue($x, False)\nrule4: Numpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Cold($x, True)\nrule6: Rompus($x, True) → Yumpus($x, True)\nrule7: Zumpus($x, True) → Happy($x, False)\nrule8: Yumpus($x, True) → Large($x, True)\nrule9: Yumpus($x, True) → Tumpus($x, True)\nrule10: Tumpus($x, True) → Bright($x, True)\nrule11: Tumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Happy($x, True)\nrule13: Impus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Luminous($x, False)\nrule15: Dumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Floral($x, True)\nrule17: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Yumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Bright($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Bright('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Happy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Happy('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Luminous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Floral($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Floral('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Polly', True)\nImpus('Polly', True)\nDumpus('Polly', True)\nVumpus('Polly', True)\nLarge('Polly', True)\nBright('Polly', True)\nHappy('Polly', True)\nLuminous('Polly', False)\nFloral('Polly', True)\nWumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Polly', True)\nAccording to the implied fact: Bright('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-9_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a numpus. Every wumpus is not angry. Yumpuses are not nervous. Each wumpus is a tumpus. Each tumpus is temperate. Every tumpus is a numpus. Numpuses are nervous. Numpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAngry($x, bool) ::: Is x angry?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nNumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Angry($x, False)\nrule2: Yumpus($x, True) → Nervous($x, False)\nrule3: Wumpus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Temperate($x, True)\nrule5: Tumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Nervous($x, True)\nrule7: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Numpus($x, True) → Nervous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nFinally, we obtain following implied facts:\nNervous('Wren', True)\nZumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Wren', False)\nAccording to the implied fact: Nervous('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-111_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a rompus. Every yumpus is metallic. Every yumpus is a tumpus. Each tumpus is orange. Every tumpus is a rompus. Each rompus is sweet. Rompuses are wumpuses. Wumpuses are not amenable. Each wumpus is a jompus. Every impus is not large. Jompuses are earthy. Jompuses are dumpuses. Every dumpus is happy. Dumpuses are numpuses. Each numpus is large. Numpuses are vumpuses. Vumpuses are not transparent. Vumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nAmenable($x, bool) ::: Is x amenable?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nEarthy($x, bool) ::: Is x earthy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Metallic($x, True)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Orange($x, True)\nrule4: Tumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Sweet($x, True)\nrule6: Rompus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Amenable($x, False)\nrule8: Wumpus($x, True) → Jompus($x, True)\nrule9: Impus($x, True) → Large($x, False)\nrule10: Jompus($x, True) → Earthy($x, True)\nrule11: Jompus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Happy($x, True)\nrule13: Dumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Large($x, True)\nrule15: Numpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Transparent($x, False)\nrule17: Vumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Amenable($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Amenable('Stella', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Jompus($x, True) → Earthy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Earthy('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Happy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Happy('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Large($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Transparent($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Transparent('Stella', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Stella', True)\nJompus('Stella', True)\nDumpus('Stella', True)\nNumpus('Stella', True)\nVumpus('Stella', True)\nSweet('Stella', True)\nAmenable('Stella', False)\nEarthy('Stella', True)\nHappy('Stella', True)\nLarge('Stella', True)\nTransparent('Stella', False)\nZumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Stella', False)\nAccording to the implied fact: Dumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-482_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a wumpus. Every numpus is not luminous. Each impus is floral. Each impus is a tumpus. Tumpuses are not temperate. Each tumpus is a vumpus. Vumpuses are feisty. Each vumpus is a wumpus. Wumpuses are bright. Wumpuses are rompuses. Rompuses are transparent. Rompuses are zumpuses. Every zumpus is small. Each zumpus is a yumpus. Yumpuses are red. Every yumpus is a jompus. Jompuses are luminous. Jompuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nRed($x, bool) ::: Is x red?\nJompus($x, bool) ::: Does x belong to Jompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nWumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Luminous($x, False)\nrule2: Impus($x, True) → Floral($x, True)\nrule3: Impus($x, True) → Tumpus($x, True)\nrule4: Tumpus($x, True) → Temperate($x, False)\nrule5: Tumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Feisty($x, True)\nrule7: Vumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Bright($x, True)\nrule9: Wumpus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Transparent($x, True)\nrule11: Rompus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Small($x, True)\nrule13: Zumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Red($x, True)\nrule15: Yumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Luminous($x, True)\nrule17: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Wumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Transparent($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Red($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Red('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Luminous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Luminous('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nZumpus('Alex', True)\nYumpus('Alex', True)\nJompus('Alex', True)\nBright('Alex', True)\nTransparent('Alex', True)\nSmall('Alex', True)\nRed('Alex', True)\nLuminous('Alex', True)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Alex', False)\nAccording to the implied fact: Red('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-84_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Each vumpus is opaque. Vumpuses are jompuses. Every jompus is floral. Jompuses are wumpuses. Wumpuses are not metallic. Wumpuses are zumpuses. Each tumpus is not shy. Every zumpus is shy. Each zumpus is a numpus. Each numpus is red. Every numpus is a yumpus. Yumpuses are not mean. Yumpuses are dumpuses. Dumpuses are not large. Each dumpus is a rompus. Every rompus is bright. Every rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nShy($x, bool) ::: Is x shy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Opaque($x, True)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Floral($x, True)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Metallic($x, False)\nrule6: Wumpus($x, True) → Zumpus($x, True)\nrule7: Tumpus($x, True) → Shy($x, False)\nrule8: Zumpus($x, True) → Shy($x, True)\nrule9: Zumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Red($x, True)\nrule11: Numpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Mean($x, False)\nrule13: Yumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Large($x, False)\nrule15: Dumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Bright($x, True)\nrule17: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Metallic($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Metallic('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Zumpus($x, True) → Shy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Shy('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Red($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Mean($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Mean('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nWumpus('Fae', True)\nZumpus('Fae', True)\nNumpus('Fae', True)\nYumpus('Fae', True)\nDumpus('Fae', True)\nRompus('Fae', True)\nOpaque('Fae', True)\nFloral('Fae', True)\nMetallic('Fae', False)\nShy('Fae', True)\nRed('Fae', True)\nMean('Fae', False)\nLarge('Fae', False)\nBright('Fae', True)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Fae', True)\nAccording to the implied fact: Zumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-24_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Vumpuses are spicy. Dumpuses are not spicy. Each vumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSpicy($x, bool) ::: Is x spicy?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Spicy($x, True)\nrule2: Dumpus($x, True) → Spicy($x, False)\nrule3: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule3: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nSpicy('Alex', True)\nTumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is a vumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Alex', True)\nAccording to the known fact: Vumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-312_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a zumpus. Each impus is transparent. Each impus is a numpus. Each numpus is bitter. Each numpus is a zumpus. Zumpuses are not dull. Zumpuses are wumpuses. Wumpuses are not blue. Wumpuses are rompuses. Vumpuses are not luminous. Each rompus is luminous. Rompuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBlue($x, bool) ::: Is x blue?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nZumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Transparent($x, True)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Bitter($x, True)\nrule4: Numpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Dull($x, False)\nrule6: Zumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Blue($x, False)\nrule8: Wumpus($x, True) → Rompus($x, True)\nrule9: Vumpus($x, True) → Luminous($x, False)\nrule10: Rompus($x, True) → Luminous($x, True)\nrule11: Rompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Dull($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Wumpus('Sam', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Blue($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Blue('Sam', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Rompus($x, True) → Luminous($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Luminous('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nWumpus('Sam', True)\nRompus('Sam', True)\nDull('Sam', False)\nBlue('Sam', False)\nLuminous('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sam', True)\nAccording to the implied fact: Tumpus('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-93_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Every wumpus is wooden. Wumpuses are jompuses. Each jompus is large. Each jompus is a tumpus. Every vumpus is not blue. Tumpuses are happy. Tumpuses are dumpuses. Dumpuses are dull. Every dumpus is an impus. Each impus is amenable. Every impus is a zumpus. Every zumpus is spicy. Every zumpus is a numpus. Numpuses are blue. Each numpus is a yumpus. Every yumpus is fruity. Yumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLarge($x, bool) ::: Is x large?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBlue($x, bool) ::: Is x blue?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSpicy($x, bool) ::: Is x spicy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Wooden($x, True)\nrule2: Wumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Large($x, True)\nrule4: Jompus($x, True) → Tumpus($x, True)\nrule5: Vumpus($x, True) → Blue($x, False)\nrule6: Tumpus($x, True) → Happy($x, True)\nrule7: Tumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Dull($x, True)\nrule9: Dumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Amenable($x, True)\nrule11: Impus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Spicy($x, True)\nrule13: Zumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Blue($x, True)\nrule15: Numpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Fruity($x, True)\nrule17: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Tumpus($x, True) → Happy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Amenable($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Blue($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Blue('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Alex', True)\nImpus('Alex', True)\nZumpus('Alex', True)\nNumpus('Alex', True)\nYumpus('Alex', True)\nHappy('Alex', True)\nDull('Alex', True)\nAmenable('Alex', True)\nSpicy('Alex', True)\nBlue('Alex', True)\nFruity('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Alex', True)\nAccording to the known fact: Tumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-450_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a vumpus. Vumpuses are luminous. Every vumpus is a wumpus. Wumpuses are not bright. Each wumpus is an impus. Impuses are brown. Impuses are jompuses. Jompuses are bitter. Jompuses are yumpuses. Each yumpus is not nervous. Each yumpus is a tumpus. Dumpuses are bright. Tumpuses are angry. Every tumpus is a numpus. Numpuses are not cold. Each numpus is a zumpus. Zumpuses are not transparent. Every zumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBitter($x, bool) ::: Is x bitter?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNervous($x, bool) ::: Is x nervous?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nVumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Luminous($x, True)\nrule2: Vumpus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Bright($x, False)\nrule4: Wumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Brown($x, True)\nrule6: Impus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Bitter($x, True)\nrule8: Jompus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Nervous($x, False)\nrule10: Yumpus($x, True) → Tumpus($x, True)\nrule11: Dumpus($x, True) → Bright($x, True)\nrule12: Tumpus($x, True) → Angry($x, True)\nrule13: Tumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Cold($x, False)\nrule15: Numpus($x, True) → Zumpus($x, True)\nrule16: Zumpus($x, True) → Transparent($x, False)\nrule17: Zumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Luminous($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Luminous('Wren', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Bright($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Bitter($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bitter('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Nervous($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Nervous('Wren', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule12: Tumpus($x, True) → Angry($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Cold($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Zumpus($x, True) → Transparent($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nImpus('Wren', True)\nJompus('Wren', True)\nYumpus('Wren', True)\nTumpus('Wren', True)\nNumpus('Wren', True)\nZumpus('Wren', True)\nLuminous('Wren', True)\nBright('Wren', False)\nBrown('Wren', True)\nBitter('Wren', True)\nNervous('Wren', False)\nAngry('Wren', True)\nCold('Wren', False)\nTransparent('Wren', False)\nRompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Wren', True)\nAccording to the implied fact: Nervous('Wren', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-94_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Jompuses are bright. Every jompus is a wumpus. Each wumpus is temperate. Wumpuses are zumpuses. Zumpuses are transparent. Zumpuses are numpuses. Every numpus is not fruity. Every numpus is a yumpus. Yumpuses are sweet. Yumpuses are tumpuses. Each tumpus is liquid. Tumpuses are vumpuses. Vumpuses are large. Every vumpus is an impus. Impuses are aggressive. Each impus is a dumpus. Rompuses are fruity.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTemperate($x, bool) ::: Is x temperate?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bright($x, True)\nrule2: Jompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Temperate($x, True)\nrule4: Wumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Transparent($x, True)\nrule6: Zumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Fruity($x, False)\nrule8: Numpus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Sweet($x, True)\nrule10: Yumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Liquid($x, True)\nrule12: Tumpus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Large($x, True)\nrule14: Vumpus($x, True) → Impus($x, True)\nrule15: Impus($x, True) → Aggressive($x, True)\nrule16: Impus($x, True) → Dumpus($x, True)\nrule17: Rompus($x, True) → Fruity($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Jompus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Liquid($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Aggressive($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nWumpus('Fae', True)\nZumpus('Fae', True)\nNumpus('Fae', True)\nYumpus('Fae', True)\nTumpus('Fae', True)\nVumpus('Fae', True)\nImpus('Fae', True)\nBright('Fae', True)\nTemperate('Fae', True)\nTransparent('Fae', True)\nFruity('Fae', False)\nSweet('Fae', True)\nLiquid('Fae', True)\nLarge('Fae', True)\nAggressive('Fae', True)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Fae', False)\nAccording to the implied fact: Bright('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-166_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a numpus. Impuses are dull. Each impus is a yumpus. Yumpuses are opaque. Each yumpus is a rompus. Every rompus is metallic. Every rompus is a zumpus. Every jompus is temperate. Zumpuses are large. Zumpuses are numpuses. Numpuses are earthy. Numpuses are wumpuses. Every wumpus is bitter. Every wumpus is a dumpus. Dumpuses are aggressive. Dumpuses are tumpuses. Tumpuses are not temperate. Tumpuses are vumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nNumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Dull($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Opaque($x, True)\nrule4: Yumpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Metallic($x, True)\nrule6: Rompus($x, True) → Zumpus($x, True)\nrule7: Jompus($x, True) → Temperate($x, True)\nrule8: Zumpus($x, True) → Large($x, True)\nrule9: Zumpus($x, True) → Numpus($x, True)\nrule10: Numpus($x, True) → Earthy($x, True)\nrule11: Numpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Bitter($x, True)\nrule13: Wumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Aggressive($x, True)\nrule15: Dumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Temperate($x, False)\nrule17: Tumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Numpus($x, True) → Earthy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Earthy('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Aggressive($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Aggressive('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Temperate($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Sally', True)\nDumpus('Sally', True)\nTumpus('Sally', True)\nEarthy('Sally', True)\nBitter('Sally', True)\nAggressive('Sally', True)\nTemperate('Sally', False)\nVumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not bitter.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBitter('Sally', False)\nAccording to the implied fact: Bitter('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-490_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Every numpus is not small. Every numpus is a rompus. Every rompus is dull. Rompuses are zumpuses. Zumpuses are not red. Zumpuses are yumpuses. Yumpuses are transparent. Yumpuses are tumpuses. Every tumpus is nervous. Tumpuses are impuses. Each impus is hot. Impuses are vumpuses. Wumpuses are not nervous. Every vumpus is mean. Every vumpus is a dumpus. Dumpuses are sweet. Each dumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nHot($x, bool) ::: Is x hot?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Small($x, False)\nrule2: Numpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Dull($x, True)\nrule4: Rompus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Red($x, False)\nrule6: Zumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Transparent($x, True)\nrule8: Yumpus($x, True) → Tumpus($x, True)\nrule9: Tumpus($x, True) → Nervous($x, True)\nrule10: Tumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Hot($x, True)\nrule12: Impus($x, True) → Vumpus($x, True)\nrule13: Wumpus($x, True) → Nervous($x, False)\nrule14: Vumpus($x, True) → Mean($x, True)\nrule15: Vumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Sweet($x, True)\nrule17: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Yumpus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Nervous('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Vumpus($x, True) → Mean($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Mean('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Sweet($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sweet('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nImpus('Sally', True)\nVumpus('Sally', True)\nDumpus('Sally', True)\nTransparent('Sally', True)\nNervous('Sally', True)\nHot('Sally', True)\nMean('Sally', True)\nSweet('Sally', True)\nJompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Sally', True)\nAccording to the implied fact: Dumpus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-168_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Tumpuses are sour. Tumpuses are dumpuses. Dumpuses are kind. Each dumpus is a yumpus. Each yumpus is orange. Each yumpus is a rompus. Each zumpus is not kind.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSour($x, bool) ::: Is x sour?\nKind($x, bool) ::: Is x kind?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Sour($x, True)\nrule2: Tumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Kind($x, True)\nrule4: Dumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Orange($x, True)\nrule6: Yumpus($x, True) → Rompus($x, True)\nrule7: Zumpus($x, True) → Kind($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Tumpus($x, True) → Sour($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Sour('Max', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Dumpus($x, True) → Kind($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Kind('Max', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Orange('Max', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nDumpus('Max', True)\nYumpus('Max', True)\nSour('Max', True)\nKind('Max', True)\nOrange('Max', True)\nRompus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is rompus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Max', True)\nAccording to the implied fact: Rompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-113_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Each wumpus is floral. Wumpuses are rompuses. Every rompus is blue. Rompuses are yumpuses. Every yumpus is large. Yumpuses are numpuses. Each zumpus is not luminous. Every numpus is not bright. Each numpus is a dumpus. Dumpuses are not opaque. Dumpuses are vumpuses. Each vumpus is not cold. Vumpuses are jompuses. Every jompus is aggressive. Jompuses are impuses. Each impus is luminous. Impuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFloral($x, bool) ::: Is x floral?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBlue($x, bool) ::: Is x blue?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLuminous($x, bool) ::: Is x luminous?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nImpus($x, bool) ::: Does x belong to Impuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Floral($x, True)\nrule2: Wumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Blue($x, True)\nrule4: Rompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Large($x, True)\nrule6: Yumpus($x, True) → Numpus($x, True)\nrule7: Zumpus($x, True) → Luminous($x, False)\nrule8: Numpus($x, True) → Bright($x, False)\nrule9: Numpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Opaque($x, False)\nrule11: Dumpus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Cold($x, False)\nrule13: Vumpus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Aggressive($x, True)\nrule15: Jompus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Luminous($x, True)\nrule17: Impus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule14: Jompus($x, True) → Aggressive($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Luminous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Fae', True)\nAggressive('Fae', True)\nLuminous('Fae', True)\nTumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', True)\nAccording to the implied fact: Tumpus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-367_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a jompus. Dumpuses are not floral. Dumpuses are jompuses. Jompuses are small. Impuses are not small.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nFloral($x, bool) ::: Is x floral?\nSmall($x, bool) ::: Is x small?\n\nWe have following known facts from the context:\nJompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Floral($x, False)\nrule2: Dumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Small($x, True)\nrule4: Impus($x, True) → Small($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Jompus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule3\n\nFinally, we obtain following implied facts:\nSmall('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max is jompus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Max', True)\nAccording to the known fact: Jompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-395_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a yumpus. Each vumpus is transparent. Vumpuses are yumpuses. Yumpuses are liquid. Yumpuses are dumpuses. Dumpuses are hot. Jompuses are floral. Each dumpus is a numpus. Numpuses are spicy. Numpuses are zumpuses. Each zumpus is small. Each zumpus is a rompus. Rompuses are not floral. Rompuses are wumpuses. Wumpuses are red. Wumpuses are tumpuses. Each tumpus is not aggressive. Every tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSpicy($x, bool) ::: Is x spicy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nYumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Transparent($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Liquid($x, True)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Hot($x, True)\nrule6: Jompus($x, True) → Floral($x, True)\nrule7: Dumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Spicy($x, True)\nrule9: Numpus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Small($x, True)\nrule11: Zumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Floral($x, False)\nrule13: Rompus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Red($x, True)\nrule15: Wumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Aggressive($x, False)\nrule17: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Hot($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Spicy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Spicy('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Small($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Small('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Floral($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Red($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Aggressive($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Aggressive('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nNumpus('Fae', True)\nZumpus('Fae', True)\nRompus('Fae', True)\nWumpus('Fae', True)\nTumpus('Fae', True)\nLiquid('Fae', True)\nHot('Fae', True)\nSpicy('Fae', True)\nSmall('Fae', True)\nFloral('Fae', False)\nRed('Fae', True)\nAggressive('Fae', False)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Fae', True)\nAccording to the implied fact: Red('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-438_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Every tumpus is floral. Tumpuses are jompuses. Jompuses are not opaque. Jompuses are vumpuses. Every vumpus is wooden. Vumpuses are numpuses. Each numpus is not dull. Each wumpus is not hot. Each numpus is a yumpus. Each yumpus is hot. Yumpuses are zumpuses. Every zumpus is feisty. Zumpuses are impuses. Impuses are not large. Impuses are dumpuses. Each dumpus is spicy. Dumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nFloral($x, bool) ::: Is x floral?\nJompus($x, bool) ::: Does x belong to Jompuses?\nOpaque($x, bool) ::: Is x opaque?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Floral($x, True)\nrule2: Tumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Opaque($x, False)\nrule4: Jompus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Wooden($x, True)\nrule6: Vumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Dull($x, False)\nrule8: Wumpus($x, True) → Hot($x, False)\nrule9: Numpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Hot($x, True)\nrule11: Yumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Feisty($x, True)\nrule13: Zumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Large($x, False)\nrule15: Impus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Spicy($x, True)\nrule17: Dumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Numpus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nZumpus('Alex', True)\nImpus('Alex', True)\nDumpus('Alex', True)\nDull('Alex', False)\nHot('Alex', True)\nFeisty('Alex', True)\nLarge('Alex', False)\nSpicy('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Alex', False)\nAccording to the implied fact: Large('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-134_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Tumpuses are red. Tumpuses are numpuses. Each numpus is not liquid. Every numpus is a zumpus. Every vumpus is not nervous. Every zumpus is opaque. Zumpuses are wumpuses. Wumpuses are not cold. Wumpuses are yumpuses. Each yumpus is sour. Every yumpus is an impus. Impuses are nervous. Impuses are rompuses. Each rompus is fruity. Rompuses are jompuses. Jompuses are not bright. Each jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRed($x, bool) ::: Is x red?\nLiquid($x, bool) ::: Is x liquid?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNervous($x, bool) ::: Is x nervous?\nSour($x, bool) ::: Is x sour?\nBright($x, bool) ::: Is x bright?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Red($x, True)\nrule2: Tumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Liquid($x, False)\nrule4: Numpus($x, True) → Zumpus($x, True)\nrule5: Vumpus($x, True) → Nervous($x, False)\nrule6: Zumpus($x, True) → Opaque($x, True)\nrule7: Zumpus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Cold($x, False)\nrule9: Wumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Sour($x, True)\nrule11: Yumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Nervous($x, True)\nrule13: Impus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Fruity($x, True)\nrule15: Rompus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Bright($x, False)\nrule17: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Liquid($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Liquid('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule6: Zumpus($x, True) → Opaque($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Cold($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Cold('Fae', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Sour($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sour('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Nervous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Nervous('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Bright($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Fae', True)\nWumpus('Fae', True)\nYumpus('Fae', True)\nImpus('Fae', True)\nRompus('Fae', True)\nJompus('Fae', True)\nLiquid('Fae', False)\nOpaque('Fae', True)\nCold('Fae', False)\nSour('Fae', True)\nNervous('Fae', True)\nFruity('Fae', True)\nBright('Fae', False)\nDumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Fae', False)\nAccording to the implied fact: Nervous('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-415_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a rompus. Every vumpus is not orange. Each vumpus is a dumpus. Dumpuses are opaque. Dumpuses are yumpuses. Numpuses are not happy. Each yumpus is bright. Yumpuses are rompuses. Rompuses are large. Rompuses are impuses. Impuses are not cold. Every impus is a jompus. Jompuses are happy. Each jompus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nHappy($x, bool) ::: Is x happy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\n\nWe have following known facts from the context:\nRompus('Max', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Orange($x, False)\nrule2: Vumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Opaque($x, True)\nrule4: Dumpus($x, True) → Yumpus($x, True)\nrule5: Numpus($x, True) → Happy($x, False)\nrule6: Yumpus($x, True) → Bright($x, True)\nrule7: Yumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Large($x, True)\nrule9: Rompus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Cold($x, False)\nrule11: Impus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Happy($x, True)\nrule13: Jompus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Rompus($x, True) → Large($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Large('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Cold($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Happy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nFinally, we obtain following implied facts:\nImpus('Max', True)\nJompus('Max', True)\nLarge('Max', True)\nCold('Max', False)\nHappy('Max', True)\nZumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', False)\nAccording to the implied fact: Impus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-59_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a dumpus. Each dumpus is transparent. Dumpuses are tumpuses. Tumpuses are luminous. Tumpuses are jompuses. Each jompus is not bright. Every jompus is a yumpus. Each yumpus is floral. Yumpuses are wumpuses. Wumpuses are orange. Wumpuses are zumpuses. Every zumpus is not large. Zumpuses are numpuses. Vumpuses are bright.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nDumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Transparent($x, True)\nrule2: Dumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Luminous($x, True)\nrule4: Tumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Bright($x, False)\nrule6: Jompus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Floral($x, True)\nrule8: Yumpus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Orange($x, True)\nrule10: Wumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Large($x, False)\nrule12: Zumpus($x, True) → Numpus($x, True)\nrule13: Vumpus($x, True) → Bright($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Transparent($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Luminous($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Luminous('Fae', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Bright($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Orange($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nTumpus('Fae', True)\nJompus('Fae', True)\nYumpus('Fae', True)\nWumpus('Fae', True)\nZumpus('Fae', True)\nTransparent('Fae', True)\nLuminous('Fae', True)\nBright('Fae', False)\nFloral('Fae', True)\nOrange('Fae', True)\nLarge('Fae', False)\nNumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Fae', False)\nAccording to the implied fact: Large('Fae', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-370_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a numpus. Every zumpus is bitter. Every zumpus is an impus. Impuses are wooden. Impuses are wumpuses. Wumpuses are not small. Wumpuses are vumpuses. Each vumpus is earthy. Vumpuses are numpuses. Every numpus is transparent. Every numpus is a dumpus. Dumpuses are kind. Rompuses are not shy. Dumpuses are yumpuses. Every yumpus is dull. Each yumpus is a jompus. Jompuses are shy. Every jompus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBitter($x, bool) ::: Is x bitter?\nImpus($x, bool) ::: Does x belong to Impuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nEarthy($x, bool) ::: Is x earthy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nKind($x, bool) ::: Is x kind?\nRompus($x, bool) ::: Does x belong to Rompuses?\nShy($x, bool) ::: Is x shy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Bitter($x, True)\nrule2: Zumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Wooden($x, True)\nrule4: Impus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Small($x, False)\nrule6: Wumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Earthy($x, True)\nrule8: Vumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Transparent($x, True)\nrule10: Numpus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Kind($x, True)\nrule12: Rompus($x, True) → Shy($x, False)\nrule13: Dumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Dull($x, True)\nrule15: Yumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Shy($x, True)\nrule17: Jompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Numpus($x, True) → Transparent($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Transparent('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Kind($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Kind('Sam', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Yumpus('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Shy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Shy('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Tumpus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sam', True)\nYumpus('Sam', True)\nJompus('Sam', True)\nTransparent('Sam', True)\nKind('Sam', True)\nDull('Sam', True)\nShy('Sam', True)\nTumpus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sam', False)\nAccording to the implied fact: Tumpus('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-301_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a jompus. Dumpuses are happy. Each dumpus is a yumpus. Yumpuses are mean. Yumpuses are jompuses. Jompuses are not cold. Every jompus is a tumpus. Tumpuses are not opaque. Each tumpus is a numpus. Numpuses are bitter. Numpuses are rompuses. Rompuses are large. Rompuses are zumpuses. Wumpuses are not large.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMean($x, bool) ::: Is x mean?\nJompus($x, bool) ::: Does x belong to Jompuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Happy($x, True)\nrule2: Dumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Mean($x, True)\nrule4: Yumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Cold($x, False)\nrule6: Jompus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Opaque($x, False)\nrule8: Tumpus($x, True) → Numpus($x, True)\nrule9: Numpus($x, True) → Bitter($x, True)\nrule10: Numpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Large($x, True)\nrule12: Rompus($x, True) → Zumpus($x, True)\nrule13: Wumpus($x, True) → Large($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Cold($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Bitter($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bitter('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nNumpus('Sally', True)\nRompus('Sally', True)\nCold('Sally', False)\nOpaque('Sally', False)\nBitter('Sally', True)\nLarge('Sally', True)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Sally', True)\nAccording to the known fact: Jompus('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-24_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Each rompus is aggressive. Every rompus is a wumpus. Wumpuses are not bright. Wumpuses are impuses. Every impus is small. Numpuses are not temperate. Every impus is a dumpus. Every dumpus is nervous. Dumpuses are yumpuses. Yumpuses are temperate. Yumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRompus($x, bool) ::: Does x belong to Rompuses?\nAggressive($x, bool) ::: Is x aggressive?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nNervous($x, bool) ::: Is x nervous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Aggressive($x, True)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Bright($x, False)\nrule4: Wumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Small($x, True)\nrule6: Numpus($x, True) → Temperate($x, False)\nrule7: Impus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Nervous($x, True)\nrule9: Dumpus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Temperate($x, True)\nrule11: Yumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Nervous($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nDumpus('Stella', True)\nYumpus('Stella', True)\nSmall('Stella', True)\nNervous('Stella', True)\nTemperate('Stella', True)\nTumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Stella', False)\nAccording to the implied fact: Yumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-379_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Rompuses are floral. Every rompus is an impus. Impuses are not brown. Impuses are dumpuses. Dumpuses are hot. Dumpuses are yumpuses. Every tumpus is not hot.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nFloral($x, bool) ::: Is x floral?\nHot($x, bool) ::: Is x hot?\nBrown($x, bool) ::: Is x brown?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Floral($x, True)\nrule2: Rompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Brown($x, False)\nrule4: Impus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Hot($x, True)\nrule6: Dumpus($x, True) → Yumpus($x, True)\nrule7: Tumpus($x, True) → Hot($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Impus($x, True) → Brown($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Brown('Fae', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Hot($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nBrown('Fae', False)\nHot('Fae', True)\nYumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Fae', True)\nAccording to the implied fact: Brown('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-471_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a jompus. Every yumpus is not cold. Every yumpus is a tumpus. Tumpuses are not luminous. Tumpuses are jompuses. Jompuses are aggressive. Every jompus is a rompus. Every rompus is not transparent. Each rompus is an impus. Impuses are happy. Each impus is a numpus. Each numpus is not large. Numpuses are wumpuses. Every wumpus is brown. Every wumpus is a vumpus. Each vumpus is fruity. Vumpuses are zumpuses. Each dumpus is not brown.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLuminous($x, bool) ::: Is x luminous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nRompus($x, bool) ::: Does x belong to Rompuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBrown($x, bool) ::: Is x brown?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nJompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Cold($x, False)\nrule2: Yumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Luminous($x, False)\nrule4: Tumpus($x, True) → Jompus($x, True)\nrule5: Jompus($x, True) → Aggressive($x, True)\nrule6: Jompus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Transparent($x, False)\nrule8: Rompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Happy($x, True)\nrule10: Impus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Large($x, False)\nrule12: Numpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Brown($x, True)\nrule14: Wumpus($x, True) → Vumpus($x, True)\nrule15: Vumpus($x, True) → Fruity($x, True)\nrule16: Vumpus($x, True) → Zumpus($x, True)\nrule17: Dumpus($x, True) → Brown($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Jompus($x, True) → Aggressive($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Aggressive('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Transparent($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Happy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Happy('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Brown($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nRompus('Alex', True)\nImpus('Alex', True)\nNumpus('Alex', True)\nWumpus('Alex', True)\nVumpus('Alex', True)\nAggressive('Alex', True)\nTransparent('Alex', False)\nHappy('Alex', True)\nLarge('Alex', False)\nBrown('Alex', True)\nFruity('Alex', True)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not happy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHappy('Alex', False)\nAccording to the implied fact: Happy('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-6_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Every jompus is not happy. Jompuses are dumpuses. Every dumpus is dull. Every dumpus is a zumpus. Every zumpus is transparent. Zumpuses are impuses. Impuses are cold. Impuses are yumpuses. Every yumpus is sweet. Yumpuses are numpuses. Numpuses are brown. Every numpus is a wumpus. Each wumpus is not fruity. Every wumpus is a vumpus. Rompuses are fruity. Vumpuses are not wooden. Vumpuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nCold($x, bool) ::: Is x cold?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFruity($x, bool) ::: Is x fruity?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Happy($x, False)\nrule2: Jompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Dull($x, True)\nrule4: Dumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Transparent($x, True)\nrule6: Zumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Cold($x, True)\nrule8: Impus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Sweet($x, True)\nrule10: Yumpus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Brown($x, True)\nrule12: Numpus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Fruity($x, False)\nrule14: Wumpus($x, True) → Vumpus($x, True)\nrule15: Rompus($x, True) → Fruity($x, True)\nrule16: Vumpus($x, True) → Wooden($x, False)\nrule17: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Transparent($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Transparent('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Cold($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Cold('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Yumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Numpus($x, True) → Brown($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Brown('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Fruity($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Vumpus($x, True) → Wooden($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Wooden('Wren', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nYumpus('Wren', True)\nNumpus('Wren', True)\nWumpus('Wren', True)\nVumpus('Wren', True)\nTransparent('Wren', True)\nCold('Wren', True)\nSweet('Wren', True)\nBrown('Wren', True)\nFruity('Wren', False)\nWooden('Wren', False)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Wren', True)\nAccording to the implied fact: Yumpus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-195_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Every impus is opaque. Impuses are yumpuses. Yumpuses are floral. Each yumpus is a vumpus. Vumpuses are spicy. Each vumpus is a rompus. Each wumpus is nervous. Rompuses are not nervous. Every rompus is a zumpus. Zumpuses are metallic. Zumpuses are jompuses. Jompuses are not small. Every jompus is a tumpus. Every tumpus is dull. Tumpuses are dumpuses. Dumpuses are not angry. Every dumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFloral($x, bool) ::: Is x floral?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nNervous($x, bool) ::: Is x nervous?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Opaque($x, True)\nrule2: Impus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Floral($x, True)\nrule4: Yumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Spicy($x, True)\nrule6: Vumpus($x, True) → Rompus($x, True)\nrule7: Wumpus($x, True) → Nervous($x, True)\nrule8: Rompus($x, True) → Nervous($x, False)\nrule9: Rompus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Metallic($x, True)\nrule11: Zumpus($x, True) → Jompus($x, True)\nrule12: Jompus($x, True) → Small($x, False)\nrule13: Jompus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Dull($x, True)\nrule15: Tumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Angry($x, False)\nrule17: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Floral($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Spicy('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Rompus($x, True) → Nervous($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Nervous('Stella', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Metallic($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Metallic('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Jompus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Dull($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dull('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Angry($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Angry('Stella', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Stella', True)\nRompus('Stella', True)\nZumpus('Stella', True)\nJompus('Stella', True)\nTumpus('Stella', True)\nDumpus('Stella', True)\nFloral('Stella', True)\nSpicy('Stella', True)\nNervous('Stella', False)\nMetallic('Stella', True)\nSmall('Stella', False)\nDull('Stella', True)\nAngry('Stella', False)\nNumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Stella', True)\nAccording to the implied fact: Floral('Stella', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-133_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Each vumpus is metallic. Every vumpus is a yumpus. Yumpuses are not shy. Each yumpus is a tumpus. Every tumpus is not large. Wumpuses are shy. Each tumpus is a numpus. Numpuses are not dull. Numpuses are dumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Metallic($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Shy($x, False)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Large($x, False)\nrule6: Wumpus($x, True) → Shy($x, True)\nrule7: Tumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Dull($x, False)\nrule9: Numpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nNumpus('Alex', True)\nShy('Alex', False)\nLarge('Alex', False)\nDull('Alex', False)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Alex', True)\nAccording to the implied fact: Large('Alex', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-112_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Jompuses are dull. Wumpuses are cold. Jompuses are vumpuses. Vumpuses are shy. Vumpuses are tumpuses. Tumpuses are liquid. Every tumpus is a numpus. Each numpus is not amenable. Numpuses are dumpuses. Each dumpus is not cold. Dumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nShy($x, bool) ::: Is x shy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLiquid($x, bool) ::: Is x liquid?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nAmenable($x, bool) ::: Is x amenable?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Dull($x, True)\nrule2: Wumpus($x, True) → Cold($x, True)\nrule3: Jompus($x, True) → Vumpus($x, True)\nrule4: Vumpus($x, True) → Shy($x, True)\nrule5: Vumpus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Liquid($x, True)\nrule7: Tumpus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Amenable($x, False)\nrule9: Numpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Cold($x, False)\nrule11: Dumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Tumpus($x, True) → Liquid($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Liquid('Polly', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Numpus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Amenable($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Cold($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Polly', True)\nDumpus('Polly', True)\nLiquid('Polly', True)\nAmenable('Polly', False)\nCold('Polly', False)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly does not belong to Dumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Polly', False)\nAccording to the implied fact: Dumpus('Polly', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-330_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Zumpuses are not sour. Every zumpus is a yumpus. Yumpuses are transparent. Each yumpus is a vumpus. Vumpuses are not dull. Vumpuses are dumpuses. Each dumpus is not happy. Dumpuses are jompuses. Every jompus is luminous. Every jompus is a numpus. Numpuses are not floral. Numpuses are rompuses. Every wumpus is not amenable. Every rompus is amenable. Rompuses are tumpuses. Each tumpus is not hot. Each tumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nSour($x, bool) ::: Is x sour?\nHappy($x, bool) ::: Is x happy?\nLuminous($x, bool) ::: Is x luminous?\nFloral($x, bool) ::: Is x floral?\nAmenable($x, bool) ::: Is x amenable?\nHot($x, bool) ::: Is x hot?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Sour($x, False)\nrule2: Zumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Transparent($x, True)\nrule4: Yumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Dull($x, False)\nrule6: Vumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Happy($x, False)\nrule8: Dumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Luminous($x, True)\nrule10: Jompus($x, True) → Numpus($x, True)\nrule11: Numpus($x, True) → Floral($x, False)\nrule12: Numpus($x, True) → Rompus($x, True)\nrule13: Wumpus($x, True) → Amenable($x, False)\nrule14: Rompus($x, True) → Amenable($x, True)\nrule15: Rompus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Hot($x, False)\nrule17: Tumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Numpus($x, True) → Floral($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Rompus($x, True) → Amenable($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Amenable('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Hot($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Fae', True)\nTumpus('Fae', True)\nFloral('Fae', False)\nAmenable('Fae', True)\nHot('Fae', False)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not tumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Fae', False)\nAccording to the implied fact: Tumpus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-92_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a yumpus. Every jompus is happy. Each jompus is a dumpus. Dumpuses are not blue. Dumpuses are tumpuses. Every tumpus is not bright. Each tumpus is a yumpus. Yumpuses are opaque. Yumpuses are zumpuses. Each zumpus is kind. Every zumpus is an impus. Each impus is temperate. Each impus is a vumpus. Rompuses are floral. Each vumpus is large. Vumpuses are numpuses. Numpuses are not floral. Numpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBlue($x, bool) ::: Is x blue?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nYumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Happy($x, True)\nrule2: Jompus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Blue($x, False)\nrule4: Dumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Bright($x, False)\nrule6: Tumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Opaque($x, True)\nrule8: Yumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Kind($x, True)\nrule10: Zumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Temperate($x, True)\nrule12: Impus($x, True) → Vumpus($x, True)\nrule13: Rompus($x, True) → Floral($x, True)\nrule14: Vumpus($x, True) → Large($x, True)\nrule15: Vumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Floral($x, False)\nrule17: Numpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Yumpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Kind($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Vumpus($x, True) → Large($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Large('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Floral($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Floral('Stella', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nImpus('Stella', True)\nVumpus('Stella', True)\nNumpus('Stella', True)\nOpaque('Stella', True)\nKind('Stella', True)\nTemperate('Stella', True)\nLarge('Stella', True)\nFloral('Stella', False)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Stella', False)\nAccording to the implied fact: Impus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-113_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a numpus. Each tumpus is not dull. Each vumpus is not kind. Every tumpus is a dumpus. Dumpuses are large. Every dumpus is a numpus. Every numpus is kind. Numpuses are jompuses. Jompuses are transparent. Each jompus is a yumpus. Yumpuses are blue. Yumpuses are impuses. Every impus is not feisty. Every impus is a zumpus. Each zumpus is not metallic. Each zumpus is a wumpus. Wumpuses are spicy. Each wumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBlue($x, bool) ::: Is x blue?\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMetallic($x, bool) ::: Is x metallic?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Dull($x, False)\nrule2: Vumpus($x, True) → Kind($x, False)\nrule3: Tumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Large($x, True)\nrule5: Dumpus($x, True) → Numpus($x, True)\nrule6: Numpus($x, True) → Kind($x, True)\nrule7: Numpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Transparent($x, True)\nrule9: Jompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Blue($x, True)\nrule11: Yumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Feisty($x, False)\nrule13: Impus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Metallic($x, False)\nrule15: Zumpus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Spicy($x, True)\nrule17: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Numpus($x, True) → Kind($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Kind('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Transparent('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Yumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Yumpus('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Blue($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Blue('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Feisty($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Feisty('Rex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Metallic($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Spicy($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Rex', True)\nYumpus('Rex', True)\nImpus('Rex', True)\nZumpus('Rex', True)\nWumpus('Rex', True)\nKind('Rex', True)\nTransparent('Rex', True)\nBlue('Rex', True)\nFeisty('Rex', False)\nMetallic('Rex', False)\nSpicy('Rex', True)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Rex', False)\nAccording to the implied fact: Zumpus('Rex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-468_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a wumpus. Vumpuses are small. Every vumpus is a yumpus. Each yumpus is wooden. Each yumpus is a wumpus. Every wumpus is mean. Wumpuses are dumpuses. Every tumpus is not sweet. Each dumpus is sweet. Each dumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nMean($x, bool) ::: Is x mean?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSweet($x, bool) ::: Is x sweet?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nWumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Small($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Wooden($x, True)\nrule4: Yumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Mean($x, True)\nrule6: Wumpus($x, True) → Dumpus($x, True)\nrule7: Tumpus($x, True) → Sweet($x, False)\nrule8: Dumpus($x, True) → Sweet($x, True)\nrule9: Dumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Wumpus($x, True) → Mean($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Mean('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Dumpus($x, True) → Sweet($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sweet('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nDumpus('Wren', True)\nMean('Wren', True)\nSweet('Wren', True)\nJompus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not mean.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMean('Wren', False)\nAccording to the implied fact: Mean('Wren', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-415_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a tumpus. Vumpuses are wooden. Every vumpus is a yumpus. Yumpuses are not feisty. Each yumpus is a wumpus. Wumpuses are not opaque. Each wumpus is a tumpus. Tumpuses are temperate. Every tumpus is an impus. Each impus is earthy. Impuses are zumpuses. Zumpuses are not angry. Zumpuses are dumpuses. Each dumpus is small. Each numpus is angry. Every dumpus is a rompus. Rompuses are dull. Rompuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAngry($x, bool) ::: Is x angry?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nDull($x, bool) ::: Is x dull?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nTumpus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Wooden($x, True)\nrule2: Vumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Feisty($x, False)\nrule4: Yumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Opaque($x, False)\nrule6: Wumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Temperate($x, True)\nrule8: Tumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Earthy($x, True)\nrule10: Impus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Angry($x, False)\nrule12: Zumpus($x, True) → Dumpus($x, True)\nrule13: Dumpus($x, True) → Small($x, True)\nrule14: Numpus($x, True) → Angry($x, True)\nrule15: Dumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Dull($x, True)\nrule17: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Temperate('Sam', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Impus('Sam', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Earthy($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Earthy('Sam', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Zumpus('Sam', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Angry($x, False)\nBind $x to 'Sam'\nObtain a new implied fact: Angry('Sam', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dumpus('Sam', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Small($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Small('Sam', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Rompus('Sam', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Dull($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Dull('Sam', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Jompus('Sam', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sam', True)\nZumpus('Sam', True)\nDumpus('Sam', True)\nRompus('Sam', True)\nTemperate('Sam', True)\nEarthy('Sam', True)\nAngry('Sam', False)\nSmall('Sam', True)\nDull('Sam', True)\nJompus('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is not earthy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nEarthy('Sam', False)\nAccording to the implied fact: Earthy('Sam', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-137_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is an impus. Tumpuses are not luminous. Each tumpus is an impus. Each wumpus is not bright. Every impus is red. Every impus is a vumpus. Vumpuses are not fruity. Vumpuses are rompuses. Each rompus is bright. Rompuses are yumpuses. Each yumpus is large. Every yumpus is a dumpus. Dumpuses are feisty. Every dumpus is a zumpus. Each zumpus is sweet. Zumpuses are numpuses. Numpuses are hot. Every numpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLuminous($x, bool) ::: Is x luminous?\nBright($x, bool) ::: Is x bright?\nRed($x, bool) ::: Is x red?\nLarge($x, bool) ::: Is x large?\nFeisty($x, bool) ::: Is x feisty?\nSweet($x, bool) ::: Is x sweet?\nHot($x, bool) ::: Is x hot?\n\nWe have following known facts from the context:\nImpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Luminous($x, False)\nrule2: Tumpus($x, True) → Impus($x, True)\nrule3: Wumpus($x, True) → Bright($x, False)\nrule4: Impus($x, True) → Red($x, True)\nrule5: Impus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Fruity($x, False)\nrule7: Vumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Bright($x, True)\nrule9: Rompus($x, True) → Yumpus($x, True)\nrule10: Yumpus($x, True) → Large($x, True)\nrule11: Yumpus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Feisty($x, True)\nrule13: Dumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Sweet($x, True)\nrule15: Zumpus($x, True) → Numpus($x, True)\nrule16: Numpus($x, True) → Hot($x, True)\nrule17: Numpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Impus($x, True) → Red($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Red('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Bright($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Feisty($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Feisty('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Sweet($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Sweet('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Numpus($x, True) → Hot($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nVumpus('Fae', True)\nRompus('Fae', True)\nYumpus('Fae', True)\nDumpus('Fae', True)\nZumpus('Fae', True)\nNumpus('Fae', True)\nRed('Fae', True)\nFruity('Fae', False)\nBright('Fae', True)\nLarge('Fae', True)\nFeisty('Fae', True)\nSweet('Fae', True)\nHot('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is not feisty.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFeisty('Fae', False)\nAccording to the implied fact: Feisty('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-78_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Dumpuses are not large. Dumpuses are yumpuses. Every yumpus is not opaque. Every yumpus is a tumpus. Each tumpus is fruity. Each tumpus is a jompus. Each jompus is bright. Each jompus is an impus. Every impus is not spicy. Impuses are zumpuses. Every zumpus is not liquid. Every zumpus is a numpus. Numpuses are hot. Each numpus is a wumpus. Wumpuses are nervous. Each wumpus is a rompus. Each vumpus is spicy.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLarge($x, bool) ::: Is x large?\nOpaque($x, bool) ::: Is x opaque?\nBright($x, bool) ::: Is x bright?\nSpicy($x, bool) ::: Is x spicy?\nHot($x, bool) ::: Is x hot?\nNervous($x, bool) ::: Is x nervous?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, False)\nrule2: Dumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Opaque($x, False)\nrule4: Yumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Fruity($x, True)\nrule6: Tumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Bright($x, True)\nrule8: Jompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Spicy($x, False)\nrule10: Impus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Liquid($x, False)\nrule12: Zumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Hot($x, True)\nrule14: Numpus($x, True) → Wumpus($x, True)\nrule15: Wumpus($x, True) → Nervous($x, True)\nrule16: Wumpus($x, True) → Rompus($x, True)\nrule17: Vumpus($x, True) → Spicy($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Yumpus($x, True) → Opaque($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Opaque('Rex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Tumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Tumpus('Rex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Fruity($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Fruity('Rex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Impus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Impus('Rex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Spicy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Spicy('Rex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Zumpus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Liquid($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Liquid('Rex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Hot($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Hot('Rex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Nervous($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Nervous('Rex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nTumpus('Rex', True)\nJompus('Rex', True)\nImpus('Rex', True)\nZumpus('Rex', True)\nNumpus('Rex', True)\nWumpus('Rex', True)\nOpaque('Rex', False)\nFruity('Rex', True)\nBright('Rex', True)\nSpicy('Rex', False)\nLiquid('Rex', False)\nHot('Rex', True)\nNervous('Rex', True)\nRompus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is not spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Rex', False)\nAccording to the implied fact: Spicy('Rex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-350_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a rompus. Each numpus is sour. Numpuses are jompuses. Each jompus is fruity. Each jompus is a tumpus. Tumpuses are not cold. Tumpuses are wumpuses. Every wumpus is not nervous. Every wumpus is a rompus. Rompuses are red. Every yumpus is not transparent. Rompuses are dumpuses. Each dumpus is not amenable. Dumpuses are impuses. Each impus is transparent. Each impus is a vumpus. Every vumpus is dull. Vumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nRed($x, bool) ::: Is x red?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAmenable($x, bool) ::: Is x amenable?\nImpus($x, bool) ::: Does x belong to Impuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Sour($x, True)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Fruity($x, True)\nrule4: Jompus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Cold($x, False)\nrule6: Tumpus($x, True) → Wumpus($x, True)\nrule7: Wumpus($x, True) → Nervous($x, False)\nrule8: Wumpus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Red($x, True)\nrule10: Yumpus($x, True) → Transparent($x, False)\nrule11: Rompus($x, True) → Dumpus($x, True)\nrule12: Dumpus($x, True) → Amenable($x, False)\nrule13: Dumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Transparent($x, True)\nrule15: Impus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Dull($x, True)\nrule17: Vumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Rompus($x, True) → Red($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Red('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Amenable($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Amenable('Sally', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Dull($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dull('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nImpus('Sally', True)\nVumpus('Sally', True)\nRed('Sally', True)\nAmenable('Sally', False)\nTransparent('Sally', True)\nDull('Sally', True)\nZumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Vumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Sally', False)\nAccording to the implied fact: Vumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-88_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Zumpuses are not transparent. Each zumpus is a numpus. Numpuses are dull. Numpuses are vumpuses. Each vumpus is luminous. Vumpuses are impuses. Every impus is sour. Impuses are jompuses. Each jompus is angry. Each jompus is a tumpus. Every tumpus is temperate. Each tumpus is a yumpus. Yumpuses are large. Each yumpus is a dumpus. Each dumpus is floral. Wumpuses are not angry. Dumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nLuminous($x, bool) ::: Is x luminous?\nImpus($x, bool) ::: Does x belong to Impuses?\nSour($x, bool) ::: Is x sour?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLarge($x, bool) ::: Is x large?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Transparent($x, False)\nrule2: Zumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Dull($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Luminous($x, True)\nrule6: Vumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Sour($x, True)\nrule8: Impus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Angry($x, True)\nrule10: Jompus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Temperate($x, True)\nrule12: Tumpus($x, True) → Yumpus($x, True)\nrule13: Yumpus($x, True) → Large($x, True)\nrule14: Yumpus($x, True) → Dumpus($x, True)\nrule15: Dumpus($x, True) → Floral($x, True)\nrule16: Wumpus($x, True) → Angry($x, False)\nrule17: Dumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Luminous($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Impus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Angry($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Angry('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Temperate($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Temperate('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Large($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Large('Sally', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Floral($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nImpus('Sally', True)\nJompus('Sally', True)\nTumpus('Sally', True)\nYumpus('Sally', True)\nDumpus('Sally', True)\nLuminous('Sally', True)\nSour('Sally', True)\nAngry('Sally', True)\nTemperate('Sally', True)\nLarge('Sally', True)\nFloral('Sally', True)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally does not belong to Tumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nTumpus('Sally', False)\nAccording to the implied fact: Tumpus('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-498_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a dumpus. Each numpus is not small. Each numpus is a yumpus. Yumpuses are not liquid. Yumpuses are zumpuses. Every zumpus is transparent. Every zumpus is a dumpus. Dumpuses are dull. Dumpuses are wumpuses. Every vumpus is not fruity. Each wumpus is feisty. Wumpuses are rompuses. Every rompus is not bitter. Each rompus is a jompus. Jompuses are fruity. Jompuses are impuses. Every impus is not red. Impuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLiquid($x, bool) ::: Is x liquid?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTransparent($x, bool) ::: Is x transparent?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFruity($x, bool) ::: Is x fruity?\nFeisty($x, bool) ::: Is x feisty?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\nRed($x, bool) ::: Is x red?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nDumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Small($x, False)\nrule2: Numpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Liquid($x, False)\nrule4: Yumpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Transparent($x, True)\nrule6: Zumpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Dull($x, True)\nrule8: Dumpus($x, True) → Wumpus($x, True)\nrule9: Vumpus($x, True) → Fruity($x, False)\nrule10: Wumpus($x, True) → Feisty($x, True)\nrule11: Wumpus($x, True) → Rompus($x, True)\nrule12: Rompus($x, True) → Bitter($x, False)\nrule13: Rompus($x, True) → Jompus($x, True)\nrule14: Jompus($x, True) → Fruity($x, True)\nrule15: Jompus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Red($x, False)\nrule17: Impus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Dumpus($x, True) → Dull($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dull('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Wumpus('Polly', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Feisty('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Bitter($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Bitter('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Jompus($x, True) → Fruity($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Fruity('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Red($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Red('Polly', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nWumpus('Polly', True)\nRompus('Polly', True)\nJompus('Polly', True)\nImpus('Polly', True)\nDull('Polly', True)\nFeisty('Polly', True)\nBitter('Polly', False)\nFruity('Polly', True)\nRed('Polly', False)\nTumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Polly', True)\nAccording to the implied fact: Fruity('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-56_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a wumpus. Impuses are kind. Every impus is a wumpus. Wumpuses are hot. Every wumpus is a tumpus. Tumpuses are not happy. Every tumpus is a numpus. Each numpus is floral. Each numpus is a jompus. Every jompus is bright. Jompuses are vumpuses. Each vumpus is spicy. Every vumpus is a zumpus. Every zumpus is not luminous. Every yumpus is not hot. Each zumpus is a dumpus. Dumpuses are brown. Dumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nKind($x, bool) ::: Is x kind?\nHot($x, bool) ::: Is x hot?\nHappy($x, bool) ::: Is x happy?\nFloral($x, bool) ::: Is x floral?\nBright($x, bool) ::: Is x bright?\nSpicy($x, bool) ::: Is x spicy?\nLuminous($x, bool) ::: Is x luminous?\nBrown($x, bool) ::: Is x brown?\n\nWe have following known facts from the context:\nWumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Kind($x, True)\nrule2: Impus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Hot($x, True)\nrule4: Wumpus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Happy($x, False)\nrule6: Tumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Floral($x, True)\nrule8: Numpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Bright($x, True)\nrule10: Jompus($x, True) → Vumpus($x, True)\nrule11: Vumpus($x, True) → Spicy($x, True)\nrule12: Vumpus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Luminous($x, False)\nrule14: Yumpus($x, True) → Hot($x, False)\nrule15: Zumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Brown($x, True)\nrule17: Dumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Wumpus($x, True) → Hot($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Hot('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Tumpus($x, True) → Happy($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Happy('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Floral($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Spicy($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Spicy('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Zumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Luminous($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Luminous('Sally', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Brown($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nNumpus('Sally', True)\nJompus('Sally', True)\nVumpus('Sally', True)\nZumpus('Sally', True)\nDumpus('Sally', True)\nHot('Sally', True)\nHappy('Sally', False)\nFloral('Sally', True)\nBright('Sally', True)\nSpicy('Sally', True)\nLuminous('Sally', False)\nBrown('Sally', True)\nRompus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not happy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nHappy('Sally', False)\nAccording to the implied fact: Happy('Sally', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-348_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a wumpus. Each yumpus is brown. Every wumpus is shy. Wumpuses are dumpuses. Dumpuses are not brown. Each dumpus is a vumpus. Every vumpus is not small. Vumpuses are jompuses. Each jompus is not sour. Each jompus is a rompus. Rompuses are metallic. Every rompus is a tumpus. Every tumpus is not amenable. Tumpuses are zumpuses. Zumpuses are earthy. Zumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBrown($x, bool) ::: Is x brown?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSour($x, bool) ::: Is x sour?\nRompus($x, bool) ::: Does x belong to Rompuses?\nMetallic($x, bool) ::: Is x metallic?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nAmenable($x, bool) ::: Is x amenable?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nEarthy($x, bool) ::: Is x earthy?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Brown($x, True)\nrule2: Wumpus($x, True) → Shy($x, True)\nrule3: Wumpus($x, True) → Dumpus($x, True)\nrule4: Dumpus($x, True) → Brown($x, False)\nrule5: Dumpus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Small($x, False)\nrule7: Vumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Sour($x, False)\nrule9: Jompus($x, True) → Rompus($x, True)\nrule10: Rompus($x, True) → Metallic($x, True)\nrule11: Rompus($x, True) → Tumpus($x, True)\nrule12: Tumpus($x, True) → Amenable($x, False)\nrule13: Tumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Earthy($x, True)\nrule15: Zumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule2: Wumpus($x, True) → Shy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Shy('Polly', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Dumpus($x, True) → Brown($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Brown('Polly', False)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Jompus('Polly', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Sour($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Sour('Polly', False)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Metallic($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Metallic('Polly', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Tumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Amenable($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Amenable('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Earthy($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Earthy('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Impus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nDumpus('Polly', True)\nVumpus('Polly', True)\nJompus('Polly', True)\nRompus('Polly', True)\nTumpus('Polly', True)\nZumpus('Polly', True)\nShy('Polly', True)\nBrown('Polly', False)\nSmall('Polly', False)\nSour('Polly', False)\nMetallic('Polly', True)\nAmenable('Polly', False)\nEarthy('Polly', True)\nImpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is amenable.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nAmenable('Polly', True)\nAccording to the implied fact: Amenable('Polly', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-57_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a wumpus. Each wumpus is not luminous. Wumpuses are yumpuses. Each yumpus is cold. Yumpuses are dumpuses. Dumpuses are brown. Each dumpus is a numpus. Every numpus is kind. Numpuses are vumpuses. Each vumpus is feisty. Vumpuses are rompuses. Every rompus is opaque. Each rompus is a zumpus. Each zumpus is small. Zumpuses are tumpuses. Tumpuses are sweet. Tumpuses are jompuses. Impuses are not feisty.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nLuminous($x, bool) ::: Is x luminous?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nBrown($x, bool) ::: Is x brown?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nFeisty($x, bool) ::: Is x feisty?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSmall($x, bool) ::: Is x small?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nSweet($x, bool) ::: Is x sweet?\nJompus($x, bool) ::: Does x belong to Jompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nWumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Luminous($x, False)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Cold($x, True)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Brown($x, True)\nrule6: Dumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Kind($x, True)\nrule8: Numpus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Feisty($x, True)\nrule10: Vumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Opaque($x, True)\nrule12: Rompus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Small($x, True)\nrule14: Zumpus($x, True) → Tumpus($x, True)\nrule15: Tumpus($x, True) → Sweet($x, True)\nrule16: Tumpus($x, True) → Jompus($x, True)\nrule17: Impus($x, True) → Feisty($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Wumpus($x, True) → Luminous($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Luminous('Stella', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Cold('Stella', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Numpus($x, True) → Kind($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Kind('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Feisty($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Feisty('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Rompus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Sweet($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nDumpus('Stella', True)\nNumpus('Stella', True)\nVumpus('Stella', True)\nRompus('Stella', True)\nZumpus('Stella', True)\nTumpus('Stella', True)\nLuminous('Stella', False)\nCold('Stella', True)\nBrown('Stella', True)\nKind('Stella', True)\nFeisty('Stella', True)\nOpaque('Stella', True)\nSmall('Stella', True)\nSweet('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Stella', False)\nAccording to the implied fact: Brown('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-272_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is an impus. Wumpuses are earthy. Wumpuses are yumpuses. Every yumpus is bright. Every yumpus is a dumpus. Dumpuses are amenable. Each dumpus is a numpus. Numpuses are nervous. Every numpus is an impus. Every impus is small. Impuses are zumpuses. Each zumpus is not brown. Each zumpus is a tumpus. Tumpuses are not opaque. Rompuses are opaque. Tumpuses are vumpuses. Every vumpus is bitter. Each vumpus is a jompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nEarthy($x, bool) ::: Is x earthy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBrown($x, bool) ::: Is x brown?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nOpaque($x, bool) ::: Is x opaque?\nRompus($x, bool) ::: Does x belong to Rompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nImpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Earthy($x, True)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Bright($x, True)\nrule4: Yumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Amenable($x, True)\nrule6: Dumpus($x, True) → Numpus($x, True)\nrule7: Numpus($x, True) → Nervous($x, True)\nrule8: Numpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Small($x, True)\nrule10: Impus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Brown($x, False)\nrule12: Zumpus($x, True) → Tumpus($x, True)\nrule13: Tumpus($x, True) → Opaque($x, False)\nrule14: Rompus($x, True) → Opaque($x, True)\nrule15: Tumpus($x, True) → Vumpus($x, True)\nrule16: Vumpus($x, True) → Bitter($x, True)\nrule17: Vumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Impus($x, True) → Small($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Brown($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Opaque($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bitter('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Stella', True)\nTumpus('Stella', True)\nVumpus('Stella', True)\nSmall('Stella', True)\nBrown('Stella', False)\nOpaque('Stella', False)\nBitter('Stella', True)\nJompus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is opaque.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nOpaque('Stella', True)\nAccording to the implied fact: Opaque('Stella', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-90_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSam is a rompus. Rompuses are red. Every numpus is not red. Each zumpus is shy. Tumpuses are not sour. Tumpuses are yumpuses. Yumpuses are temperate. Yumpuses are dumpuses. Every dumpus is earthy. Dumpuses are vumpuses. Each vumpus is aggressive. Every vumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nRed($x, bool) ::: Is x red?\nSour($x, bool) ::: Is x sour?\nTemperate($x, bool) ::: Is x temperate?\nEarthy($x, bool) ::: Is x earthy?\nAggressive($x, bool) ::: Is x aggressive?\n\nWe have following known facts from the context:\nRompus('Sam', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Red($x, True)\nrule2: Numpus($x, True) → Red($x, False)\nrule3: Zumpus($x, True) → Shy($x, True)\nrule4: Tumpus($x, True) → Sour($x, False)\nrule5: Tumpus($x, True) → Yumpus($x, True)\nrule6: Yumpus($x, True) → Temperate($x, True)\nrule7: Yumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Earthy($x, True)\nrule9: Dumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Aggressive($x, True)\nrule11: Vumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Red($x, True)\nBind $x to 'Sam'\nObtain a new implied fact: Red('Sam', True)\nUnbind $x\nFinish implied with rule1\n\nFinally, we obtain following implied facts:\nRed('Sam', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sam is red.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRed('Sam', True)\nAccording to the implied fact: Red('Sam', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-498_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Each jompus is not mean. Jompuses are numpuses. Every vumpus is opaque. Numpuses are wooden. Each numpus is a rompus. Each rompus is not fruity. Each rompus is a tumpus. Tumpuses are brown. Each tumpus is a dumpus. Each dumpus is small. Each dumpus is a wumpus. Every wumpus is not bright. Wumpuses are impuses. Impuses are happy. Impuses are yumpuses. Yumpuses are not opaque. Yumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nMean($x, bool) ::: Is x mean?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBrown($x, bool) ::: Is x brown?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nSmall($x, bool) ::: Is x small?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Mean($x, False)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Vumpus($x, True) → Opaque($x, True)\nrule4: Numpus($x, True) → Wooden($x, True)\nrule5: Numpus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Fruity($x, False)\nrule7: Rompus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Brown($x, True)\nrule9: Tumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Small($x, True)\nrule11: Dumpus($x, True) → Wumpus($x, True)\nrule12: Wumpus($x, True) → Bright($x, False)\nrule13: Wumpus($x, True) → Impus($x, True)\nrule14: Impus($x, True) → Happy($x, True)\nrule15: Impus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Opaque($x, False)\nrule17: Yumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Tumpus($x, True) → Brown($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Brown('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Wumpus($x, True) → Bright($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bright('Max', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Impus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Happy($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Happy('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Opaque($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Max', True)\nWumpus('Max', True)\nImpus('Max', True)\nYumpus('Max', True)\nBrown('Max', True)\nSmall('Max', True)\nBright('Max', False)\nHappy('Max', True)\nOpaque('Max', False)\nZumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Max', False)\nAccording to the implied fact: Impus('Max', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-403_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Every rompus is not feisty. Rompuses are wumpuses. Wumpuses are not earthy. Wumpuses are vumpuses. Each vumpus is not wooden. Vumpuses are tumpuses. Tumpuses are cold. Every tumpus is a jompus. Jompuses are transparent. Each jompus is an impus. Each impus is sour. Impuses are numpuses. Each numpus is not bright. Each zumpus is bright. Numpuses are dumpuses. Dumpuses are not blue. Each dumpus is a yumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nFeisty($x, bool) ::: Is x feisty?\nEarthy($x, bool) ::: Is x earthy?\nWooden($x, bool) ::: Is x wooden?\nSour($x, bool) ::: Is x sour?\nBright($x, bool) ::: Is x bright?\nBlue($x, bool) ::: Is x blue?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Feisty($x, False)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Earthy($x, False)\nrule4: Wumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Wooden($x, False)\nrule6: Vumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Cold($x, True)\nrule8: Tumpus($x, True) → Jompus($x, True)\nrule9: Jompus($x, True) → Transparent($x, True)\nrule10: Jompus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Sour($x, True)\nrule12: Impus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Bright($x, False)\nrule14: Zumpus($x, True) → Bright($x, True)\nrule15: Numpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Blue($x, False)\nrule17: Dumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Vumpus($x, True) → Wooden($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Transparent($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Transparent('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Sour($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Sour('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Numpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Numpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Bright($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Blue($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Blue('Sally', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nTumpus('Sally', True)\nJompus('Sally', True)\nImpus('Sally', True)\nNumpus('Sally', True)\nDumpus('Sally', True)\nWooden('Sally', False)\nCold('Sally', True)\nTransparent('Sally', True)\nSour('Sally', True)\nBright('Sally', False)\nBlue('Sally', False)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is cold.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nCold('Sally', True)\nAccording to the implied fact: Cold('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-333_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a wumpus. Every jompus is not bright. Jompuses are impuses. Each impus is floral. Impuses are numpuses. Numpuses are not transparent. Numpuses are tumpuses. Rompuses are kind. Each tumpus is not liquid. Tumpuses are wumpuses. Wumpuses are not nervous. Wumpuses are zumpuses. Zumpuses are not kind. Zumpuses are yumpuses. Every yumpus is not small. Each yumpus is a dumpus. Each dumpus is cold. Each dumpus is a vumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nFloral($x, bool) ::: Is x floral?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\nKind($x, bool) ::: Is x kind?\nLiquid($x, bool) ::: Is x liquid?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\n\nWe have following known facts from the context:\nWumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Bright($x, False)\nrule2: Jompus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Floral($x, True)\nrule4: Impus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Transparent($x, False)\nrule6: Numpus($x, True) → Tumpus($x, True)\nrule7: Rompus($x, True) → Kind($x, True)\nrule8: Tumpus($x, True) → Liquid($x, False)\nrule9: Tumpus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Nervous($x, False)\nrule11: Wumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Kind($x, False)\nrule13: Zumpus($x, True) → Yumpus($x, True)\nrule14: Yumpus($x, True) → Small($x, False)\nrule15: Yumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Cold($x, True)\nrule17: Dumpus($x, True) → Vumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Wumpus($x, True) → Nervous($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Nervous('Polly', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Kind($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Kind('Polly', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Yumpus($x, True) → Small($x, False)\nBind $x to 'Polly'\nObtain a new implied fact: Small('Polly', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Dumpus('Polly', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Cold($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Cold('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Vumpus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nYumpus('Polly', True)\nDumpus('Polly', True)\nNervous('Polly', False)\nKind('Polly', False)\nSmall('Polly', False)\nCold('Polly', True)\nVumpus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly belongs to Wumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWumpus('Polly', True)\nAccording to the known fact: Wumpus('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-301_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Each jompus is transparent. Jompuses are numpuses. Each numpus is not brown. Numpuses are zumpuses. Zumpuses are mean. Each zumpus is a vumpus. Vumpuses are not small. Every vumpus is an impus. Impuses are dull. Each impus is a rompus. Rompuses are hot. Every rompus is a wumpus. Wumpuses are wooden. Wumpuses are yumpuses. Each yumpus is not shy. Every yumpus is a dumpus. Tumpuses are not hot.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nTransparent($x, bool) ::: Is x transparent?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBrown($x, bool) ::: Is x brown?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nShy($x, bool) ::: Is x shy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Transparent($x, True)\nrule2: Jompus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Brown($x, False)\nrule4: Numpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Mean($x, True)\nrule6: Zumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Small($x, False)\nrule8: Vumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Dull($x, True)\nrule10: Impus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Hot($x, True)\nrule12: Rompus($x, True) → Wumpus($x, True)\nrule13: Wumpus($x, True) → Wooden($x, True)\nrule14: Wumpus($x, True) → Yumpus($x, True)\nrule15: Yumpus($x, True) → Shy($x, False)\nrule16: Yumpus($x, True) → Dumpus($x, True)\nrule17: Tumpus($x, True) → Hot($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Numpus($x, True) → Brown($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Brown('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Zumpus($x, True) → Mean($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Mean('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Small($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Dull($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Yumpus($x, True) → Shy($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Shy('Alex', False)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nVumpus('Alex', True)\nImpus('Alex', True)\nRompus('Alex', True)\nWumpus('Alex', True)\nYumpus('Alex', True)\nBrown('Alex', False)\nMean('Alex', True)\nSmall('Alex', False)\nDull('Alex', True)\nHot('Alex', True)\nWooden('Alex', True)\nShy('Alex', False)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Alex', False)\nAccording to the implied fact: Small('Alex', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-15_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a yumpus. Zumpuses are kind. Zumpuses are dumpuses. Dumpuses are bright. Dumpuses are vumpuses. Each vumpus is small. Every numpus is not floral. Vumpuses are yumpuses. Yumpuses are floral. Yumpuses are impuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nKind($x, bool) ::: Is x kind?\nBright($x, bool) ::: Is x bright?\nSmall($x, bool) ::: Is x small?\nFloral($x, bool) ::: Is x floral?\n\nWe have following known facts from the context:\nYumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Kind($x, True)\nrule2: Zumpus($x, True) → Dumpus($x, True)\nrule3: Dumpus($x, True) → Bright($x, True)\nrule4: Dumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Small($x, True)\nrule6: Numpus($x, True) → Floral($x, False)\nrule7: Vumpus($x, True) → Yumpus($x, True)\nrule8: Yumpus($x, True) → Floral($x, True)\nrule9: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Yumpus($x, True) → Floral($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Impus('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nFloral('Sally', True)\nImpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is floral.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFloral('Sally', True)\nAccording to the implied fact: Floral('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-71_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Dumpuses are red. Dumpuses are numpuses. Numpuses are metallic. Each numpus is a zumpus. Each zumpus is bright. Zumpuses are tumpuses. Each tumpus is mean. Vumpuses are not sweet. Tumpuses are impuses. Impuses are sweet. Impuses are yumpuses. Yumpuses are temperate. Each yumpus is a wumpus. Each wumpus is not small. Each wumpus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nRed($x, bool) ::: Is x red?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nMetallic($x, bool) ::: Is x metallic?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nMean($x, bool) ::: Is x mean?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nImpus($x, bool) ::: Does x belong to Impuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Red($x, True)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Metallic($x, True)\nrule4: Numpus($x, True) → Zumpus($x, True)\nrule5: Zumpus($x, True) → Bright($x, True)\nrule6: Zumpus($x, True) → Tumpus($x, True)\nrule7: Tumpus($x, True) → Mean($x, True)\nrule8: Vumpus($x, True) → Sweet($x, False)\nrule9: Tumpus($x, True) → Impus($x, True)\nrule10: Impus($x, True) → Sweet($x, True)\nrule11: Impus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Temperate($x, True)\nrule13: Yumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Small($x, False)\nrule15: Wumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Mean($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Mean('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule9: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Impus($x, True) → Sweet($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Temperate($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Small($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nImpus('Alex', True)\nYumpus('Alex', True)\nWumpus('Alex', True)\nBright('Alex', True)\nMean('Alex', True)\nSweet('Alex', True)\nTemperate('Alex', True)\nSmall('Alex', False)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Yumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nYumpus('Alex', True)\nAccording to the implied fact: Yumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-438_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Each numpus is not large. Each jompus is shy. Every jompus is an impus. Impuses are bright. Every impus is a wumpus. Each wumpus is not spicy. Each wumpus is a vumpus. Each vumpus is large. Every vumpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nLarge($x, bool) ::: Is x large?\nJompus($x, bool) ::: Does x belong to Jompuses?\nShy($x, bool) ::: Is x shy?\nImpus($x, bool) ::: Does x belong to Impuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Large($x, False)\nrule2: Jompus($x, True) → Shy($x, True)\nrule3: Jompus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Bright($x, True)\nrule5: Impus($x, True) → Wumpus($x, True)\nrule6: Wumpus($x, True) → Spicy($x, False)\nrule7: Wumpus($x, True) → Vumpus($x, True)\nrule8: Vumpus($x, True) → Large($x, True)\nrule9: Vumpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule4: Impus($x, True) → Bright($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Bright('Wren', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Spicy($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Wumpus($x, True) → Vumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Vumpus('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Vumpus($x, True) → Tumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Tumpus('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nWumpus('Wren', True)\nVumpus('Wren', True)\nBright('Wren', True)\nSpicy('Wren', False)\nLarge('Wren', True)\nTumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is not spicy.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSpicy('Wren', False)\nAccording to the implied fact: Spicy('Wren', False)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-364_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a dumpus. Numpuses are not shy. Numpuses are jompuses. Jompuses are not wooden. Jompuses are wumpuses. Every wumpus is not opaque. Each wumpus is a yumpus. Every vumpus is sweet. Yumpuses are orange. Yumpuses are dumpuses. Dumpuses are not sweet. Dumpuses are zumpuses. Every zumpus is hot. Every zumpus is a rompus. Every rompus is fruity. Every rompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nShy($x, bool) ::: Is x shy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOpaque($x, bool) ::: Is x opaque?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSweet($x, bool) ::: Is x sweet?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFruity($x, bool) ::: Is x fruity?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nDumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Shy($x, False)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Wooden($x, False)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Opaque($x, False)\nrule6: Wumpus($x, True) → Yumpus($x, True)\nrule7: Vumpus($x, True) → Sweet($x, True)\nrule8: Yumpus($x, True) → Orange($x, True)\nrule9: Yumpus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Sweet($x, False)\nrule11: Dumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Hot($x, True)\nrule13: Zumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Fruity($x, True)\nrule15: Rompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Dumpus($x, True) → Sweet($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Sweet('Alex', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Fruity($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Fruity('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nRompus('Alex', True)\nSweet('Alex', False)\nHot('Alex', True)\nFruity('Alex', True)\nImpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not fruity.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nFruity('Alex', False)\nAccording to the implied fact: Fruity('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-319_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is a vumpus. Wumpuses are not floral. Wumpuses are vumpuses. Each vumpus is kind. Vumpuses are dumpuses. Each dumpus is wooden. Dumpuses are rompuses. Each rompus is bright. Each rompus is a yumpus. Numpuses are not wooden.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nFloral($x, bool) ::: Is x floral?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nKind($x, bool) ::: Is x kind?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\n\nWe have following known facts from the context:\nVumpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Floral($x, False)\nrule2: Wumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Kind($x, True)\nrule4: Vumpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Wooden($x, True)\nrule6: Dumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Bright($x, True)\nrule8: Rompus($x, True) → Yumpus($x, True)\nrule9: Numpus($x, True) → Wooden($x, False)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Vumpus($x, True) → Kind($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Kind('Sally', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Vumpus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Wooden($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Wooden('Sally', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Bright($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Bright('Sally', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Yumpus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nFinally, we obtain following implied facts:\nDumpus('Sally', True)\nRompus('Sally', True)\nKind('Sally', True)\nWooden('Sally', True)\nBright('Sally', True)\nYumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is not wooden.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nWooden('Sally', False)\nAccording to the implied fact: Wooden('Sally', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-127_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a vumpus. Yumpuses are not metallic. Each yumpus is an impus. Impuses are transparent. Each impus is a tumpus. Every tumpus is sweet. Each tumpus is a jompus. Every jompus is hot. Jompuses are vumpuses. Each vumpus is not red. Every vumpus is a zumpus. Every zumpus is bright. Zumpuses are rompuses. Every wumpus is red. Each rompus is not kind. Rompuses are dumpuses. Dumpuses are earthy. Each dumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nMetallic($x, bool) ::: Is x metallic?\nSweet($x, bool) ::: Is x sweet?\nHot($x, bool) ::: Is x hot?\nRed($x, bool) ::: Is x red?\nBright($x, bool) ::: Is x bright?\nKind($x, bool) ::: Is x kind?\nEarthy($x, bool) ::: Is x earthy?\n\nWe have following known facts from the context:\nVumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Metallic($x, False)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Transparent($x, True)\nrule4: Impus($x, True) → Tumpus($x, True)\nrule5: Tumpus($x, True) → Sweet($x, True)\nrule6: Tumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Hot($x, True)\nrule8: Jompus($x, True) → Vumpus($x, True)\nrule9: Vumpus($x, True) → Red($x, False)\nrule10: Vumpus($x, True) → Zumpus($x, True)\nrule11: Zumpus($x, True) → Bright($x, True)\nrule12: Zumpus($x, True) → Rompus($x, True)\nrule13: Wumpus($x, True) → Red($x, True)\nrule14: Rompus($x, True) → Kind($x, False)\nrule15: Rompus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Earthy($x, True)\nrule17: Dumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Vumpus($x, True) → Red($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Red('Alex', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Rompus($x, True) → Kind($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Alex', True)\nRompus('Alex', True)\nDumpus('Alex', True)\nRed('Alex', False)\nBright('Alex', True)\nKind('Alex', False)\nEarthy('Alex', True)\nNumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is a vumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nVumpus('Alex', True)\nAccording to the known fact: Vumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-260_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a dumpus. Dumpuses are not large. Every dumpus is a tumpus. Every tumpus is bitter. Every vumpus is not bright. Every tumpus is a jompus. Each jompus is not mean. Each jompus is a numpus. Every numpus is bright. Numpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nLarge($x, bool) ::: Is x large?\nBitter($x, bool) ::: Is x bitter?\nBright($x, bool) ::: Is x bright?\n\nWe have following known facts from the context:\nDumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Large($x, False)\nrule2: Dumpus($x, True) → Tumpus($x, True)\nrule3: Tumpus($x, True) → Bitter($x, True)\nrule4: Vumpus($x, True) → Bright($x, False)\nrule5: Tumpus($x, True) → Jompus($x, True)\nrule6: Jompus($x, True) → Mean($x, False)\nrule7: Jompus($x, True) → Numpus($x, True)\nrule8: Numpus($x, True) → Bright($x, True)\nrule9: Numpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Dumpus($x, True) → Large($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Dumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Tumpus($x, True) → Bitter($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bitter('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule5: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Jompus($x, True) → Mean($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Mean('Alex', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Numpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Numpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nTumpus('Alex', True)\nJompus('Alex', True)\nNumpus('Alex', True)\nLarge('Alex', False)\nBitter('Alex', True)\nMean('Alex', False)\nBright('Alex', True)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is dumpus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nDumpus('Alex', True)\nAccording to the known fact: Dumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-470_ic-5",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a rompus. Tumpuses are aggressive. Tumpuses are rompuses. Rompuses are not sweet. Rompuses are yumpuses. Every yumpus is liquid. Every yumpus is a vumpus. Vumpuses are shy. Each vumpus is a zumpus. Zumpuses are bright. Every zumpus is a dumpus. Dumpuses are opaque. Each dumpus is a numpus. Every numpus is not small. Every numpus is a jompus. Each wumpus is not opaque. Every jompus is brown. Each jompus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nAggressive($x, bool) ::: Is x aggressive?\nSweet($x, bool) ::: Is x sweet?\nLiquid($x, bool) ::: Is x liquid?\nBright($x, bool) ::: Is x bright?\nOpaque($x, bool) ::: Is x opaque?\nSmall($x, bool) ::: Is x small?\nBrown($x, bool) ::: Is x brown?\n\nWe have following known facts from the context:\nRompus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Aggressive($x, True)\nrule2: Tumpus($x, True) → Rompus($x, True)\nrule3: Rompus($x, True) → Sweet($x, False)\nrule4: Rompus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Liquid($x, True)\nrule6: Yumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Shy($x, True)\nrule8: Vumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Bright($x, True)\nrule10: Zumpus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Opaque($x, True)\nrule12: Dumpus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Small($x, False)\nrule14: Numpus($x, True) → Jompus($x, True)\nrule15: Wumpus($x, True) → Opaque($x, False)\nrule16: Jompus($x, True) → Brown($x, True)\nrule17: Jompus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule3: Rompus($x, True) → Sweet($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Sweet('Stella', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Yumpus('Stella', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Yumpus($x, True) → Liquid($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Liquid('Stella', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Yumpus($x, True) → Vumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Vumpus('Stella', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Shy($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Shy('Stella', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Vumpus($x, True) → Zumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Zumpus('Stella', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Bright($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Dumpus('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Dumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Small($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Small('Stella', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Jompus('Stella', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Jompus($x, True) → Brown($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Brown('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Stella', True)\nVumpus('Stella', True)\nZumpus('Stella', True)\nDumpus('Stella', True)\nNumpus('Stella', True)\nJompus('Stella', True)\nSweet('Stella', False)\nLiquid('Stella', True)\nShy('Stella', True)\nBright('Stella', True)\nOpaque('Stella', True)\nSmall('Stella', False)\nBrown('Stella', True)\nImpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella is not brown.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBrown('Stella', False)\nAccording to the implied fact: Brown('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-203_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a numpus. Every numpus is not floral. Each numpus is a yumpus. Yumpuses are orange. Yumpuses are wumpuses. Every wumpus is spicy. Each tumpus is not orange. Wumpuses are dumpuses. Every dumpus is large. Dumpuses are vumpuses. Vumpuses are nervous. Every vumpus is an impus. Each impus is not transparent. Impuses are zumpuses. Every zumpus is not temperate. Zumpuses are jompuses. Each jompus is amenable. Each jompus is a rompus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nOrange($x, bool) ::: Is x orange?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSpicy($x, bool) ::: Is x spicy?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nImpus($x, bool) ::: Does x belong to Impuses?\nTransparent($x, bool) ::: Is x transparent?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nTemperate($x, bool) ::: Is x temperate?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nNumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Floral($x, False)\nrule2: Numpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Orange($x, True)\nrule4: Yumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Spicy($x, True)\nrule6: Tumpus($x, True) → Orange($x, False)\nrule7: Wumpus($x, True) → Dumpus($x, True)\nrule8: Dumpus($x, True) → Large($x, True)\nrule9: Dumpus($x, True) → Vumpus($x, True)\nrule10: Vumpus($x, True) → Nervous($x, True)\nrule11: Vumpus($x, True) → Impus($x, True)\nrule12: Impus($x, True) → Transparent($x, False)\nrule13: Impus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Temperate($x, False)\nrule15: Zumpus($x, True) → Jompus($x, True)\nrule16: Jompus($x, True) → Amenable($x, True)\nrule17: Jompus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Numpus($x, True) → Floral($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Numpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Yumpus($x, True) → Orange($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', True)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Yumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Spicy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Spicy('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule7: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Vumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Vumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Vumpus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Vumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Transparent($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Transparent('Alex', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Temperate($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Temperate('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Jompus($x, True) → Amenable($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nWumpus('Alex', True)\nDumpus('Alex', True)\nVumpus('Alex', True)\nImpus('Alex', True)\nZumpus('Alex', True)\nJompus('Alex', True)\nFloral('Alex', False)\nOrange('Alex', True)\nSpicy('Alex', True)\nLarge('Alex', True)\nNervous('Alex', True)\nTransparent('Alex', False)\nTemperate('Alex', False)\nAmenable('Alex', True)\nRompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex does not belong to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Alex', False)\nAccording to the implied fact: Jompus('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-200_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Rompuses are bright. Every rompus is a jompus. Every jompus is not hot. Jompuses are wumpuses. Wumpuses are not kind. Each wumpus is a tumpus. Yumpuses are kind. Each tumpus is nervous. Each tumpus is a zumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBright($x, bool) ::: Is x bright?\nHot($x, bool) ::: Is x hot?\nKind($x, bool) ::: Is x kind?\nNervous($x, bool) ::: Is x nervous?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Bright($x, True)\nrule2: Rompus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Hot($x, False)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Kind($x, False)\nrule6: Wumpus($x, True) → Tumpus($x, True)\nrule7: Yumpus($x, True) → Kind($x, True)\nrule8: Tumpus($x, True) → Nervous($x, True)\nrule9: Tumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Rompus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Jompus($x, True) → Hot($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Hot('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Wumpus($x, True) → Kind($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Kind('Alex', False)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Wumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule8: Tumpus($x, True) → Nervous($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Nervous('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nWumpus('Alex', True)\nTumpus('Alex', True)\nBright('Alex', True)\nHot('Alex', False)\nKind('Alex', False)\nNervous('Alex', True)\nZumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not nervous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nNervous('Alex', False)\nAccording to the implied fact: Nervous('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-486_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a yumpus. Yumpuses are bright. Every yumpus is a numpus. Every numpus is not floral. Every numpus is a dumpus. Dumpuses are mean. Dumpuses are rompuses. Each rompus is orange. Rompuses are zumpuses. Every zumpus is large. Jompuses are not large. Each zumpus is a wumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBright($x, bool) ::: Is x bright?\nFloral($x, bool) ::: Is x floral?\nLarge($x, bool) ::: Is x large?\n\nWe have following known facts from the context:\nYumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Bright($x, True)\nrule2: Yumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Floral($x, False)\nrule4: Numpus($x, True) → Dumpus($x, True)\nrule5: Dumpus($x, True) → Mean($x, True)\nrule6: Dumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Orange($x, True)\nrule8: Rompus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Large($x, True)\nrule10: Jompus($x, True) → Large($x, False)\nrule11: Zumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Yumpus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Yumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule3: Numpus($x, True) → Floral($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Floral('Alex', False)\nUnbind $x\nFinish implied with rule3\n\nUse rule4: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Dumpus($x, True) → Mean($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Mean('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Orange($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Large($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Large('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Zumpus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nDumpus('Alex', True)\nRompus('Alex', True)\nZumpus('Alex', True)\nBright('Alex', True)\nFloral('Alex', False)\nMean('Alex', True)\nOrange('Alex', True)\nLarge('Alex', True)\nWumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Alex', True)\nAccording to the implied fact: Bright('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-421_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a wumpus. Jompuses are dull. Every jompus is a zumpus. Zumpuses are not aggressive. Every zumpus is a vumpus. Every vumpus is sour. Every vumpus is a yumpus. Every yumpus is temperate. Yumpuses are wumpuses. Wumpuses are orange. Every wumpus is an impus. Each impus is not large. Each impus is a numpus. Rompuses are large. Numpuses are floral. Each numpus is a tumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSour($x, bool) ::: Is x sour?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTemperate($x, bool) ::: Is x temperate?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nOrange($x, bool) ::: Is x orange?\nImpus($x, bool) ::: Does x belong to Impuses?\nLarge($x, bool) ::: Is x large?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nRompus($x, bool) ::: Does x belong to Rompuses?\n\nWe have following known facts from the context:\nWumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Dull($x, True)\nrule2: Jompus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Aggressive($x, False)\nrule4: Zumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Sour($x, True)\nrule6: Vumpus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Temperate($x, True)\nrule8: Yumpus($x, True) → Wumpus($x, True)\nrule9: Wumpus($x, True) → Orange($x, True)\nrule10: Wumpus($x, True) → Impus($x, True)\nrule11: Impus($x, True) → Large($x, False)\nrule12: Impus($x, True) → Numpus($x, True)\nrule13: Rompus($x, True) → Large($x, True)\nrule14: Numpus($x, True) → Floral($x, True)\nrule15: Numpus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Wumpus($x, True) → Orange($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Large($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Impus($x, True) → Numpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Numpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule14: Numpus($x, True) → Floral($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Floral('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nFinally, we obtain following implied facts:\nImpus('Fae', True)\nNumpus('Fae', True)\nOrange('Fae', True)\nLarge('Fae', False)\nFloral('Fae', True)\nTumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Fae', True)\nAccording to the implied fact: Large('Fae', False)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-68_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a tumpus. Each yumpus is bright. Each yumpus is an impus. Each impus is earthy. Impuses are rompuses. Rompuses are not luminous. Numpuses are bitter. Rompuses are tumpuses. Each tumpus is cold. Tumpuses are jompuses. Jompuses are not bitter. Jompuses are vumpuses. Vumpuses are opaque. Every vumpus is a wumpus. Wumpuses are small. Wumpuses are dumpuses. Dumpuses are aggressive. Dumpuses are zumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nEarthy($x, bool) ::: Is x earthy?\nRompus($x, bool) ::: Does x belong to Rompuses?\nLuminous($x, bool) ::: Is x luminous?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nJompus($x, bool) ::: Does x belong to Jompuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSmall($x, bool) ::: Is x small?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAggressive($x, bool) ::: Is x aggressive?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\n\nWe have following known facts from the context:\nTumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Yumpus($x, True) → Bright($x, True)\nrule2: Yumpus($x, True) → Impus($x, True)\nrule3: Impus($x, True) → Earthy($x, True)\nrule4: Impus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Luminous($x, False)\nrule6: Numpus($x, True) → Bitter($x, True)\nrule7: Rompus($x, True) → Tumpus($x, True)\nrule8: Tumpus($x, True) → Cold($x, True)\nrule9: Tumpus($x, True) → Jompus($x, True)\nrule10: Jompus($x, True) → Bitter($x, False)\nrule11: Jompus($x, True) → Vumpus($x, True)\nrule12: Vumpus($x, True) → Opaque($x, True)\nrule13: Vumpus($x, True) → Wumpus($x, True)\nrule14: Wumpus($x, True) → Small($x, True)\nrule15: Wumpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Aggressive($x, True)\nrule17: Dumpus($x, True) → Zumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule8: Tumpus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Tumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Jompus($x, True) → Bitter($x, False)\nBind $x to 'Max'\nObtain a new implied fact: Bitter('Max', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Jompus($x, True) → Vumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Vumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Vumpus($x, True) → Opaque($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Opaque('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Wumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Wumpus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Aggressive($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nVumpus('Max', True)\nWumpus('Max', True)\nDumpus('Max', True)\nCold('Max', True)\nBitter('Max', False)\nOpaque('Max', True)\nSmall('Max', True)\nAggressive('Max', True)\nZumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Max', True)\nAccording to the implied fact: Jompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-378_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a numpus. Wumpuses are happy. Wumpuses are yumpuses. Every yumpus is fruity. Yumpuses are numpuses. Numpuses are orange. Each numpus is a dumpus. Dumpuses are not transparent. Dumpuses are impuses. Impuses are amenable. Tumpuses are dull. Each impus is a zumpus. Zumpuses are not dull. Zumpuses are vumpuses. Each vumpus is bitter. Vumpuses are rompuses. Each rompus is hot. Rompuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nHappy($x, bool) ::: Is x happy?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nFruity($x, bool) ::: Is x fruity?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTransparent($x, bool) ::: Is x transparent?\nImpus($x, bool) ::: Does x belong to Impuses?\nAmenable($x, bool) ::: Is x amenable?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nBitter($x, bool) ::: Is x bitter?\nRompus($x, bool) ::: Does x belong to Rompuses?\nHot($x, bool) ::: Is x hot?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nNumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Happy($x, True)\nrule2: Wumpus($x, True) → Yumpus($x, True)\nrule3: Yumpus($x, True) → Fruity($x, True)\nrule4: Yumpus($x, True) → Numpus($x, True)\nrule5: Numpus($x, True) → Orange($x, True)\nrule6: Numpus($x, True) → Dumpus($x, True)\nrule7: Dumpus($x, True) → Transparent($x, False)\nrule8: Dumpus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Amenable($x, True)\nrule10: Tumpus($x, True) → Dull($x, True)\nrule11: Impus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Dull($x, False)\nrule13: Zumpus($x, True) → Vumpus($x, True)\nrule14: Vumpus($x, True) → Bitter($x, True)\nrule15: Vumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Hot($x, True)\nrule17: Rompus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Numpus($x, True) → Orange($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Orange('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Dumpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Dumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Impus($x, True) → Amenable($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Amenable('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule11: Impus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Dull($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Vumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Vumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Vumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Hot($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Hot('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nImpus('Fae', True)\nZumpus('Fae', True)\nVumpus('Fae', True)\nRompus('Fae', True)\nOrange('Fae', True)\nTransparent('Fae', False)\nAmenable('Fae', True)\nDull('Fae', False)\nBitter('Fae', True)\nHot('Fae', True)\nJompus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae belongs to Jompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nJompus('Fae', True)\nAccording to the implied fact: Jompus('Fae', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-400_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nStella is a zumpus. Jompuses are wooden. Vumpuses are not temperate. Jompuses are yumpuses. Yumpuses are bitter. Every yumpus is a dumpus. Every dumpus is not large. Every dumpus is a rompus. Rompuses are not earthy. Every rompus is a zumpus. Zumpuses are amenable. Zumpuses are numpuses. Each numpus is opaque. Numpuses are tumpuses. Each tumpus is not bright. Each tumpus is an impus. Every impus is temperate. Impuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nJompus($x, bool) ::: Does x belong to Jompuses?\nWooden($x, bool) ::: Is x wooden?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nTemperate($x, bool) ::: Is x temperate?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nBitter($x, bool) ::: Is x bitter?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nRompus($x, bool) ::: Does x belong to Rompuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nAmenable($x, bool) ::: Is x amenable?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOpaque($x, bool) ::: Is x opaque?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nZumpus('Stella', True)\n\nWe have following known rules from the context:\nrule1: Jompus($x, True) → Wooden($x, True)\nrule2: Vumpus($x, True) → Temperate($x, False)\nrule3: Jompus($x, True) → Yumpus($x, True)\nrule4: Yumpus($x, True) → Bitter($x, True)\nrule5: Yumpus($x, True) → Dumpus($x, True)\nrule6: Dumpus($x, True) → Large($x, False)\nrule7: Dumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Earthy($x, False)\nrule9: Rompus($x, True) → Zumpus($x, True)\nrule10: Zumpus($x, True) → Amenable($x, True)\nrule11: Zumpus($x, True) → Numpus($x, True)\nrule12: Numpus($x, True) → Opaque($x, True)\nrule13: Numpus($x, True) → Tumpus($x, True)\nrule14: Tumpus($x, True) → Bright($x, False)\nrule15: Tumpus($x, True) → Impus($x, True)\nrule16: Impus($x, True) → Temperate($x, True)\nrule17: Impus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule10: Zumpus($x, True) → Amenable($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Amenable('Stella', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Zumpus($x, True) → Numpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Numpus('Stella', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Numpus($x, True) → Opaque($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Opaque('Stella', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Tumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Tumpus('Stella', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Tumpus($x, True) → Bright($x, False)\nBind $x to 'Stella'\nObtain a new implied fact: Bright('Stella', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Impus('Stella', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Impus($x, True) → Temperate($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Temperate('Stella', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Stella'\nObtain a new implied fact: Wumpus('Stella', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Stella', True)\nTumpus('Stella', True)\nImpus('Stella', True)\nAmenable('Stella', True)\nOpaque('Stella', True)\nBright('Stella', False)\nTemperate('Stella', True)\nWumpus('Stella', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Stella does not belong to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Stella', False)\nAccording to the known fact: Zumpus('Stella', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-462_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nRex is a yumpus. Every dumpus is not opaque. Dumpuses are zumpuses. Every zumpus is kind. Every zumpus is a vumpus. Every vumpus is happy. Vumpuses are impuses. Each impus is small. Impuses are yumpuses. Each yumpus is metallic. Yumpuses are rompuses. Rompuses are bright. Rompuses are numpuses. Numpuses are not earthy. Numpuses are jompuses. Every tumpus is earthy. Jompuses are sweet. Jompuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nOpaque($x, bool) ::: Is x opaque?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nImpus($x, bool) ::: Does x belong to Impuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nMetallic($x, bool) ::: Is x metallic?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nEarthy($x, bool) ::: Is x earthy?\nJompus($x, bool) ::: Does x belong to Jompuses?\nSweet($x, bool) ::: Is x sweet?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nYumpus('Rex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Opaque($x, False)\nrule2: Dumpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Kind($x, True)\nrule4: Zumpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Happy($x, True)\nrule6: Vumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Small($x, True)\nrule8: Impus($x, True) → Yumpus($x, True)\nrule9: Yumpus($x, True) → Metallic($x, True)\nrule10: Yumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Bright($x, True)\nrule12: Rompus($x, True) → Numpus($x, True)\nrule13: Numpus($x, True) → Earthy($x, False)\nrule14: Numpus($x, True) → Jompus($x, True)\nrule15: Tumpus($x, True) → Earthy($x, True)\nrule16: Jompus($x, True) → Sweet($x, True)\nrule17: Jompus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule9: Yumpus($x, True) → Metallic($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Metallic('Rex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Rompus('Rex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Bright($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Bright('Rex', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Numpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Numpus('Rex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Numpus($x, True) → Earthy($x, False)\nBind $x to 'Rex'\nObtain a new implied fact: Earthy('Rex', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Jompus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Jompus('Rex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Jompus($x, True) → Sweet($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Sweet('Rex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Jompus($x, True) → Wumpus($x, True)\nBind $x to 'Rex'\nObtain a new implied fact: Wumpus('Rex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Rex', True)\nNumpus('Rex', True)\nJompus('Rex', True)\nMetallic('Rex', True)\nBright('Rex', True)\nEarthy('Rex', False)\nSweet('Rex', True)\nWumpus('Rex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Rex is bright.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nBright('Rex', True)\nAccording to the implied fact: Bright('Rex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-382_ic-0",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a rompus. Each dumpus is angry. Every dumpus is a numpus. Numpuses are not orange. Numpuses are rompuses. Rompuses are small. Every rompus is a yumpus. Yumpuses are earthy. Yumpuses are zumpuses. Each zumpus is sour. Each zumpus is a tumpus. Tumpuses are not dull. Each tumpus is an impus. Impuses are opaque. Impuses are wumpuses. Each wumpus is feisty. Each vumpus is dull. Wumpuses are jompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nAngry($x, bool) ::: Is x angry?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nOrange($x, bool) ::: Is x orange?\nRompus($x, bool) ::: Does x belong to Rompuses?\nSmall($x, bool) ::: Is x small?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nEarthy($x, bool) ::: Is x earthy?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nSour($x, bool) ::: Is x sour?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nDull($x, bool) ::: Is x dull?\nImpus($x, bool) ::: Does x belong to Impuses?\nOpaque($x, bool) ::: Is x opaque?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nFeisty($x, bool) ::: Is x feisty?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nJompus($x, bool) ::: Does x belong to Jompuses?\n\nWe have following known facts from the context:\nRompus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Dumpus($x, True) → Angry($x, True)\nrule2: Dumpus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Orange($x, False)\nrule4: Numpus($x, True) → Rompus($x, True)\nrule5: Rompus($x, True) → Small($x, True)\nrule6: Rompus($x, True) → Yumpus($x, True)\nrule7: Yumpus($x, True) → Earthy($x, True)\nrule8: Yumpus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Sour($x, True)\nrule10: Zumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Dull($x, False)\nrule12: Tumpus($x, True) → Impus($x, True)\nrule13: Impus($x, True) → Opaque($x, True)\nrule14: Impus($x, True) → Wumpus($x, True)\nrule15: Wumpus($x, True) → Feisty($x, True)\nrule16: Vumpus($x, True) → Dull($x, True)\nrule17: Wumpus($x, True) → Jompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Rompus($x, True) → Small($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Small('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Yumpus($x, True) → Earthy($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Earthy('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Zumpus('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Sour($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Sour('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Tumpus('Alex', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Dull($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Dull('Alex', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Impus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Impus('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Impus($x, True) → Opaque($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Opaque('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Impus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Wumpus($x, True) → Feisty($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Feisty('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Wumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nYumpus('Alex', True)\nZumpus('Alex', True)\nTumpus('Alex', True)\nImpus('Alex', True)\nWumpus('Alex', True)\nSmall('Alex', True)\nEarthy('Alex', True)\nSour('Alex', True)\nDull('Alex', False)\nOpaque('Alex', True)\nFeisty('Alex', True)\nJompus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is small.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nSmall('Alex', True)\nAccording to the implied fact: Small('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-238_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nMax is a vumpus. Wumpuses are sweet. Numpuses are not small. Wumpuses are impuses. Impuses are dull. Each impus is a vumpus. Every vumpus is nervous. Vumpuses are jompuses. Jompuses are aggressive. Jompuses are dumpuses. Dumpuses are small. Each dumpus is a yumpus. Yumpuses are cold. Yumpuses are zumpuses. Zumpuses are wooden. Zumpuses are rompuses. Every rompus is floral. Rompuses are tumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nSmall($x, bool) ::: Is x small?\nImpus($x, bool) ::: Does x belong to Impuses?\nDull($x, bool) ::: Is x dull?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nNervous($x, bool) ::: Is x nervous?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAggressive($x, bool) ::: Is x aggressive?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nCold($x, bool) ::: Is x cold?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nWooden($x, bool) ::: Is x wooden?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nVumpus('Max', True)\n\nWe have following known rules from the context:\nrule1: Wumpus($x, True) → Sweet($x, True)\nrule2: Numpus($x, True) → Small($x, False)\nrule3: Wumpus($x, True) → Impus($x, True)\nrule4: Impus($x, True) → Dull($x, True)\nrule5: Impus($x, True) → Vumpus($x, True)\nrule6: Vumpus($x, True) → Nervous($x, True)\nrule7: Vumpus($x, True) → Jompus($x, True)\nrule8: Jompus($x, True) → Aggressive($x, True)\nrule9: Jompus($x, True) → Dumpus($x, True)\nrule10: Dumpus($x, True) → Small($x, True)\nrule11: Dumpus($x, True) → Yumpus($x, True)\nrule12: Yumpus($x, True) → Cold($x, True)\nrule13: Yumpus($x, True) → Zumpus($x, True)\nrule14: Zumpus($x, True) → Wooden($x, True)\nrule15: Zumpus($x, True) → Rompus($x, True)\nrule16: Rompus($x, True) → Floral($x, True)\nrule17: Rompus($x, True) → Tumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule6: Vumpus($x, True) → Nervous($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Nervous('Max', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Jompus('Max', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Aggressive($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Aggressive('Max', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Dumpus('Max', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Small($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Small('Max', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Yumpus('Max', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Yumpus($x, True) → Cold($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Cold('Max', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Yumpus($x, True) → Zumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Zumpus('Max', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Wooden($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Wooden('Max', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Zumpus($x, True) → Rompus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Rompus('Max', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Rompus($x, True) → Floral($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Floral('Max', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Max'\nObtain a new implied fact: Tumpus('Max', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Max', True)\nDumpus('Max', True)\nYumpus('Max', True)\nZumpus('Max', True)\nRompus('Max', True)\nNervous('Max', True)\nAggressive('Max', True)\nSmall('Max', True)\nCold('Max', True)\nWooden('Max', True)\nFloral('Max', True)\nTumpus('Max', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Max belongs to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Max', True)\nAccording to the implied fact: Rompus('Max', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-496_ic-4",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a jompus. Each impus is feisty. Each impus is a numpus. Numpuses are temperate. Every numpus is a vumpus. Vumpuses are not small. Vumpuses are jompuses. Jompuses are blue. Jompuses are dumpuses. Dumpuses are not dull. Each dumpus is a rompus. Rompuses are not opaque. Each rompus is a zumpus. Each zumpus is not kind. Every yumpus is opaque. Every zumpus is a tumpus. Every tumpus is earthy. Tumpuses are wumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nImpus($x, bool) ::: Does x belong to Impuses?\nFeisty($x, bool) ::: Is x feisty?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTemperate($x, bool) ::: Is x temperate?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nSmall($x, bool) ::: Is x small?\nJompus($x, bool) ::: Does x belong to Jompuses?\nBlue($x, bool) ::: Is x blue?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nDull($x, bool) ::: Is x dull?\nRompus($x, bool) ::: Does x belong to Rompuses?\nOpaque($x, bool) ::: Is x opaque?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nKind($x, bool) ::: Is x kind?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nEarthy($x, bool) ::: Is x earthy?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\n\nWe have following known facts from the context:\nJompus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Impus($x, True) → Feisty($x, True)\nrule2: Impus($x, True) → Numpus($x, True)\nrule3: Numpus($x, True) → Temperate($x, True)\nrule4: Numpus($x, True) → Vumpus($x, True)\nrule5: Vumpus($x, True) → Small($x, False)\nrule6: Vumpus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Blue($x, True)\nrule8: Jompus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Dull($x, False)\nrule10: Dumpus($x, True) → Rompus($x, True)\nrule11: Rompus($x, True) → Opaque($x, False)\nrule12: Rompus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Kind($x, False)\nrule14: Yumpus($x, True) → Opaque($x, True)\nrule15: Zumpus($x, True) → Tumpus($x, True)\nrule16: Tumpus($x, True) → Earthy($x, True)\nrule17: Tumpus($x, True) → Wumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Jompus($x, True) → Blue($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Blue('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Dumpus($x, True) → Dull($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Dull('Fae', False)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Rompus($x, True) → Opaque($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Opaque('Fae', False)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Rompus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Kind($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule15: Zumpus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Tumpus($x, True) → Earthy($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Earthy('Fae', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Tumpus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nDumpus('Fae', True)\nRompus('Fae', True)\nZumpus('Fae', True)\nTumpus('Fae', True)\nBlue('Fae', True)\nDull('Fae', False)\nOpaque('Fae', False)\nKind('Fae', False)\nEarthy('Fae', True)\nWumpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Rompuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nRompus('Fae', False)\nAccording to the implied fact: Rompus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-2_case-109_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nPolly is a tumpus. Every numpus is transparent. Every numpus is a jompus. Every jompus is angry. Jompuses are wumpuses. Wumpuses are not sweet. Wumpuses are vumpuses. Every vumpus is not happy. Vumpuses are dumpuses. Dumpuses are floral. Every dumpus is a tumpus. Each tumpus is large. Every tumpus is a zumpus. Zumpuses are hot. Zumpuses are yumpuses. Impuses are not hot. Every yumpus is luminous. Yumpuses are rompuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nTransparent($x, bool) ::: Is x transparent?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAngry($x, bool) ::: Is x angry?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nSweet($x, bool) ::: Is x sweet?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nHappy($x, bool) ::: Is x happy?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nLarge($x, bool) ::: Is x large?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nHot($x, bool) ::: Is x hot?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nLuminous($x, bool) ::: Is x luminous?\nRompus($x, bool) ::: Does x belong to Rompuses?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nTumpus('Polly', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Transparent($x, True)\nrule2: Numpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Angry($x, True)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Sweet($x, False)\nrule6: Wumpus($x, True) → Vumpus($x, True)\nrule7: Vumpus($x, True) → Happy($x, False)\nrule8: Vumpus($x, True) → Dumpus($x, True)\nrule9: Dumpus($x, True) → Floral($x, True)\nrule10: Dumpus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Large($x, True)\nrule12: Tumpus($x, True) → Zumpus($x, True)\nrule13: Zumpus($x, True) → Hot($x, True)\nrule14: Zumpus($x, True) → Yumpus($x, True)\nrule15: Impus($x, True) → Hot($x, False)\nrule16: Yumpus($x, True) → Luminous($x, True)\nrule17: Yumpus($x, True) → Rompus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule11: Tumpus($x, True) → Large($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Large('Polly', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Zumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Zumpus('Polly', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Hot($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Hot('Polly', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Zumpus($x, True) → Yumpus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Yumpus('Polly', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule16: Yumpus($x, True) → Luminous($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Luminous('Polly', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Rompus($x, True)\nBind $x to 'Polly'\nObtain a new implied fact: Rompus('Polly', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nZumpus('Polly', True)\nYumpus('Polly', True)\nLarge('Polly', True)\nHot('Polly', True)\nLuminous('Polly', True)\nRompus('Polly', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Polly is luminous.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLuminous('Polly', True)\nAccording to the implied fact: Luminous('Polly', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-115_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nFae is a vumpus. Every vumpus is metallic. Vumpuses are jompuses. Numpuses are fruity. Jompuses are temperate. Every jompus is a tumpus. Tumpuses are not transparent. Tumpuses are rompuses. Each rompus is bitter. Rompuses are wumpuses. Wumpuses are not fruity. Every wumpus is a zumpus. Zumpuses are not bright. Zumpuses are dumpuses. Each dumpus is large. Dumpuses are yumpuses. Each yumpus is not kind. Every yumpus is an impus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nMetallic($x, bool) ::: Is x metallic?\nJompus($x, bool) ::: Does x belong to Jompuses?\nNumpus($x, bool) ::: Does x belong to Numpuses?\nFruity($x, bool) ::: Is x fruity?\nTemperate($x, bool) ::: Is x temperate?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nTransparent($x, bool) ::: Is x transparent?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBitter($x, bool) ::: Is x bitter?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nBright($x, bool) ::: Is x bright?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nLarge($x, bool) ::: Is x large?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nKind($x, bool) ::: Is x kind?\nImpus($x, bool) ::: Does x belong to Impuses?\n\nWe have following known facts from the context:\nVumpus('Fae', True)\n\nWe have following known rules from the context:\nrule1: Vumpus($x, True) → Metallic($x, True)\nrule2: Vumpus($x, True) → Jompus($x, True)\nrule3: Numpus($x, True) → Fruity($x, True)\nrule4: Jompus($x, True) → Temperate($x, True)\nrule5: Jompus($x, True) → Tumpus($x, True)\nrule6: Tumpus($x, True) → Transparent($x, False)\nrule7: Tumpus($x, True) → Rompus($x, True)\nrule8: Rompus($x, True) → Bitter($x, True)\nrule9: Rompus($x, True) → Wumpus($x, True)\nrule10: Wumpus($x, True) → Fruity($x, False)\nrule11: Wumpus($x, True) → Zumpus($x, True)\nrule12: Zumpus($x, True) → Bright($x, False)\nrule13: Zumpus($x, True) → Dumpus($x, True)\nrule14: Dumpus($x, True) → Large($x, True)\nrule15: Dumpus($x, True) → Yumpus($x, True)\nrule16: Yumpus($x, True) → Kind($x, False)\nrule17: Yumpus($x, True) → Impus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Vumpus($x, True) → Metallic($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Metallic('Fae', True)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Jompus('Fae', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Jompus($x, True) → Temperate($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Temperate('Fae', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Tumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Tumpus('Fae', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Tumpus($x, True) → Transparent($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Transparent('Fae', False)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Tumpus($x, True) → Rompus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Rompus('Fae', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Rompus($x, True) → Bitter($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Bitter('Fae', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Wumpus('Fae', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Wumpus($x, True) → Fruity($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Fruity('Fae', False)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Wumpus($x, True) → Zumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Zumpus('Fae', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Zumpus($x, True) → Bright($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Bright('Fae', False)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Dumpus('Fae', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Dumpus($x, True) → Large($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Large('Fae', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Yumpus('Fae', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Yumpus($x, True) → Kind($x, False)\nBind $x to 'Fae'\nObtain a new implied fact: Kind('Fae', False)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Yumpus($x, True) → Impus($x, True)\nBind $x to 'Fae'\nObtain a new implied fact: Impus('Fae', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Fae', True)\nTumpus('Fae', True)\nRompus('Fae', True)\nWumpus('Fae', True)\nZumpus('Fae', True)\nDumpus('Fae', True)\nYumpus('Fae', True)\nMetallic('Fae', True)\nTemperate('Fae', True)\nTransparent('Fae', False)\nBitter('Fae', True)\nFruity('Fae', False)\nBright('Fae', False)\nLarge('Fae', True)\nKind('Fae', False)\nImpus('Fae', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Fae does not belong to Impuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Fae', False)\nAccording to the implied fact: Impus('Fae', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-428_ic-1",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nSally is an impus. Every numpus is bitter. Each numpus is a zumpus. Every zumpus is feisty. Zumpuses are wumpuses. Wumpuses are bright. Every wumpus is an impus. Every impus is not brown. Each impus is a rompus. Every rompus is floral. Every rompus is a tumpus. Every tumpus is cold. Every tumpus is a vumpus. Each vumpus is not opaque. Vumpuses are jompuses. Each jompus is liquid. Yumpuses are brown. Each jompus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nNumpus($x, bool) ::: Does x belong to Numpuses?\nBitter($x, bool) ::: Is x bitter?\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nFeisty($x, bool) ::: Is x feisty?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nBright($x, bool) ::: Is x bright?\nImpus($x, bool) ::: Does x belong to Impuses?\nBrown($x, bool) ::: Is x brown?\nRompus($x, bool) ::: Does x belong to Rompuses?\nFloral($x, bool) ::: Is x floral?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\nCold($x, bool) ::: Is x cold?\nVumpus($x, bool) ::: Does x belong to Vumpuses?\nOpaque($x, bool) ::: Is x opaque?\nJompus($x, bool) ::: Does x belong to Jompuses?\nLiquid($x, bool) ::: Is x liquid?\nYumpus($x, bool) ::: Does x belong to Yumpuses?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\n\nWe have following known facts from the context:\nImpus('Sally', True)\n\nWe have following known rules from the context:\nrule1: Numpus($x, True) → Bitter($x, True)\nrule2: Numpus($x, True) → Zumpus($x, True)\nrule3: Zumpus($x, True) → Feisty($x, True)\nrule4: Zumpus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Bright($x, True)\nrule6: Wumpus($x, True) → Impus($x, True)\nrule7: Impus($x, True) → Brown($x, False)\nrule8: Impus($x, True) → Rompus($x, True)\nrule9: Rompus($x, True) → Floral($x, True)\nrule10: Rompus($x, True) → Tumpus($x, True)\nrule11: Tumpus($x, True) → Cold($x, True)\nrule12: Tumpus($x, True) → Vumpus($x, True)\nrule13: Vumpus($x, True) → Opaque($x, False)\nrule14: Vumpus($x, True) → Jompus($x, True)\nrule15: Jompus($x, True) → Liquid($x, True)\nrule16: Yumpus($x, True) → Brown($x, True)\nrule17: Jompus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Impus($x, True) → Brown($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Brown('Sally', False)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Impus($x, True) → Rompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Rompus('Sally', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Rompus($x, True) → Floral($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Floral('Sally', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Rompus($x, True) → Tumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Tumpus('Sally', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Tumpus($x, True) → Cold($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Cold('Sally', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule12: Tumpus($x, True) → Vumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Vumpus('Sally', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Vumpus($x, True) → Opaque($x, False)\nBind $x to 'Sally'\nObtain a new implied fact: Opaque('Sally', False)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Vumpus($x, True) → Jompus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Jompus('Sally', True)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Jompus($x, True) → Liquid($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Liquid('Sally', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule17: Jompus($x, True) → Dumpus($x, True)\nBind $x to 'Sally'\nObtain a new implied fact: Dumpus('Sally', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nRompus('Sally', True)\nTumpus('Sally', True)\nVumpus('Sally', True)\nJompus('Sally', True)\nBrown('Sally', False)\nFloral('Sally', True)\nCold('Sally', True)\nOpaque('Sally', False)\nLiquid('Sally', True)\nDumpus('Sally', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Sally is liquid.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLiquid('Sally', True)\nAccording to the implied fact: Liquid('Sally', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-80_ic-3",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a zumpus. Every zumpus is not orange. Every zumpus is a jompus. Every tumpus is orange. Jompuses are amenable. Jompuses are rompuses. Each rompus is bright. Every rompus is a wumpus. Wumpuses are wooden. Every wumpus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nZumpus($x, bool) ::: Does x belong to Zumpuses?\nOrange($x, bool) ::: Is x orange?\nJompus($x, bool) ::: Does x belong to Jompuses?\nAmenable($x, bool) ::: Is x amenable?\nRompus($x, bool) ::: Does x belong to Rompuses?\nBright($x, bool) ::: Is x bright?\nWumpus($x, bool) ::: Does x belong to Wumpuses?\nWooden($x, bool) ::: Is x wooden?\nDumpus($x, bool) ::: Does x belong to Dumpuses?\nTumpus($x, bool) ::: Does x belong to Tumpuses?\n\nWe have following known facts from the context:\nZumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Orange($x, False)\nrule2: Zumpus($x, True) → Jompus($x, True)\nrule3: Tumpus($x, True) → Orange($x, True)\nrule4: Jompus($x, True) → Amenable($x, True)\nrule5: Jompus($x, True) → Rompus($x, True)\nrule6: Rompus($x, True) → Bright($x, True)\nrule7: Rompus($x, True) → Wumpus($x, True)\nrule8: Wumpus($x, True) → Wooden($x, True)\nrule9: Wumpus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule1: Zumpus($x, True) → Orange($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Orange('Alex', False)\nUnbind $x\nFinish implied with rule1\n\nUse rule2: Zumpus($x, True) → Jompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Jompus('Alex', True)\nUnbind $x\nFinish implied with rule2\n\nUse rule4: Jompus($x, True) → Amenable($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', True)\nUnbind $x\nFinish implied with rule4\n\nUse rule5: Jompus($x, True) → Rompus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Rompus('Alex', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Rompus($x, True) → Bright($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Bright('Alex', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wumpus('Alex', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Wumpus($x, True) → Wooden($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Wooden('Alex', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Wumpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule9\n\nFinally, we obtain following implied facts:\nJompus('Alex', True)\nRompus('Alex', True)\nWumpus('Alex', True)\nOrange('Alex', False)\nAmenable('Alex', True)\nBright('Alex', True)\nWooden('Alex', True)\nDumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex belongs to Zumpuses.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nZumpus('Alex', True)\nAccording to the known fact: Zumpus('Alex', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-5_case-22_ic-7",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is an impus. Tumpuses are brown. Each tumpus is a vumpus. Vumpuses are happy. Every vumpus is an impus. Impuses are large. Impuses are jompuses. Jompuses are opaque. Every jompus is a zumpus. Zumpuses are angry. Every zumpus is a dumpus. Dumpuses are temperate. Every yumpus is fruity. Each dumpus is a rompus. Rompuses are not fruity. Rompuses are wumpuses. Wumpuses are spicy. Every wumpus is a numpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nBrown($x, bool) ::: Is x brown?\nHappy($x, bool) ::: Is x happy?\nLarge($x, bool) ::: Is x large?\nOpaque($x, bool) ::: Is x opaque?\nAngry($x, bool) ::: Is x angry?\nTemperate($x, bool) ::: Is x temperate?\nSpicy($x, bool) ::: Is x spicy?\n\nWe have following known facts from the context:\nImpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Tumpus($x, True) → Brown($x, True)\nrule2: Tumpus($x, True) → Vumpus($x, True)\nrule3: Vumpus($x, True) → Happy($x, True)\nrule4: Vumpus($x, True) → Impus($x, True)\nrule5: Impus($x, True) → Large($x, True)\nrule6: Impus($x, True) → Jompus($x, True)\nrule7: Jompus($x, True) → Opaque($x, True)\nrule8: Jompus($x, True) → Zumpus($x, True)\nrule9: Zumpus($x, True) → Angry($x, True)\nrule10: Zumpus($x, True) → Dumpus($x, True)\nrule11: Dumpus($x, True) → Temperate($x, True)\nrule12: Yumpus($x, True) → Fruity($x, True)\nrule13: Dumpus($x, True) → Rompus($x, True)\nrule14: Rompus($x, True) → Fruity($x, False)\nrule15: Rompus($x, True) → Wumpus($x, True)\nrule16: Wumpus($x, True) → Spicy($x, True)\nrule17: Wumpus($x, True) → Numpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule5: Impus($x, True) → Large($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Large('Wren', True)\nUnbind $x\nFinish implied with rule5\n\nUse rule6: Impus($x, True) → Jompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Jompus('Wren', True)\nUnbind $x\nFinish implied with rule6\n\nUse rule7: Jompus($x, True) → Opaque($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Opaque('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Jompus($x, True) → Zumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Zumpus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule9: Zumpus($x, True) → Angry($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Angry('Wren', True)\nUnbind $x\nFinish implied with rule9\n\nUse rule10: Zumpus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Dumpus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nUse rule13: Dumpus($x, True) → Rompus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Rompus('Wren', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Rompus($x, True) → Fruity($x, False)\nBind $x to 'Wren'\nObtain a new implied fact: Fruity('Wren', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Rompus($x, True) → Wumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Wumpus('Wren', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Wumpus($x, True) → Spicy($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Spicy('Wren', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Wumpus($x, True) → Numpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Numpus('Wren', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nJompus('Wren', True)\nZumpus('Wren', True)\nDumpus('Wren', True)\nRompus('Wren', True)\nWumpus('Wren', True)\nLarge('Wren', True)\nOpaque('Wren', True)\nAngry('Wren', True)\nTemperate('Wren', True)\nFruity('Wren', False)\nSpicy('Wren', True)\nNumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is large.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nLarge('Wren', True)\nAccording to the implied fact: Large('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-1_case-413_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nWren is a zumpus. Rompuses are not dull. Rompuses are wumpuses. Wumpuses are not wooden. Wumpuses are yumpuses. Every yumpus is large. Yumpuses are zumpuses. Zumpuses are temperate. Zumpuses are impuses. Jompuses are not temperate. Impuses are sour. Every impus is a dumpus.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nDull($x, bool) ::: Is x dull?\nWooden($x, bool) ::: Is x wooden?\nLarge($x, bool) ::: Is x large?\nTemperate($x, bool) ::: Is x temperate?\nSour($x, bool) ::: Is x sour?\n\nWe have following known facts from the context:\nZumpus('Wren', True)\n\nWe have following known rules from the context:\nrule1: Rompus($x, True) → Dull($x, False)\nrule2: Rompus($x, True) → Wumpus($x, True)\nrule3: Wumpus($x, True) → Wooden($x, False)\nrule4: Wumpus($x, True) → Yumpus($x, True)\nrule5: Yumpus($x, True) → Large($x, True)\nrule6: Yumpus($x, True) → Zumpus($x, True)\nrule7: Zumpus($x, True) → Temperate($x, True)\nrule8: Zumpus($x, True) → Impus($x, True)\nrule9: Jompus($x, True) → Temperate($x, False)\nrule10: Impus($x, True) → Sour($x, True)\nrule11: Impus($x, True) → Dumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule7: Zumpus($x, True) → Temperate($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Temperate('Wren', True)\nUnbind $x\nFinish implied with rule7\n\nUse rule8: Zumpus($x, True) → Impus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Impus('Wren', True)\nUnbind $x\nFinish implied with rule8\n\nUse rule10: Impus($x, True) → Sour($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Sour('Wren', True)\nUnbind $x\nFinish implied with rule10\n\nUse rule11: Impus($x, True) → Dumpus($x, True)\nBind $x to 'Wren'\nObtain a new implied fact: Dumpus('Wren', True)\nUnbind $x\nFinish implied with rule11\n\nFinally, we obtain following implied facts:\nImpus('Wren', True)\nTemperate('Wren', True)\nSour('Wren', True)\nDumpus('Wren', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Wren is impus.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nImpus('Wren', True)\nAccording to the implied fact: Impus('Wren', True)\nThe comment is consistent with the fact.\nSo, the correct option is: A) True"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-3_case-331_ic-6",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. begin reasoning to obtain all implied facts\n\nContext:\nAlex is a tumpus. Zumpuses are opaque. Every zumpus is a jompus. Every jompus is not fruity. Jompuses are wumpuses. Each wumpus is small. Wumpuses are rompuses. Every rompus is sweet. Rompuses are impuses. Each impus is shy. Impuses are tumpuses. Each vumpus is not cold. Tumpuses are metallic. Each tumpus is a numpus. Every numpus is not amenable. Each numpus is a dumpus. Dumpuses are cold. Dumpuses are yumpuses.\n\nReasoning:"
      },
      {
        "from": "gpt",
        "value": "We first define following predicates and corresponding natural language explanations:\nOpaque($x, bool) ::: Is x opaque?\nSmall($x, bool) ::: Is x small?\nSweet($x, bool) ::: Is x sweet?\nMetallic($x, bool) ::: Is x metallic?\nAmenable($x, bool) ::: Is x amenable?\n\nWe have following known facts from the context:\nTumpus('Alex', True)\n\nWe have following known rules from the context:\nrule1: Zumpus($x, True) → Opaque($x, True)\nrule2: Zumpus($x, True) → Jompus($x, True)\nrule3: Jompus($x, True) → Fruity($x, False)\nrule4: Jompus($x, True) → Wumpus($x, True)\nrule5: Wumpus($x, True) → Small($x, True)\nrule6: Wumpus($x, True) → Rompus($x, True)\nrule7: Rompus($x, True) → Sweet($x, True)\nrule8: Rompus($x, True) → Impus($x, True)\nrule9: Impus($x, True) → Shy($x, True)\nrule10: Impus($x, True) → Tumpus($x, True)\nrule11: Vumpus($x, True) → Cold($x, False)\nrule12: Tumpus($x, True) → Metallic($x, True)\nrule13: Tumpus($x, True) → Numpus($x, True)\nrule14: Numpus($x, True) → Amenable($x, False)\nrule15: Numpus($x, True) → Dumpus($x, True)\nrule16: Dumpus($x, True) → Cold($x, True)\nrule17: Dumpus($x, True) → Yumpus($x, True)\n\nNow begin reasoning to obtain all implied facts:\n\nUse rule12: Tumpus($x, True) → Metallic($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Metallic('Alex', True)\nUnbind $x\nFinish implied with rule12\n\nUse rule13: Tumpus($x, True) → Numpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Numpus('Alex', True)\nUnbind $x\nFinish implied with rule13\n\nUse rule14: Numpus($x, True) → Amenable($x, False)\nBind $x to 'Alex'\nObtain a new implied fact: Amenable('Alex', False)\nUnbind $x\nFinish implied with rule14\n\nUse rule15: Numpus($x, True) → Dumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Dumpus('Alex', True)\nUnbind $x\nFinish implied with rule15\n\nUse rule16: Dumpus($x, True) → Cold($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Cold('Alex', True)\nUnbind $x\nFinish implied with rule16\n\nUse rule17: Dumpus($x, True) → Yumpus($x, True)\nBind $x to 'Alex'\nObtain a new implied fact: Yumpus('Alex', True)\nUnbind $x\nFinish implied with rule17\n\nFinally, we obtain following implied facts:\nNumpus('Alex', True)\nDumpus('Alex', True)\nMetallic('Alex', True)\nAmenable('Alex', False)\nCold('Alex', True)\nYumpus('Alex', True)\n\nFinish reasoning"
      },
      {
        "from": "human",
        "value": "Question: Based on the above information, is the following comment true or false? Alex is not metallic.\n\nOptions:\nA) True\nB) False\n\nNow you should:\n1. reason first carefully with the above known facts and implied facts\n2. then output your answer strictly in the format of \"So, the correct option is: {X}\". The {X} should be replaced by \"A) True\" or \"B) False\""
      },
      {
        "from": "gpt",
        "value": "The comment can be parsed into:\nMetallic('Alex', False)\nAccording to the implied fact: Metallic('Alex', True)\nThe comment contradicts the fact.\nSo, the correct option is: B) False"
      }
    ]
  },
  {
    "id": "ProntoQA_train_hop-4_case-215_ic-2",
    "conversations": [
      {
        "from": "human",
        "value": "Task Description: Given a statement containing logical facts and rules in natural languages as context, the task is to:\n1. define all the predicates in logic forms from the context\n2. parse the statement into known facts and rules based on the defined predicates\n3. b